{ "cells": [ { "cell_type": "markdown", "id": "90a2ab46", "metadata": {}, "source": [ "Tutorial: large rotations with the co-rotational kinematics\n", "===\n", "\n", "Date: 30 of October 2026\n", "\n", "Author: Saullo G. P. Castro\n", "\n", "The elements of pyfe3d use either their own von Kármán strains, valid for\n", "small strains and moderate rotations, or, through\n", "`pyfe3d.corotational.CorotationalModel`, the element-independent\n", "co-rotational (EICR) formulation, valid for large displacements and large\n", "rotations with small strains. This notebook compares the three non-linear\n", "kinematics of `CorotationalModel.add()` on three benchmarks of Sze, Liu and\n", "Lo [1]:\n", "\n", "| `kinematics` | strains of the element | range of validity |\n", "|---|---|---|\n", "| `'von_karman'` | von Kármán strains in the frame of the undeformed element | small strains, moderate rotations |\n", "| `'corotational'` | linear strains in the co-rotational (CR) frame of the element | small strains, large rotations |\n", "| `'corotational_von_karman'` | von Kármán strains in the CR frame | small strains, large rotations |\n", "\n", "In the CR frame the von Kármán terms of the shells (`Quad4R` here) and of\n", "`BeamLR` vanish, and `'corotational_von_karman'` gives the results of\n", "`'corotational'` for them, to round-off; it changes the results of `BeamC`\n", "only, whose von Kármán axial strain is averaged over the element, see the\n", "Notes of `pyfe3d.corotational.CorotationalBeam` and Crisfield [4], Section\n", "17.1.5, Eqs. (17.56a-b).\n", "\n", "The cases, with the figures and tables of [1] that give their data and\n", "reference values:\n", "\n", "1. Section 3.1, Fig. 2a, Table 2a (p. 1556): cantilever under an end shear\n", " force, `BeamC` and `Quad4R`, Newton-Raphson;\n", "2. Section 3.2, Fig. 3a, Table 3a (p. 1557): cantilever rolled up into a\n", " full circle by an end moment, `BeamC` and `Quad4R`, against the exact\n", " circle, Newton-Raphson;\n", "3. Section 3.8, Fig. 9a, Table 9a (pp. 1564-1565): hinged cylindrical roof,\n", " 12.7 thick, under a central point load, `Quad4R`, Crisfield's\n", " arc-length method.\n", "\n", "The models and the reference values are imported from\n", "`tests/test_corotational_benchmarks.py` and\n", "`tests/test_nonlinear_benchmarks_sze2004.py`, which run the same checks as\n", "tests, with the same tolerances; the convergence of the meshes used here is\n", "documented in the docstrings of those tests. The von Kármán kinematics of\n", "the elements alone, assembled without `CorotationalModel`, are compared\n", "with the same benchmarks in the notebook *Geometrically non-linear\n", "benchmarks*. The cells below run in less than half a minute.\n", "\n", "References\n", "---\n", "\n", "[1] Sze, K. Y., Liu, X. H. and Lo, S. H., Popular benchmark problems for\n", "geometric nonlinear analysis of shells, *Finite Elements in Analysis and\n", "Design*, 40(11), 1551-1569, 2004,\n", "[doi:10.1016/j.finel.2003.11.001](https://doi.org/10.1016/j.finel.2003.11.001).\n", "\n", "[2] Felippa, C. A. and Haugen, B., A unified formulation of small-strain\n", "corotational finite elements: I. Theory, *Computer Methods in Applied\n", "Mechanics and Engineering*, 194(21-24), 2285-2335, 2005,\n", "[doi:10.1016/j.cma.2004.07.035](https://doi.org/10.1016/j.cma.2004.07.035).\n", "\n", "[3] Nour-Omid, B. and Rankin, C. C., Finite rotation analysis and\n", "consistent linearization using projectors, *Computer Methods in Applied\n", "Mechanics and Engineering*, 93(3), 353-384, 1991,\n", "[doi:10.1016/0045-7825(91)90248-5](https://doi.org/10.1016/0045-7825(91)90248-5).\n", "\n", "[4] Crisfield, M. A., *Non-linear Finite Element Analysis of Solids and\n", "Structures, Volume 2: Advanced Topics*, John Wiley & Sons, Chichester,\n", "1997.\n", "\n", "[5] MacNeal, R. H. and Harder, R. L., A proposed standard set of problems\n", "to test finite element accuracy, *Finite Elements in Analysis and Design*,\n", "1(1), 3-20, 1985,\n", "[doi:10.1016/0168-874X(85)90003-4](https://doi.org/10.1016/0168-874X(85)90003-4)." ] }, { "cell_type": "markdown", "id": "cb056297", "metadata": {}, "source": [ "Two settings of the co-rotational models\n", "---\n", "\n", "**Rotations below one revolution.** The rotational degrees-of-freedom of\n", "the nodes of co-rotational elements are total rotation vectors\n", "$\\boldsymbol{\\psi}_a$, the nodal rotation matrix being\n", "$\\boldsymbol{R}_a = \\exp(\\mathrm{Spin}(\\boldsymbol{\\psi}_a))$; no state is\n", "kept between the evaluations, and the solvers of `pyfe3d.solver` add the\n", "rotation vectors like the translations. The map from the variation of\n", "$\\boldsymbol{\\psi}$ to the spin, $\\boldsymbol{\\Lambda}(\\boldsymbol{\\psi})$\n", "(`pyfe3d.corotational.Lambda`), is singular at\n", "$|\\boldsymbol{\\psi}| = 2 k \\pi$, $k \\ge 1$: each nodal rotation must stay\n", "below one full revolution, $|\\boldsymbol{\\psi}_a| < 2 \\pi$. The cantilever\n", "of case 2 reaches this limit, its tip turning by $2 \\pi$ at the last load\n", "level, and cannot be continued beyond it.\n", "\n", "**Convergence criterion.** The co-rotational kinematics take the nodal\n", "positions relative to the centroid of each element, so that the default\n", "convergence criterion of `pyfe3d.solver` suffices, without `absTOL`." ] }, { "cell_type": "code", "execution_count": 1, "id": "ce8c7b6f", "metadata": { "execution": { "iopub.execute_input": "2026-10-30T23:37:26.825351Z", "iopub.status.busy": "2026-10-30T23:37:26.825214Z", "iopub.status.idle": "2026-10-30T23:37:27.668396Z", "shell.execute_reply": "2026-10-30T23:37:27.667735Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "pyfe3d 0.12.0 from C:\\Users\\saullogiovanip\\repos\\pyfe3d\\pyfe3d\n" ] } ], "source": [ "import os\n", "import sys\n", "import time\n", "sys.path.insert(0, os.path.join('..', '..', 'tests'))\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "import pyfe3d\n", "from pyfe3d import DOF\n", "from test_nonlinear_benchmarks_sze2004 import (CANTILEVER, TABLE_3A_EXACT,\n", " TABLE_9A, elastica_tip, von_karman_tip, run_hinged_roof,\n", " compare_with_table_9a, limit_points)\n", "from test_corotational_benchmarks import (CANTILEVER_SHEAR, TABLE_2A,\n", " TABLE_3A_S4R, analysis, at_levels, cantilever,\n", " tip_deflections, elastica_end_force, polygon_tip,\n", " run_cantilever_end_shear, run_corotational_roof)\n", "\n", "print('pyfe3d', pyfe3d.__version__, 'from', os.path.dirname(pyfe3d.__file__))\n", "KINEMATICS = ['von_karman', 'corotational', 'corotational_von_karman']\n", "STYLE = {'von_karman': 'C0--', 'corotational': 'C1-',\n", " 'corotational_von_karman': 'C2:'}\n", "T_START = time.time()" ] }, { "cell_type": "markdown", "id": "f7d70b95", "metadata": {}, "source": [ "1. Cantilever under an end shear force (Section 3.1)\n", "===\n", "\n", "Fig. 2a of [1]: length $L = 10$, width $b = 1$, thickness $h = 0.1$,\n", "$E = 1.2 \\times 10^6$, $\\nu = 0$, clamped at $X = 0$, under the end force\n", "$P_{max} = 4 E I/L^2 = 4$ along $+Z$, of fixed direction. Table 2a of [1]\n", "lists $-U$ and $W$ at the tip at 20 load levels, computed with 16x1 S4R\n", "elements; the tip rotates by 64 degrees at $P_{max}$. The reference at\n", "$P_{max}$ is also the inextensible elastica, `elastica_end_force()`,\n", "derived and verified in `tests/test_corotational_benchmarks.py`.\n", "\n", "The models: 16 `BeamC` elements, and a strip of 16x1 `Quad4R` elements,\n", "whose bending stiffness per unit width times $b$ is $EI$ for $\\nu = 0$,\n", "Newton-Raphson in 20 increments of $0.05 P_{max}$.\n", "\n", "**Tolerances**, those of the tests: the co-rotational paths within 1 % of\n", "Table 2a plus 0.0005 for its rounding at the 20 levels, and within 0.2 % of\n", "the elastica at $P_{max}$. Without axial force the von Kármán cantilever\n", "bends as the linear one, $W = P L^3/(3 E I)$, with $u_{,x} = -w_{,x}^2/2$,\n", "which gives $U = -(P/(EI))^2 L^5/15$ (derived in\n", "`test_cantilever_end_shear_von_karman`): the von Kármán paths are checked\n", "against these closed forms, within 0.2 % in $W$ and 0.5 % in $U$." ] }, { "cell_type": "code", "execution_count": 2, "id": "f0f27e65", "metadata": { "execution": { "iopub.execute_input": "2026-10-30T23:37:27.670149Z", "iopub.status.busy": "2026-10-30T23:37:27.669951Z", "iopub.status.idle": "2026-10-30T23:37:29.209024Z", "shell.execute_reply": "2026-10-30T23:37:29.208445Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "elastica at P_max: -U 3.2894, W 6.6996; Table 2a: 3.286, 6.698\n", "BeamC von_karman 0.0 s; at P_max -U 10.6676 (+224.30 %), W 13.3340 (+99.03 %) from the elastica; largest |difference| from Table 2a 7.3816, 6.6360\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "BeamC corotational 0.1 s; at P_max -U 3.2889 ( -0.02 %), W 6.7027 ( +0.05 %) from the elastica; largest |difference| from Table 2a 0.0029, 0.0047\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "BeamC corotational_von_karman 0.2 s; at P_max -U 3.2895 ( +0.00 %), W 6.7001 ( +0.01 %) from the elastica; largest |difference| from Table 2a 0.0035, 0.0029\n", "Quad4R von_karman 0.0 s; at P_max -U 10.6417 (+223.51 %), W 13.3211 (+98.83 %) from the elastica; largest |difference| from Table 2a 7.3557, 6.6231\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Quad4R corotational 0.2 s; at P_max -U 3.2862 ( -0.10 %), W 6.6984 ( -0.02 %) from the elastica; largest |difference| from Table 2a 0.0005, 0.0006\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Quad4R corotational_von_karman 0.5 s; at P_max -U 3.2862 ( -0.10 %), W 6.6984 ( -0.02 %) from the elastica; largest |difference| from Table 2a 0.0005, 0.0006\n", "BeamC von_karman: W over Table 2a 1.0056 at 0.05 P_max, 1.0186 at 0.10 P_max, 1.991 at P_max\n", "Quad4R von_karman: W over Table 2a 1.0046 at 0.05 P_max, 1.0177 at 0.10 P_max, 1.989 at P_max\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "L, b, h, E, Pmax = (CANTILEVER_SHEAR[k] for k in ('L', 'b', 'h', 'E', 'Pmax'))\n", "EI = E*b*h**3/12\n", "Ue, We = elastica_end_force(4.)\n", "print('elastica at P_max: -U %.4f, W %.4f; Table 2a: %.3f, %.3f'\n", " % (L*Ue, L*We, TABLE_2A[-1, 1], TABLE_2A[-1, 2]))\n", "shear = {}\n", "for element in ['BeamC', 'Quad4R']:\n", " for kin in KINEMATICS:\n", " m, U, W, t = run_cantilever_end_shear(element, 16, kinematics=kin)\n", " shear[element, kin] = m, U, W\n", " idx = at_levels(m, TABLE_2A[:, 0])\n", " print('%-7s %-24s %.1f s; at P_max -U %7.4f (%+7.2f %%), W %7.4f (%+6.2f %%) '\n", " 'from the elastica; largest |difference| from Table 2a %.4f, %.4f'\n", " % (element, kin, t, U[-1], 100*(U[-1]/(L*Ue) - 1), W[-1],\n", " 100*(W[-1]/(L*We) - 1), np.abs(U[idx] - TABLE_2A[:, 1]).max(),\n", " np.abs(W[idx] - TABLE_2A[:, 2]).max()))\n", " assert np.isclose(m[-1], 1.)\n", " if kin == 'von_karman':\n", " P = m*Pmax\n", " np.testing.assert_allclose(W, P*L**3/(3*EI), rtol=2e-3)\n", " np.testing.assert_allclose(U, (P/EI)**2*L**5/15, rtol=5e-3)\n", " else:\n", " np.testing.assert_allclose(U[idx], TABLE_2A[:, 1], rtol=0.01, atol=0.0005)\n", " np.testing.assert_allclose(W[idx], TABLE_2A[:, 2], rtol=0.01, atol=0.0005)\n", " assert abs(U[-1]/(L*Ue) - 1) <= 0.002\n", " assert abs(W[-1]/(L*We) - 1) <= 0.002\n", "for element in ['BeamC', 'Quad4R']:\n", " m, U, W = shear[element, 'von_karman']\n", " idx = at_levels(m, TABLE_2A[:, 0])\n", " print('%s von_karman: W over Table 2a %.4f at 0.05 P_max, %.4f at 0.10 P_max, %.3f at P_max'\n", " % (element, W[idx[0]]/TABLE_2A[0, 2], W[idx[1]]/TABLE_2A[1, 2], W[-1]/TABLE_2A[-1, 2]))\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(10, 4), sharey=True)\n", "for ax, element in zip(axes, ['BeamC', 'Quad4R']):\n", " for kin in KINEMATICS:\n", " m, U, W = shear[element, kin]\n", " ax.plot(np.r_[0, U], np.r_[0, m], STYLE[kin], lw=1.5, label='-U, %s' % kin)\n", " ax.plot(np.r_[0, W], np.r_[0, m], STYLE[kin], lw=1.5, alpha=0.6, label='W, %s' % kin)\n", " ax.plot(TABLE_2A[:, 1], TABLE_2A[:, 0], 'ks', mfc='none', ms=5, label='-U, Table 2a')\n", " ax.plot(TABLE_2A[:, 2], TABLE_2A[:, 0], 'ko', mfc='none', ms=5, label='W, Table 2a')\n", " ax.set_title('16 %s' % element if element == 'BeamC' else '16x1 Quad4R')\n", " ax.set_xlim(0, 10)\n", " ax.set_xlabel('tip displacement')\n", " ax.grid(True, alpha=0.3)\n", "axes[0].set_ylabel('$P/P_{max}$')\n", "axes[1].legend(fontsize=7, loc='lower right')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b631b084", "metadata": {}, "source": [ "The two co-rotational kinematics follow Table 2a at all 20 levels with\n", "both elements, within its rounding with `Quad4R`; at $P_{max}$ they are\n", "within 0.1 % of the elastica, whose difference from Table 2a is of the same\n", "order. The von Kármán path leaves Table 2a at once: its deflection is\n", "already 1.8 % too large at $0.1 P_{max}$, a tip rotation of 0.2 rad, and\n", "it ends at twice the deflection of Table 2a, its tip moving back by\n", "$-U = 10.7$, more than the length of the cantilever. These are the closed\n", "forms above, the expected result of the von Kármán strains, not an error of\n", "the elements.\n", "\n", "With `Quad4R`, `'corotational_von_karman'` gives the path of\n", "`'corotational'`, since the von Kármán terms of the shell vanish in its CR\n", "frame. With `BeamC` it changes the path slightly, and moves it towards the\n", "elastica: the element-averaged von Kármán axial strain adds in the CR frame\n", "the local higher-order terms of [4], Eq. (17.56a), which make coarse meshes\n", "more accurate, see the table of\n", "`test_cantilever_end_shear_corotational_von_karman` (with 4 elements,\n", "-0.24 % and +0.68 % from the elastica with `'corotational'`, -0.013 % and\n", "-0.010 % with `'corotational_von_karman'`)." ] }, { "cell_type": "markdown", "id": "ada69481", "metadata": {}, "source": [ "2. Cantilever rolled up into a circle (Section 3.2)\n", "===\n", "\n", "Fig. 3a of [1]: $L = 12$, $b = 1$, $h = 0.1$, $E = 1.2 \\times 10^6$,\n", "$\\nu = 0$, clamped at $X = 0$, under the end moment\n", "$M_{max} = 2 \\pi E I/L$ about $-Y$, which bends the cantilever into a full\n", "circle of radius $L/(2\\pi)$, the tip returning to the root after turning by\n", "$2 \\pi$. The exact tip deflections, $U/L = \\sin\\varphi/\\varphi - 1$ and\n", "$W/L = (1 - \\cos\\varphi)/\\varphi$ with $\\varphi = M L/(EI)$, are listed in\n", "Table 3a of [1] (`elastica_tip()`, checked against Table 3a in\n", "`tests/test_nonlinear_benchmarks_sze2004.py`).\n", "\n", "The models: 16 `BeamC` elements and 16x1 `Quad4R`, Newton-Raphson in\n", "increments of $0.05 M_{max}$ (`BeamC`) and $0.025 M_{max}$ (`Quad4R`;\n", "with 0.05, Newton-Raphson cuts back three increments and misses the levels\n", "of Table 3a). The moment is applied with `add_moment()` for the\n", "co-rotational models, conjugate to the rotation vector, which is here the\n", "moment about the fixed axis $-Y$, since $\\boldsymbol{\\Lambda}^T\n", "\\boldsymbol{n} = \\boldsymbol{n}$ for $\\boldsymbol{\\psi} \\parallel\n", "\\boldsymbol{n}$; for the von Kármán model it is the constant nodal moment\n", "of `fext`. The out-of-plane rotations $\\psi_X$ and $\\psi_Z$ are restrained\n", "at all the nodes, exact for this plane problem.\n", "\n", "With 16 elements of equal length and no axial or shear force, the discrete\n", "solution is the polygon of 16 equal chords inscribed in the exact circle\n", "(`polygon_tip()`, derived in `tests/test_corotational_benchmarks.py`),\n", "which differs from the exact circle by at most $0.0011 L$; the S4R columns\n", "of Table 3a, also 16x1, lie on that polygon within 0.0005.\n", "\n", "**Tolerances**, those of the tests: `'corotational'` on the polygon within\n", "$10^{-7} L$ and within 0.001 of the S4R columns of Table 3a; the von Kármán\n", "paths on the von Kármán solution, $W/L = \\varphi/2$ and\n", "$U/L = -\\varphi^2/6$ (`von_karman_tip()`), to $10^{-6}$ in $W$ and 0.2 % in\n", "$U$, the tolerances of `test_cantilever_end_moment_quad4r`." ] }, { "cell_type": "code", "execution_count": 3, "id": "78f81d34", "metadata": { "execution": { "iopub.execute_input": "2026-10-30T23:37:29.211335Z", "iopub.status.busy": "2026-10-30T23:37:29.211153Z", "iopub.status.idle": "2026-10-30T23:37:31.672263Z", "shell.execute_reply": "2026-10-30T23:37:31.671299Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "polygon of 16 chords against the exact circle: largest |difference| 0.00078 L, 0.00111 L\n", "BeamC von_karman 0.0 s; at M_max -U/L 6.57974, W/L 3.14159, tip rotation -2.000000 pi\n", " largest |W/L - von Kármán| 7.3e-12, |U/U_vk - 1| 4.5e-12\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "BeamC corotational 0.2 s; at M_max -U/L 1.00000, W/L -0.00000, tip rotation -2.000000 pi\n", " largest |difference| from the polygon 7.8e-16, 9.7e-16; from the exact circle 7.8e-04, 1.1e-03; from the S4R columns of Table 3a 0.0005, 0.0005\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "BeamC corotational_von_karman 0.4 s; at M_max -U/L 1.00000, W/L 0.00000, tip rotation -2.000000 pi\n", " largest |difference| from the polygon 7.8e-04, 1.1e-03; from the exact circle 9.8e-07, 8.9e-07; from the S4R columns of Table 3a 0.0095, 0.0137\n", "Quad4R von_karman 0.1 s; at M_max -U/L 6.57331, W/L 3.14159, tip rotation -2.000000 pi\n", " largest |W/L - von Kármán| 6.0e-10, |U/U_vk - 1| 9.8e-04\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Quad4R corotational 0.6 s; at M_max -U/L 1.00000, W/L -0.00000, tip rotation -2.000000 pi\n", " largest |difference| from the polygon 3.3e-15, 4.2e-15; from the exact circle 7.8e-04, 1.1e-03; from the S4R columns of Table 3a 0.0005, 0.0005\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Quad4R corotational_von_karman 1.1 s; at M_max -U/L 1.00000, W/L -0.00000, tip rotation -2.000000 pi\n", " largest |difference| from the polygon 3.8e-15, 3.7e-15; from the exact circle 7.8e-04, 1.1e-03; from the S4R columns of Table 3a 0.0005, 0.0005\n" ] } ], "source": [ "def run_end_moment(element, kinematics, inc, num_elements=16):\n", " L, b, h, E = (CANTILEVER[k] for k in ('L', 'b', 'h', 'E'))\n", " Mmax = 2*np.pi*E*b*h**3/12/L\n", " model, bu, tip = cantilever(element, num_elements, L, b, h, E,\n", " kinematics=kinematics)\n", " for n in tip:\n", " if kinematics == 'von_karman':\n", " model.fext[DOF*n + 4] = -Mmax/len(tip)\n", " else:\n", " model.add_moment(n, [0., -Mmax/len(tip), 0.])\n", " # NOTE plane problem: out-of-plane rotations restrained\n", " bu[3::DOF] = False\n", " bu[5::DOF] = False\n", " m, cs, t = analysis(model, bu, inc)\n", " U, W = tip_deflections(cs, tip)\n", " return dict(m=m, U=U/L, W=W/L, cs=cs, model=model, tip=tip, t=t)\n", "\n", "\n", "L = CANTILEVER['L']\n", "mt = TABLE_3A_EXACT[:, 0]\n", "U_ex, W_ex = elastica_tip(mt)\n", "U_pol, W_pol = polygon_tip(mt, 16)\n", "U_vk, W_vk = von_karman_tip(mt)\n", "print('polygon of 16 chords against the exact circle: largest |difference| %.5f L, %.5f L'\n", " % (np.abs(U_pol - U_ex).max(), np.abs(W_pol - W_ex).max()))\n", "moment = {}\n", "for element, inc in [('BeamC', 0.05), ('Quad4R', 0.025)]:\n", " for kin in KINEMATICS:\n", " r = run_end_moment(element, kin, inc)\n", " moment[element, kin] = r\n", " idx = at_levels(r['m'], mt)\n", " U, W = r['U'][idx], r['W'][idx]\n", " rot = np.mean([r['cs'][-1][DOF*n + 4] for n in r['tip']])\n", " assert np.isclose(r['m'][-1], 1.)\n", " print('%-7s %-24s %.1f s; at M_max -U/L %.5f, W/L %.5f, tip rotation %.6f pi'\n", " % (element, kin, r['t'], r['U'][-1], r['W'][-1], rot/np.pi))\n", " if kin == 'von_karman':\n", " print(' largest |W/L - von Kármán| %.1e, |U/U_vk - 1| %.1e'\n", " % (np.abs(W - W_vk).max(), np.abs(U/U_vk - 1).max()))\n", " np.testing.assert_allclose(W, W_vk, rtol=1e-6)\n", " np.testing.assert_allclose(U, U_vk, rtol=2e-3)\n", " else:\n", " print(' largest |difference| from the polygon %.1e, %.1e; from the exact '\n", " 'circle %.1e, %.1e; from the S4R columns of Table 3a %.4f, %.4f'\n", " % (np.abs(U - U_pol).max(), np.abs(W - W_pol).max(),\n", " np.abs(U - U_ex).max(), np.abs(W - W_ex).max(),\n", " np.abs(L*U - TABLE_3A_S4R[:, 1]).max(),\n", " np.abs(L*W - TABLE_3A_S4R[:, 2]).max()))\n", " assert np.isclose(rot, -2*np.pi, rtol=1e-8)\n", " if element == 'BeamC' and kin == 'corotational_von_karman':\n", " # NOTE on the exact circle, see the text below\n", " np.testing.assert_allclose(U, U_ex, rtol=0, atol=2e-6)\n", " np.testing.assert_allclose(W, W_ex, rtol=0, atol=2e-6)\n", " else:\n", " np.testing.assert_allclose(U, U_pol, rtol=0, atol=1e-7)\n", " np.testing.assert_allclose(W, W_pol, rtol=0, atol=1e-7)\n", " np.testing.assert_allclose(L*U, TABLE_3A_S4R[:, 1], rtol=0, atol=0.001)\n", " np.testing.assert_allclose(L*W, TABLE_3A_S4R[:, 2], rtol=0, atol=0.001)" ] }, { "cell_type": "markdown", "id": "5085507c", "metadata": {}, "source": [ "Both elements with `'corotational'` lie on the polygon of 16 chords to\n", "round-off at the 20 levels, and their tips turn by exactly $2 \\pi$ at\n", "$M_{max}$, back at the root: the full circle. The von Kármán models follow\n", "the von Kármán solution, which agrees with the exact one only for small\n", "rotations, and end at $W = \\pi L$, $-U = 6.6 L$, far from the root.\n", "\n", "`BeamC` with `'corotational_von_karman'` does better than the polygon: its\n", "tip lies on the exact circle within $10^{-6} L$, because the averaged\n", "von Kármán axial strain in the CR frame accounts for the arc of each\n", "element against its chord. Measured separately on 2026-10-30, its largest\n", "distance from the exact tip over the 20 levels is $5 \\times 10^{-3} L$,\n", "$2.7 \\times 10^{-4} L$ and $1.0 \\times 10^{-6} L$ with 2, 4 and 16\n", "elements, decreasing about as $n^{-4}$. With `Quad4R` the two\n", "co-rotational kinematics coincide.\n", "\n", "The deformed cantilevers at four levels of Table 3a, without\n", "amplification, with the exact circles:" ] }, { "cell_type": "code", "execution_count": 4, "id": "dd4154e6", "metadata": { "execution": { "iopub.execute_input": "2026-10-30T23:37:31.674738Z", "iopub.status.busy": "2026-10-30T23:37:31.674548Z", "iopub.status.idle": "2026-10-30T23:37:31.962491Z", "shell.execute_reply": "2026-10-30T23:37:31.961784Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(11, 4.5))\n", "s = np.linspace(0, L, 200)\n", "for frac, color in [(0.25, 'C0'), (0.5, 'C1'), (0.75, 'C2'), (1.0, 'C3')]:\n", " radius = L/(2*np.pi*frac)\n", " axes[0].plot(radius*np.sin(s/radius), radius*(1 - np.cos(s/radius)), '-',\n", " color=color, lw=1, label='exact, M = %.2f Mmax' % frac)\n", " r = moment['BeamC', 'corotational']\n", " i = int(np.argmin(np.abs(r['m'] - frac)))\n", " x = r['model'].x.reshape(-1, 3)\n", " u = r['cs'][i].reshape(-1, DOF)\n", " axes[0].plot(x[:, 0] + u[:, 0], x[:, 2] + u[:, 2], 'o', color=color, ms=3,\n", " label='16 BeamC, corotational')\n", " r = moment['Quad4R', 'von_karman']\n", " i = int(np.argmin(np.abs(r['m'] - frac)))\n", " x = r['model'].x.reshape(-1, 3)\n", " u = r['cs'][i].reshape(-1, DOF)\n", " edge = np.isclose(x[:, 1], 0.)\n", " axes[0].plot(x[edge, 0] + u[edge, 0], x[edge, 2] + u[edge, 2], '--',\n", " color=color, lw=1, label='16x1 Quad4R, von_karman')\n", "axes[0].set_aspect('equal')\n", "axes[0].set_xlim(-70, 15)\n", "axes[0].set_xlabel('X')\n", "axes[0].set_ylabel('Z')\n", "axes[0].grid(True, alpha=0.3)\n", "axes[0].legend(fontsize=6, ncol=2, loc='upper left')\n", "mm = np.linspace(0, 1, 201)\n", "Uc, Wc = elastica_tip(mm)\n", "axes[1].plot(Uc, mm, 'k-', lw=1, label='-U/L, exact')\n", "axes[1].plot(Wc, mm, 'k-', lw=1, alpha=0.5, label='W/L, exact')\n", "for kin in KINEMATICS:\n", " r = moment['Quad4R', kin]\n", " axes[1].plot(np.r_[0, r['U']], np.r_[0, r['m']], STYLE[kin], lw=1.5,\n", " label='-U/L, 16x1 Quad4R, %s' % kin)\n", " axes[1].plot(np.r_[0, r['W']], np.r_[0, r['m']], STYLE[kin], lw=1.5,\n", " alpha=0.5, label='W/L, 16x1 Quad4R, %s' % kin)\n", "axes[1].plot(TABLE_3A_EXACT[:, 1]/L, mt, 'ks', mfc='none', ms=4, label='Table 3a')\n", "axes[1].plot(TABLE_3A_EXACT[:, 2]/L, mt, 'ko', mfc='none', ms=4)\n", "axes[1].set_xlim(0, 1.6)\n", "axes[1].set_xlabel('tip displacement / L')\n", "axes[1].set_ylabel('$M/M_{max}$')\n", "axes[1].grid(True, alpha=0.3)\n", "axes[1].legend(fontsize=6, loc='lower right')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d7fa6aaa", "metadata": {}, "source": [ "3. Hinged cylindrical roof, 12.7 thick (Section 3.8)\n", "===\n", "\n", "Fig. 9a of [1]: cylindrical roof of radius $R = 2540$, length $2L$ with\n", "$L = 254$, opening $2\\theta$ with $\\theta = 0.1$ rad, thickness $h = 12.7$,\n", "$E = 3102.75$, $\\nu = 0.3$, straight edges hinged with all the translations\n", "restrained, curved edges free, central point load $P$ with\n", "$P_{max} = 3000$. One quarter is meshed with 8x8 `Quad4R` elements and\n", "their default stabilisation, and the snap-through is traced with\n", "Crisfield's arc-length method up to $1.2 P_{max}$, with increments of\n", "`initialInc = maxInc = 0.05`, for the three kinematics (`hinged_roof()`,\n", "`run_hinged_roof()` and `run_corotational_roof()` of the tests). Table 9a\n", "of [1] lists the path of 16x16 S4R elements.\n", "\n", "**Tolerances**, those of the tests, which follow the grades of [5], p. 14:\n", "the upper limit load within 2 % of Table 9a (grade A) and the lower one\n", "within 10 % (grade B), the 8x8 mesh being coarser than that of Table 9a;\n", "`'corotational'` and `'von_karman'` within 0.001 $P_{max}$ of each other up\n", "to the upper limit point, and within 0.03 $P_{max}$ along the whole path;\n", "`'corotational_von_karman'` on the path of `'corotational'` to\n", "$10^{-9} P_{max}$." ] }, { "cell_type": "code", "execution_count": 5, "id": "cd3223e1", "metadata": { "execution": { "iopub.execute_input": "2026-10-30T23:37:31.964947Z", "iopub.status.busy": "2026-10-30T23:37:31.964759Z", "iopub.status.idle": "2026-10-30T23:37:43.637410Z", "shell.execute_reply": "2026-10-30T23:37:43.636488Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "von_karman 83 increments, 2.5 s\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "corotational 82 increments, 3.0 s\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "corotational_von_karman 82 increments, 6.0 s\n", "von_karman upper limit 0.74293 (+0.11 %), lower limit 0.17183 (-0.62 %), at -W_C = 29.374: 1.0800\n", "corotational upper limit 0.74211 (+0.00 %), lower limit 0.17306 (+0.09 %), at -W_C = 29.374: 1.1003\n", "corotational_von_karman upper limit 0.74211 (+0.00 %), lower limit 0.17306 (+0.09 %), at -W_C = 29.374: 1.1003\n", "Table 9a: upper limit 0.7421, lower limit 0.1729, at -W_C = 29.374: 1.0835\n", "|corotational - von_karman| at the points of Table 9a: 0.0009 up to the upper limit point, 0.0203 along the path\n", "corotational_von_karman - corotational: 6.6e-15 in P/P_max\n" ] }, { "data": { "image/png": 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NjcXNzU2KCSORNjUCRYEpfpBwkWFmn/BHuj+/vu5Pa89SqkW6U3ckJyfj4ODwyH0L9J/Xf/zxB2+99RZ//PHHUxdn4tFatGjBtWvX1I7xUH5+foW+OBNCCPEc4k5DwkX0ZpasSa+JraWWRlWc1U71xEymQEtLS+P8+fOGx5cuXeLw4cM4OTlRoUIFhg0bxrVr1/j999+B28VZv379mDRpEg0bNuTGjRsA2NjYULx4cVXegyicBg4caJhn7m579uzBxsZGhURCCCEe568Dk0lyKEY1M2/S021oW6k4VuZmj3+hiTCZAi0yMtJwRyJgGCv2+uuvM2/ePGJiYoiOjjY8P3PmTHJzcxk0aBCDBg0ybL+zvxDGMmPGDLUjCCGEeErzY/dwytmJhomuADSv6qhuoKdkMgVaixYtHjklwH+Lrjsz2AshhBBC3E1JjKZTYjw2drZExrXA0lxLQKWCdXXNZAo0IYQQQghj0JxZz+spqbShKo3zStOyhjN2lgXn8iZIgSaEEEKIwub0OgAyq3SgvWsp2nmpN7XGs5J7dwuIjRs34u/vT506dfD29mb+/PlP9LoJEybg7e2Nr68vDRs25MCBAw/dd926ddSrV48aNWrg7u5O//79SUxMNNZbMNBoNKSlpd2zbeTIkWg0mnsWY2/RogWVK1fG19eXGjVqMGTIEJOYVTspKYnx48c/8f7ffvutYSJkgBEjRtyzALqx/XdReyGEKEqSk66w52YkOUDVZr2Y0defbr5l1Y711KRAKwAUReG1115j7ty5HDp0iHXr1vHuu+8+dkbiI0eOMGXKFPbu3cvhw4f54IMP7rmh4m7h4eG8++67zJo1izNnznDu3DlsbW1p3759vhdFUVFR7N27lwoVKtz33OTJkzl8+DCRkZGsXbuWFStW5GuWOx41A//TFmgjR468p0AbNWqUYXJcIYQQxrXl4DQGlHLlnQruUKKS2nGemRRoj6MooEvP3/+ecK7gpKQk4PZEd87OzlhZWREbG0ulSpUM00CsWLGCOnXqkJWVBdxeIig9Pd3w+nLlyj3w2KNHjyYkJIQ6deoAt2dU//HHH7l27RqbNm0C7u+ZqVu3ruFmjYkTJ1KvXj38/Pxo1KgR+/btM+wXFhaGh4cHAQEBhIaG3nPe7OxsBg0axLRp0x45Eau9vT3+/v5cuXLlidrqr7/+ol69etSuXRtfX19DnvDwcPz8/PDx8aF58+acPHkSuH3Tia+vL4MHDyYgIIBVq1YRGRlJQEAAPj4+1K9fn127dgG3p91ISkrC19eXunXr3vP+69SpQ/369Q3nGzhwIACNGjXC19eX2NhY3njjDcNyWGlpabz11lt4e3vj7e19z1JkLVq04IsvvqBly5ZUrVrVcCyAxYsX06BBA+rUqYOvry/r169/onYRQojCLivmEE55ebhbVuFiXNrjX2CiZAza4+RkwNgy+XuOr66Dpd1Dn9ZoNCxbtoygoCDs7OxITEwkLCwMS0tL3NzcWLBgAb1792bJkiUMGTKEf/75B2tra2rXrs3QoUNxd3fHyckJKysrtm/f/sBzREVFGdaMvMPS0hJ/f3+OHDlC+/btH/kW+vbty9ChQ1EUhV27dvH2229z/PhxYmNjeeedd9i9ezc1atS4r+dpxIgR9OnTx7Bg+sPExMRw5MgRvv3220fuB3D27Fn69+/P9u3bqV69Ojk5OWRkZBAbG0ufPn3YsmULtWrVYtGiRbz88suGovPo0aNMnTqVyZMno9PpqFq1KrNnzyYwMJCdO3fSo0cPzp8/z4wZM6hbty6HDx++7/0D7N27l/79+3P8+HFmzJjBzJkz2b17N8WKFbsva2hoKDqdjqNHj5KZmUmTJk2oWbMmPXv2BODixYts3rwZvV6Pl5cXe/bsISAggMDAQF599VU0Gg2XL1+mUaNGXLlyRdaPFEIUbbp0Xrl8hJ65WXTMGcjc49vYO6w1bvaWaid7atKDVgDk5uYybtw4Vq9ezZUrV/j77795/fXXSUhIAKBp06b079+fgIAAxo8fT7Vq1QC4cuUKa9as4cKFC1y9epUhQ4bQu3fvh57nQT1YiqI80WSshw4donnz5tSqVYtBgwZx8uRJdDode/fuxc/Pjxo1agAwYMAAw2v27NnDgQMHeP/99x963MGDB+Pt7U2FChXo0KEDnp6ej80SERFBx44dqV69OnB7zcXixYuzb98+fH19qVWrFnB7QfWrV68SExMDQPXq1WnSpAkAZ86cwdLSksDAQACaNGmCm5sbR48efeT79/b2ZuDAgYb3/zibN29m4MCBaLVa7Ozs6NevH5s3bzY836tXL8zMzLCxscHX15cLFy4Atydy7tChA97e3nTr1o34+Pgn7l0UQohC6/zfkJtFpk1ZzuRVplbZ4pQqXjCXbZMetMexsL3dw5Xf53iEw4cPc/36dRo3bgxAvXr1KFOmDEeOHDFM7nvo0CFcXV3vmcx3+fLleHt7U7p0aQDefPNNBg8eTF5eHmZm995u7Ofnx+7du/H19TVs0+l0REVFMWLECOD2Zc+8vDzD83cuo+p0OoKDg9m6dSt+fn4kJCTg4uKCTqd75Nx227Zt4/Tp04bes6tXrxIYGHjP+p+TJ0+mc+fOHD16lKZNm9KuXbunWhv0boqiPLAIvbPt7h6ux+17t7vfv7+/v2GtNZ1Oh6Xlo/9qe9B57n5893qQZmZmhrFxr7zyChMmTDCsV+vk5GT4egghRFGVcupPHICd5g0BDYFeJdWO9MykB+1xNJrblx/z87/HLIJdvnx5rl69ypkzZwA4f/48Fy5cMPQQTZ06lcTERI4cOcKMGTMMY6UqV67Mzp07DXdMrl27Fk9Pz/uKM4CvvvqK0aNHGy7b5ebm8sknn9CiRQvDOKsqVaoYxlbt37/fkCcrK4ucnBzKly8PwC+//GI4bkBAAIcOHeLs2bMA96yf+eWXX3L9+nUuX77M5cuXKVeuHBs3bnxgAebj40NoaChfffWVoehr3bo1+/fvv2/fwMBANmzYYDhnTk4OycnJBAQEcPjwYU6dOgXAkiVLKFeuHKVK3b9wroeHB9nZ2fzzzz8A7N69m9jYWGrVqoWDgwMZGRmGYum/7/+/l4rt7e1JTk6+7xwAbdu2Zfbs2SiKQnp6OgsXLqRNmzYP3PduiYmJVKpUCYCFCxfmy922QghRkORkp9M+ZT+vlinJnJQqAAR6qbcw+vOSHrQCoGTJksycOZMePXqg1WpRFIVp06ZRtmxZoqKimDBhAvv27TOMR+vTpw8HDhyge/fuHDhwgLp162JlZYW9vT0LFy584Dk6duzIjBkzePvtt0lJSSEmJoaXXnrJsPYpwJgxY3j99df59ddf8fPzw8vLCwAHBwdGjRpF/fr1qVChwj0L17u5uTFr1iy6dOmCs7MzPXr0eOZ2eO+995g6dSphYWF069aNI0eOPPCmh6pVq/Lrr7/y6quvkpOTg5mZGTNnzqR+/fqG8Xp5eXk4OjqybNmyB57L0tKSlStXMnjwYNLT07G2tmb58uXY2dlhZ2dH7969qVWrFnZ2dkRGRt7z/rt27XrPsT755BNatWqFjY2N4YaLO4YPH86HH35ouOzas2fPJ2qjSZMm0b17d8qWLUtAQMAD74AVQoii5MSJxaRpIMbckivZ3lR2saOq2/1jfwsKjfKoa1CF3J1LUYmJiTg6OgK3e0MuXbqEu7v7PZeXipqtW7fSu3fvey43PglFUcjNzcXc3PyRd2U+r6ioKKZNm3ZPj1xh9KLasyh5VJvK9/+z0ev1xMbG4ubmhlYrF2aMQdr0Gaz+gPgji1hdoiWh1/rzXosqfNHeAzCd9rxTdyQnJ+Pg4PDIfaUHTTxQixYtuHbtmtoxHsrPz6/QF2dCCCGeUF4unP4LF72eA4lNgYJ9eROkQBNCCCFEQXdlJ2QmgI0TP3/8PrsuJuFTtmAtjv5fUqAJIYQQokD7+cCP3HR1pm+pptS0sqK1Z8G9e/MOKdCEEEIIUWDp83JZnX6J+GJ2dCxfV+04RiMjD4UQQghRcP27j4k3b9IvNYvRO6oxZ8dFtRMZhRRoQgghhCiwtKfWUidbR+u8OpyJy+NCAV5/825SoAkhhBCiYFIUOLUWgIXJtQHoWKu0momMRgo0IYQQQhRIZ8+sZpYmhQvW9vyVURNHWwsaVnZWO5ZRSIH2hDJyMsjIybhnbcmcvBwycjLQ5ekeuK9e0f9vX/3tfbPzsp/p/Bs3bsTf3586derg7e3N/Pnzn+h1EyZMwNvbG19fXxo2bMiBAwceuu+6deuoV68eNWrUwN3dnf79++fLEkIajcaw/NQdI0eORKPRcPz4ccO2Fi1aULlyZXx9falRowZDhgxBr9f/93AvXFJSEuPHj3/i/b/99tt7Fk4fMWIES5cuzY9oAFSqVOmedlTL1q1bDcuECSFEflh34nemODnynXN5srGkXc2SWJgVjtKmcLyLF6DB4gY0WNyAxOz/FSxzT8ylweIGjN039p59WyxrQYPFDYhJjzFsW3J6CQ0WN2DErhFPfW5FUXjttdeYO3cuhw4dYt26dbz77rukpqY+8nVHjhxhypQp7N27l8OHD/PBBx8waNCgB+4bHh7Ou+++y6xZszhz5gznzp3D1taW9u3b53tRFBUVxd69ex+4XNHkyZM5fPgwkZGRrF27lhUrVuRrljvurLP5IE9boI0cOfKeAm3UqFH06tXrufIVFY/6OgghijhFwefmBZpkZJKT7ANAh0JyeROkQCtQkpKSgNtLRTg7O2NlZUVsbCyVKlVi7969AKxYsYI6deqQlZUF3F4oPD093fD6B61dCTB69GhCQkKoU6cOAObm5vz4449cu3bNsH7kf3tm6taty9atWwGYOHEi9erVw8/Pj0aNGhkWVQcICwvDw8ODgIAAQkND7zlvdnY2gwYNYtq0aY9cysje3h5/f3+uXLnyRG31119/Ua9ePWrXro2vr68hT3h4OH5+fvj4+NC8eXNOnjwJ3O7t8fX1ZfDgwQQEBLBq1SoiIyMJCAjAx8eH+vXrGxahHzhwIElJSfj6+hp6iO68/zp16lC/fn3D+QYOHAhAo0aN8PX1JTY2ljfeeIOpU6cCkJaWxltvvYW3tzfe3t6MHDnS8B5atGjBF198QcuWLalatarhWACLFy+mQYMG1KlTB19fX9avX/9E7QLQpk0bVq5caXi8ZcsW/Pz8ALh58ybdu3enVq1aeHt7M2vWLMN+lSpVYuTIkTRq1Ah3d3dGjx79xOdMTk6mbdu2hq9/nz59qFu3Lj4+PnTu3JnY2FjgwV+HSpUqMWLECBo1akSFChVYuHAhkyZNon79+lSpUsXwGczNzSUwMJC6devi5eVF7969ycjIAGDevHkEBgby6quv4uPjQ8OGDbl4sXDc6SVEkXXjGG1iL/NLfAr749vhYG1O4youaqcyHqUIS05OVgAlMTHRsC0zM1M5efKkkpmZec++6bp0JV2Xruj1esM2Xa5OSdelK9m52Q/cN0+f9799827vm5Wb9UxZN2/erDg7OysVKlRQ7O3tlYiICMNz27dvVypXrqzs379fKVeunHL27FnDcz/88INiY2OjlC1bVqlcubJy9erVBx7fxsZGiYqKum97165dle+++05RFEWpWLGicuzYMcNz/v7+ypYtWxRFUZTY2FhFURRFr9crO3bsULy8vBRFUZSbN28qTk5OyunTpxVFUZTvv/9eAZTU1FRFURTl888/V6ZOnfrA4zdv3lxZu3atoiiKcv36daVGjRrKyZMnH9tWZ86cUUqWLKmcOXNGURRF0el0SlJSknLz5k3F2dlZOXr0qKIoirJw4UJDzi1btigajUbZsWOHoiiKkp2drZQvX14JDw9XFEVRduzYoZQqVUpJS0tTLl26pDg7O99zzjvvX1EUZc+ePYbjKopyz/tVFEV5/fXXlSlTphjef+/evZW8vDwlLS1N8fX1VZYtW2Z4/8HBwUpmZqaSnp6uVKpUSdm9e7eiKIoSHx9v+CxeunRJKV26tKLT6R7Yjv+1aNEipVOnTobH/fr1UyZPnqwoiqK8/PLLypdffqkoyu2vXbly5ZR9+/YZjvvxxx8b3q+Dg8NDP0932tTf31+5cuWK4ufnpyxYsMDwXFxcnOHf48aNUwYNGmR4zd1fhzvn/fTTTxVFUZT9+/crNjY2yi+//KIoiqIsXbpUCQgIUBTl9mcvPj7e8O+BAwcqP/zwg6IoijJ37lylePHiyuXLlxW9Xq98+umnyjvvvHNf5od9/4tHy8vLU2JiYpS8vLzH7yyeiLTpE/g7VFG+cVBS5vZUPll2WPl2zfGH7moq7Xmn7khOTn7svtKD9oRsLWyxtbC9p5fHwswCWwtbLM0sH7ivVvO/5rXQ3t7Xyszqqc+dm5vLuHHjWL16NVeuXOHvv//m9ddfJyEhAYCmTZvSv39/AgICGD9+PNWqVQPgypUrrFmzhgsXLnD16lWGDBlC7969H3qeB/VgKYqCjY3NYzMeOnSI5s2bU6tWLQYNGsTJkyfR6XTs3bsXPz8/atSoAcCAAQMMr9mzZw8HDhzg/ffff+hxBw8ejLe3NxUqVKBDhw54eno+NktERAQdO3akevXqAFhYWFC8eHH27duHr68vtWrVAqB3795cvXqVmJjbl6KrV69OkyZNADhz5gyWlpYEBgYC0KRJE9zc3Dh69Ogj37+3tzcDBw40vP/H2bx5MwMHDkSr1WJnZ0e/fv3YvHmz4flevXphZmaGjY0Nvr6+XLhwAYBLly7RoUMHvL296datG/Hx8U/cuxgUFMTevXu5ceMGqamprF27ltdee82Q585lcDc3N4KCgvj7778Nr73z+XF1daVy5cpcunTpkeeKiYmhefPm/Pjjj/Tp08ewfdGiRdStW5datWoxZ84cDh8+bHju7q/D3e0At9dgzczM5OWXXwbA39/f0BOmKAo//fQTderUwcfHh7/++uue4zZp0oSKFSsCSA+aEIXA9jOryNBosPfrwYSetfmmi5fakYxKCrQC4PDhw1y/fp3GjRsDUK9ePcqUKcORI0cM+xw6dAhXV1eio6MN25YvX463tzelS9++Jv/mm2+yfft28vLy7juHn58fu3fvvmebTqcjKiqKRo0aAbcve9792juXUXU6HcHBwUycOJFjx47xzz//oCgKOp3unpsq/mvbtm2cPn0ad3d3KlWqxNWrVwkMDGTDhg2GfSZPnszx48c5ePAgv/322z3PPS1FUR5YhN7ZVqxYsSfe9253v//jx4+zfft2w/t/lkx3P7a2tjb828zMzDAm65VXXmHgwIEcP36cw4cPU6xYMcPX43Gsra3p0aMHCxcuZNmyZbRp0wZn5//d9fQseR6mRIkS1KxZk3Xr1hm27dy5k6lTp7JhwwaOHTvGxIkT78l+99fhv+c1MzO77/GdDIsXL2bbtm1s376dY8eO8emnn95z3KfNLoQwXRcvbqbPyTjc5mZjF/AG/v7+hIWFqR3LqKRAKwDKly/P1atXOXPmDADnz5/nwoULhh6iqVOnkpiYyJEjR5gxY4ZhrFTlypXZuXOn4Y7JtWvX4unpafgld7evvvqK0aNHG3occnNz+eSTT2jRooVhnFWVKlUMY6v2799vyJOVlUVOTg7ly5cH4JdffjEcNyAggEOHDnH27FkA5syZY3juyy+/5Pr161y+fJnLly9Trlw5Nm7cSIcOHe7L5+PjQ2hoKF999ZWh6GvdujX79++/b987Rd6dc+bk5JCcnExAQACHDx/m1KlTACxZsoRy5cpRqlSp+47h4eFBdnY2//zzDwC7d+8mNjaWWrVq4eDgQEZGhuEX/H/f/5QpU+45lr29PcnJyfedA6Bt27bMnj0bRVFIT09n4cKFtGnT5oH73i0xMZFKlSoBsHDhwqe+2/att95i3rx5zJ07lzfffNOwvU2bNoZxZ3FxcaxatYpWrVo91bHvZm1tzZ9//smVK1cYOHAger2exMREHBwccHJyQqfTMXPmzGc+/t0SExNxdnbG3t6e1NRU5s2bZ5TjCiFMz9K5k/h36r84FrPk/U9CcHFxITg4uFAVaVKgFQAlS5Zk5syZ9OjRg9q1axMUFMS0adMoW7YsUVFRTJgwgUWLFuHm5saCBQvo06cP8fHxdO/enU6dOlG3bl1q167N1KlTWbhw4QPP0bFjR2bMmMHbb79N9erVKVGiBImJifz++++GfcaMGcOkSZNo0KABc+fOxcvrdneyg4MDo0aNon79+jRv3hwrq/9dxnVzc2PWrFl06dKFRo0aodU++0fuvffeIz09nbCwMPLy8jhy5MgDb3qoWrUqv/76q2FAeP369Tlz5gyurq4sWLCA3r17U7t2baZPn86yZcseeC5LS0tWrlxJSEgIPj4+fPzxxyxfvhw7OzucnJzo3bs3tWrVom7duve8/2bNmt3z/gE++eQTWrVqZbhJ4G7Dhw9Ho9FQq1YtGjRoQNeuXenRo8dj22LSpEl0796dJk2acOTIkQfeAfso9evXB25fKm3Xrp1h++TJkzl69Cg+Pj60bNmSkJAQw77PysLCgiVLlpCdnU2/fv3o0KEDVatWxcPDg8DAQHx9fZ/r+Hf069ePtLQ0atasSVBQEE2bNjXKcYUQpmfF/C20q2LGW6+8w3KdL5//PJ+2bdsyduzYx7+4gNAoj7oGVcilpKRQvHhxEhMTcXR0BG73hly6dAl3d/d7LokUNVu3bqV3797MmTPngT1aD6MoCrm5uZibmz/yrsznFRUVxbRp0+7pkSuMXlR7FiWPalP5/n82er2e2NhY3NzcnuuPMPE/0qaPcOsCdqWrMqqlDQvq/IbO0pGo4W2ZNmUSw4cPN8xccDdTac87dUdycjIODg6P3Nf8BWUSBUyLFi24du2a2jEeys/Pr9AXZ0IIIe6XfHQJHi5aVl+2JdG3GF083LAy1xIeHv5EN5IVFFKgCVFIde3a9Z6bRuD2oP0tW7YUyPMIIQTAW5eXoXmpFDtmXMd62Qiy9V0JnPclERERhWoMmhRoQhRSa9asKVTnEUKI2H/3cpk89A1KUCG2O7F7NrF42g94enoSFhZG9+7d1Y5oNFKgCSGEEKJAcLu4nW3RV9nk7MvQah14M+hNpvX2VztWvpCRh0IIIYQoGI6HUUxRuJrdEoAO3oVn7c3/kh40IYQQQpi+2FMQdwq0Frw/cDB1Y/KoXd5R7VT5RnrQCgBfX198fX2pWbMm5ubmhsd3lr/5r3nz5j10Lq1HPfcoBw4coHHjxvj4+ODr62uYwPV5DB48mEqVKqHRaO5ZhB1uT4Xw7bffUr16dby9vWnRosUTHbNHjx6UKVMGjUZjmKD3juzsbD744AOqVauGl5fXPUsP3S0nJ4fBgwfj5eVF7dq1qVmzJhMnTrwvX+vWrXFxuXdhXo1Gg4+Pj+F1c+fOfaLcQgghHm3O7jF86ObCgcoNMbcrQaOqLthZFd5+psL7zlQQFhbGmDFjOH36NB4eHoSEhBAUFPTcx70zu//ly5epW7fuPesLvgiKotC9e3cWLFhAy5YtOX36NG3btuXs2bNPtE7nw/To0YPPP//8vnUX4faEqceOHeP48eNYWloa1st8nIEDBzJt2jRKlix533NffvklWq2Ws2fPotFoHnrMyZMnc+PGDY4cOYK5uTlZWVmGNTDvmDp1KpUqVbpnua07du/eTbFixTh27Bh169alffv2huW2hBBCPD1Fr2dtwlEu2tnSpkxtteO8ENKDZiRhYWEEBwfj4uJCaGhovi87kZubS2BgIHXr1sXLy4vevXuTkZFheD45OZng4GB8fX1p3rz5fdMg3LFgwQIaNGiAn58fzZs3v68nC+DWrVskJCTQsuXta/4eHh44Ojoa1sWcOHEi9erVo06dOjRo0OCByy89SLNmzR64EgDADz/8wPfff4+l5e2F6O8UOJmZmdSuXZsVK1YAtxdcd3d3Jz4+Hri9VJGbm9t9x0tPT2fu3LmMHTvWMDnpw4qm6OhoSpUqhbn57b9frK2tDasmAJw7d44lS5bw5ZdfPvL91apVC0dHR65evfrI/YQQQjxG7EkmxFxnQHIaP+315cdNZ9ROlO+kQDOSMWPG0K5dO8LDwxk6dCjh4eH5uuyEmZkZixcvJjIykuPHj+Pg4MC0adMMz+/cuZOxY8dy+PBhOnXqxMCBA+87xq5du1iyZAnbt28nKiqK0aNH07t37/v2c3FxoWTJkqxcuRKAffv2cfbsWS5fvgxA3759OXDgAIcOHWLSpEkMGDDgud5bSkqKYR3Ihg0b0rBhQ5YuXQqAjY0Ny5cvZ8iQIRw4cIA+ffqwYMGC+y41/teFCxdwdnZm9OjR1K1bl6ZNm/L3338/cN8BAwawatUqvLy8eOedd1iyZIlhkXi9Xs8777zDL7/8goWFxSPPuW3bNlxcXKhdu2j8tSeEEPlFc/JPquXk0E7vzeUUW67cynj8iwo4ucRpJKdPnyY0NNTQO6PRaGjfvj3Dhw/Pl/MpisJPP/3EX3/9RW5uLsnJyTRr1szwfJMmTahRowZwu+D45ptv+O+qXqtXr+bIkSM0aNDAsC0uLg6dTmfoubp73y+++IIxY8ZQq1YtmjRpYihQDh06xJgxY7h16xbm5uacOnUKnU5335qUTyonJwedTkdmZiZ79+4lOjqagIAAvLy88Pb2pnr16nz//fcEBAQQGhr6wEukDzrmxYsXqVmzJt999x1HjhyhTZs2nDx5EldX13v29fLy4sKFC+zcuZPdu3fzzTffsGDBAv766y8mTJhAs2bN8PX1NRSo/9WoUSMyMjK4dOkSy5cvv68thRBCPAVFgROrAFiYentKjc4+hX/YiBRoRuLh4cHGjRsZMmQIGo0GRVHyddmJxYsXs23bNrZv3469vT2TJ09m+/btT3UMRVF46623GDVq1GP39fHxMVzSBPD09KRmzZrodDqCg4PZunUr/v7+JCcn4+jo+FwFmrOzM8WKFTMM4q9QoQKNGzcmMjISb29v4PZanK6urg+9dPtfFStWRKvVGnoIa9eujbu7OydOnHjgDQiWlpa0atWKVq1a8fbbb1O6dGkSEhLYvn07R48e5ffffyc3N5fExEQqVarEoUOHKFGiBPC/MWjz5s3jzTffpHHjxg8cEyeEEOLxzp/fwBp9PIHWdoQleWNvZU7zGq6Pf2EBJ5c4jSQkJIRNmzYRGBjIxIkTCQwMJCIigpCQkHw5X2JiIs7Oztjb25Oamsq8efPueX7Xrl2cPXsWgDlz5tCqVav7Fobu0qULv//+O//++y9w+/JdZGTkA89348YNw79nz56NnZ0drVq1Iisri5ycHMqXLw/AlClT7nldv379WLVq1VO/v1dffZXw8HDDe92/fz8+Pj4ArFu3jo0bN3LixAn27t1ruPz5KC4uLrRu3ZqNGzcCcOXKFS5dumToZbzb9u3b77mB4ODBgzg5OeHo6Mi6deuIjo7m8uXL7Ny5kxIlSnD58mVDcXa3N954g9atW+fbZW4hhCgK/jr6G3MdHZjoXJ50bGjrVRIrczO1Y+U7KdCMJCgoiJUrV5KQkMDw4cNJSEjI12Un+vXrR1paGjVr1iQoKIimTZve83zz5s359ttv8fX1Ze3atfeMT7ujWbNmjB07lpdeeonatWvj7e390GJn5syZVK9enWrVqrF27VpWrVqFRqPBwcGBUaNGUb9+fZo1a3Zfr9nBgwcfeiPAoEGDKFeuHFevXqVNmzZUrVrV8NzYsWPZsGED3t7eNG3alGHDhuHn50d0dDTvv/8+S5cuxcnJiWXLlvHJJ59w7tw54Pa6kHfOV6NGjXt6x2bMmMH48eOpVasWL730ErNmzXrgjQLR0dF06tSJmjVr4uvry7hx41i9ejVa7dN/u3z//ffMnTvXpBeeF0IIk6Uo1LtxjsC0dPKSbv+R3qV2GZVDvRga5b8Dk4qQlJQUihcvTmJiIo6OjgBkZWVx6dIl3N3dsba2VjdgAaQoCrm5uZibm5OYmEivXr2IiIhQO1aBdXd7/rcHVDybR7WpfP8/G71eT2xsLG5ubs/0h4y4n7Tp/7t+CGa1IM/MGu/0aVjZ2nMgpA0WZk/XJqbSnnfqjuTkZBwcHB65r4xBE/nGyclJijMhhBDP7v9vDsis1IZexT2wtTR76uKsoJICTQghhBAmR9HrWXduFc20Wor79eTbu+ajLAqkQBNCCCGEyTl+aiVf2YG9TRm2VWnFo2eeLHyKRj/hM9Dr9WpHEEK8YEV4SK4QJifjQgQ1snXUURw5cE1Hnr5ofX+aTA/a9u3b+eGHHzh48CAxMTGsWrWKbt26PfI127ZtY+jQoZw4cYIyZcrw+eefP3DG/KdhaWmJVqvl+vXruLq6YmlpKYOzn4IMajcuaU/je1ibKopCXFwcGo3msatECCHymT6PBue2syL1BoN4lddm72P5wADqVXJSO9kLYzIFWnp6OrVr1+bNN98kODj4sftfunSJjh078s4777Bw4UJ27drF+++/j6ur6xO9/mG0Wi3u7u7ExMRw/fr1Zz5OUaUoCnq9Hq1WKwWFEUh7Gt+j2lSj0VCuXDnMzAr/HEtCmLQruyE1hhwLByJSfSnlYI1/hfvnmyzMTKZA69ChAx06dHji/WfMmEGFChX4+eefgdsz20dGRjJhwoTnKtDgdi9ahQoVyM3NNazBKJ6MXq/n1q1bODs7F+1bw41E2tP4HtWmFhYWUpwJYQKuHJ5PeeCAbVN0qRZ08imNVlu0/kg1mQLtae3Zs4d27drdsy0wMJBff/2VnJycB16iyM7OJjs72/A4JSUFuP0D+0FjzszMzOSH9VPS6/WYm5sbLhWL5yPtaXyPa1MZf/r09Hq9oWdSGEdRbtOc7DReS9qLdfkyuF2rBkDnWqWeqy1MpT2f5vwFtkC7cePGfesblixZktzcXOLj4x84Q/y4ceMYOXLkfdvvLBAunp9eryc5ORlFUaSgMAJpT+OTNjU+aVPjK8pt+u/pxbeLKY2WfRl+lHGwpJRlNrGxsc98TFNpz9TU1Cfet8AWaMB940fu3IH1sLE6w4YNY+jQoYbHKSkplC9fHldXV8NKAuL56PV6NBoNrq6uRe6HSn6Q9jQ+aVPjkzY1vqLcpiV3HGNr9FWWOHVgBOZ08S13X4fM0zKV9nyaFUoKbIFWqlSpexbwBoiNjcXc3BxnZ+cHvsbKyuq+tSLh9o0BRe0bID9pNBppUyOS9jQ+aVPjkzY1viLZptlpcGYDlsC+7DYAdKtT1ihtYArt+TTnLrAFWkBAAGvXrr1n26ZNm6hbt67cIi+EEEIUQLmn12GemwlOlZn6wVu8F5OKZ+lHr1lZWJlMWZ6Wlsbhw4c5fPgwcHsajcOHDxMdHQ3cvjzZr18/w/4DBw7kypUrDB06lFOnTvHbb7/x66+/8umnn6oRXwghhBDP6eMjk3irlBsnqrdCo9XiXba42pFUYzI9aJGRkbRs2dLw+M5Ysddff5158+YRExNjKNYA3N3dWb9+PUOGDOGXX36hTJkyTJ48+bmn2BBCCCHEi5eWFM0ufSq5NtaYV33yabcKK5Mp0Fq0aPHIZVbmzZt337bmzZsTFRWVj6mEEEII8SIUOxfB+n+vs6mEOz0X5vFhq4u806yy2rFUYzKXOIUQQghRhB1bQem8PHLSm5GSlYuNZdGeh9RketCEEEIIUUQlXyVs4zbG7MjmcPw0zJ3XkuczFhpWVDuZaqQHTQghhBCq+mT8WwQvy0Tr4EDxJn1xdXbhjd69CAsLUzuaaqRAE0IIIYSqflu0k2Lexaj9biAO9bvzy8KVtG3blrFjx6odTTVSoAkhhBBCNUrsabKuZxJQzZID8e2wszSjXc1StG/fnlOnTqkdTzVSoAkhhBBCNZrjK6npoiXjhJakXDcCvUphbaElPDwcT09PteOpRgo0IYQQQqhDUeDYckKaWrHrbDxWm8ehP7qOwMBAIiIiCAkJUTuhaqRAE0IIIYQqzpwKY15ePE18S7ByyUIcNNnM/nkcCQkJhIWF0b17d7Ujqkam2RBCCCGEKpYf+5WlziU4be7Cd716E9Srt9qRTIb0oAkhhBDixcvV4XvjLHWystBkN2bTiRvo9Q9fUaiokR40IYQQQrx45zbROTGO1laueCU3YM+tU7StWVLtVCZDetCEEEII8eIdXQLAVqsW6NHS1bcsGo1G5VCmQwo0IYQQQrxQyUlX2BK9hRxgyi1/ALr5llE3lImRS5xCCCGEeKE27ptIqJsTdXQunLxQAZ9yxansWkztWCZFCjQhhBBCvFDKtUhclDyKZVcDIKhOWZUTmR4p0IQQQgjx4ty6QK/o4wRptARkfYaFmYauvlKg/ZcUaEIIIYR4cY4uAyC9dBNcM6viV8IGJztLlUOZHinQhBBCCPFCKHo9l4//gTvg2LAvG3yakqHLVTuWSZK7OIUQQgjxQhw6voiuDgpvlSmNUqMjALaW0lf0IFKgCSGEEOKFOHPmT8wVhRJWpUjHWu04Jk0KNCGEEELkv5wsXr1wgL+jr3H9cnPqjd7MvwkZaqcyWVKgCSGEECL/nQ2HrGSsLV3Zm1mXsiVsKFfCRu1UJksKNCGEEELkO92RPwDYaNYcBS3BfuVkaadHkJF5QgghhMhXCQkX6JR9nKauzhy8VgeNBrrL5LSPJD1oQgghhMhX2w9MJU2r5YKVPRf0FWlS1YVSxeUmgUeRAk0IIYQQ+eqlK4f449oNqib5AhDsV07dQAWAXOIUQgghRP65eRLN9UN4ac35OzWQYlbmBHqVUjuVyZMCTQghhBD55/AiADTV27O6fXdOx6RgY2mmcijTJwWaEEIIIfJFTk4Gb0SvoomjA6/7vExZRxvKOsrUGk9CxqAJIYQQIl9sPzCFo5ZmLHMojmW1QLXjFChSoAkhhBAiXzS6HMW42HhaZFah/4KjnIpJUTtSgSEFmhBCCCGML/UmNuci6Jyewc5rndh2Ng4bCxl79qSkQBNCCCGE0YVNGYb/zGRsx6ax/bfxlEk6SiUXO7VjFRhSoAkhhBDCqFauWEFwyFwUe3NatmmG1saBPTO/IiwsTO1oBYYUaEIIIYQwquEjPqeYdzG0X1Tlim9/KvcdS6vWbRg7dqza0QoMKdCEEEIIYVSXL/5LuyrmtNK5kKYvQVffsnTq2IFTp06pHa3AkAJNCCGEEMajy8DTWUPa8VRirnYG4OW65QgPD8fT01PlcAWHTFQrhBBCCOM5tZaQJuYEL8ukVsQaKta4wRdvTyIiIkLGoD0F6UETQgghhNEsOPQLNWrbseLb3ljmZRK5cgYJCQmEhYXRvXt3teMVGNKDJoQQQgijuHp1L+M1iWjKlGRT4FAiv/FTO1KBJT1oQgghhDCKvJOr6ZCWToNcGzZeciI5I0ftSAWWFGhCCCGEeH56PRVPrGV83C1KXG3PN2tOcPhqktqpCiwp0IQQQgjx/C5tg+R/0Vk4sDrLjzLFrWlS1UXtVAWWFGhCCCGEeG5bD0whQatlu2UzsrGkR93ymGk1ascqsOQmASGEEEI8l8SECwzNOotSoSwlL3qh0UBP/3JqxyrQpEATQgghxHOJO7KQGjod2VobonS1aVLVhfJOtmrHKtDkEqcQQgghnp2iUP34Wv64fpM6N1sD8HK98iqHKvikQBNCCCHEs7uyG26dQ7Gw5WbZbrgUs6RdzZJqpyrwTKpAmzZtGu7u7lhbW+Pv78+OHTseuf+iRYuoXbs2tra2lC5dmjfffJNbt269oLRCCCGEOLF/KrmAplZPpr7RjJ1ftMLawkztWAWeyRRoS5cu5eOPPyYkJIRDhw7RtGlTOnToQHR09AP337lzJ/369aN///6cOHGC5cuXc+DAAd5+++0XnFwIIYQompISL9Ev4xiB5csQ7317GScpzozDZG4SmDhxIv379zcUWD///DMbN25k+vTpjBs37r799+7dS6VKlRg8eDAA7u7uvPvuu4wfP/6h58jOziY7O9vwOCUlBQC9Xo9erzfm2ymy9Ho9iqJIexqJtKfxSZsan7Sp8RWUNj0f9St2ej2OGktSivnjZKJ5TaU9n+b8JlGg6XQ6Dh48yJdffnnP9nbt2rF79+4HvqZRo0aEhISwfv16OnToQGxsLCtWrKBTp04PPc+4ceMYOXLkfdvj4uLQ6XTP9yYEcPvDl5ycjKIoaLUm00FbYEl7Gp+0qfFJmxpfgWhTRcH32F9sTrpGqFUfWk3cwcSXqtLIvbjaye5jKu2Zmpr6xPuaRIEWHx9PXl4eJUveO6iwZMmS3Lhx44GvadSoEYsWLaJXr15kZWWRm5tL165dmTJlykPPM2zYMIYOHWp4nJKSQvny5XF1dcXR0dEo76Wo0+v1aDQaXF1dTfeHSgEi7Wl80qbGJ21qfAWiTa/sRpt0kTxzW1Ylt8De2pzAOpWxsTS9S5ym0p7W1tZPvK9JFGh3aDT3zjisKMp92+44efIkgwcPZsSIEQQGBhITE8Nnn33GwIED+fXXXx/4GisrK6ysrO7brtVqTfcboADSaDTSpkYk7Wl80qbGJ21qfKbepvEH5+AC7LZpQVqaLW/4lcPO2kLtWA9lCu35NOc2iQLNxcUFMzOz+3rLYmNj7+tVu2PcuHE0btyYzz77DAAfHx/s7Oxo2rQpo0ePpnTp0vmeWwghhCiKkpMu0z41Eq/SbiRc9Qegd4MKKqcqXEyiLLe0tMTf35+IiIh7tkdERNCoUaMHviYjI+O+StTM7Ha3qqIo+RNUCCGEEERFTiNXAylmNhzLqUH9Sk5UK2mvdqxCxSQKNIChQ4cyZ84cfvvtN06dOsWQIUOIjo5m4MCBwO3xY/369TPs36VLF8LCwpg+fToXL15k165dDB48mPr161OmTBm13oYQQghRuCkKLc9sY9O/16lxqyGg5TXpPTM6k7jECdCrVy9u3brFqFGjiImJwdvbm/Xr11OxYkUAYmJi7pkT7Y033iA1NZWpU6fyySef4OjoSKtWrfj+++/VegtCCCFE4ffvPog7jYu5DdsyO1DC1oL23qXUTlXoaJQifD0wJSWF4sWLk5iYKHdxGoleryc2NhY3NzeTHdhakEh7Gp+0qfFJmxqfKbdpTtgALI4uhTp9yOwwmbM3U6ld3lHtWI9kKu15p+5ITk7GwcHhkfua1lddCCGEECYrOTmaVkm7GO7iRJZvb2wszUy+OCuopEATQgghxBPZtu8nksy0nLB1wLJcA7XjFGpSoAkhhBDi8RSFLmd38vv1G1SIr0O7STu5HJ+udqpCy2RuEhBCCCGE6QqbMZoxY6M4Ha+gd9pOmZYVKTO4qdqxCi3pQRNCCCHEI4WFhRH8/ghcbDX0DawDNo5cXDKKdWv+VDtaoSUFmhBCCCEe6dtvv8alph0vv1+S897vULLXKJq2aMXYsWPVjlZoSYEmRBETFhaGv78/dnZ2+Pv7ExYWpnYkIYSJO3P2LOY+9vxtX5LzSnmaV3ejW5dOnDp1Su1ohZYUaEIUMM9TYIWFhREcHIyLiwuhoaG4uLgQHBwsRZoQ4uFys/FyMaNUVAJWCQ0BeLV+ecLDw/H09FQ5XOElNwkIUYDcKbBatmpJ59deImrvboKDg/nsjY4EeJXjvFksZywTqGdpz7slSgKQa+PEsCsX0Fo4sHTM39T29WXQl8MpU7E6AwcNpluXjowdO5agoCCV350QwiSdXMPXjc0IXpbJmRm7caup8OOQn9m8ebP8cZePpEATwkQpisKFG0ls3LmcK0m78DfP5YdRm2lX3Y6wpgdp6F4Bq8bFaDnanH82hjO+YjFmF3dgXzFHyqZGw/EdAJgBWyqWI1urJfb6VQbXiKPrtk6ss7VnrIMz5sVzObXjAiRchBLu5OgVLMykc10I8f8OzCbI04IVI4MIWX6cy1vm41KzJmFhYXTv3l3tdIWWFGhCmJCrCals3r8S+4uncYvbT239STQlLAkvURzztHROX08mtKUVdphRRZeLucaS0r4e/Lr2NBer9KW0NpNXNUnUKl8K/L1A0ZORfIOmN3aRnJOO4mbLuoswKMCC49bmnLXOI/vYRTxL5MDkOuRZl2BAMVdK29Sndd0PaepVHUvz/xVrYWFhjBkzhtOnT+Ph4UFISIj0vAlRiJ0+s4YJOZfoY2dH8MAJBI+QNTdfFCnQhHiBHljgdGoHp9aSe+ov3k6P4pqFGX8k3cBb0YEG/LIsqZ9jg7tTLTyqKmzMKsmQT9fxp50zChC4LJCatayo3HcqlYHO/zmnHfDTnfM73b5E2mVXIxo2rI52/l+cP5NF2HveYHaD67kpRNrbY6FsY8ify9i+ypfrZTtSMaA7N09F0uvlnrRr147Q0FA2btxIcHAwK1eulCJNiEJqSdRU9tlY41isNC3spTh7kWSxdFks3ahMZUFaU3Rn/Fi7du0IaNqcJSvmcubIeVa+6khQdT0AH7q5sM/GmkEZzjQv34GSPm1ItiyDW6nSaLVawzHatm1L+/btCQ8PJyIi4qkuNYSFhTF27FhOnTqFp6cnISEht1+bqyPuyk5m7/uFrMQzjIr71/Caz11c+XX8DSqVrkbk3ig0Gg2KohAYGEhCQgKRkZH50mb5QT6jxidtanwm0aaZiVz/2YtltubszepL7Vp9+CywBuYFcAiESbQnT7dYuvSgCfGChI4eQ916dRncthyuWbNZ8bEd9hPsCN2WSlDDWlCrJ1+X9cepUlMsLG2B2z9UiI01HCMoKIiVK1cyduxYhg8fjqen51OPAwkKCnpwj5e5Ja5VWvFVlVagKOTFHOXm7sXoz63hbzszEm9m8Gatc2j+eAWaDIXy9Wnfvj3Dhw9/7rYRQpigw4spk51Ob7Oq/JwYQM6VxAJZnBVUUqAJkc9iEpKYvS6Ek8cPMa6lJZ3SzgJQP8sKV+8y7FsTDR9GgUZDySc43kMLLGPSaDArU5syPWqj6Mcx6/gSupUeyLEzmShnNqA5G85ch+r88ls8VarVyN8sQogXT6+HA3MAmJ3VGtDweqNKqkYqaqQUFiK/6DJg3yz2/t6I5cp2rEpbsuFCHmdLtCC246/82v8IFgmVqFnTGzQatdM+lEarxd/nNSZNnMemC7kErnHk+725fPrrKS6euEzd2kn8sXYD2bl5akcVQhjJvqiZjNYkctq6OAszGuBqb0V7LxmD9iJJgSaEkR06f5LdKz+Fn2vBhs/onHSNmtl5dA2qy+YLuXzwVyYLd0YT2KkLERERhISEqB35idy5vJpg5saoHQrWmeY0GliGme636Bn5Gqu/f4vdJy+pHVMIYQQLTy5gqYM9PzlUJQNrejeocM8d3SL/SWsLYSQnzpzh56k9GLijJ7/Er0HJiAfHilh0+pElb0Sy8KedtwuchASGDx9OQkJCgZtHKCgoiMjISNLTM7h+MYntY3cTW7oN5ho9PXP+ZPk/Hfhi1ofcSs1SO6oQ4lklXqbv9Qu0Sc/g1M32WJhpeK1BBbVTFTlSoAnxnGLib7F+6se4L25Kn4S/yUVDipkVN9pPvD22rN7baP5/0P//Cpx0IiMjC1Rx9iBmJSpS9t2VZPT8g9UOZdlsb8Fmiy1kh/WE1JuArP0pRIET+Rv1s7J4L70S0dledPAujZu9tdqpihy5SUCIZ5SRlcPPKz7FMi6cT5NvgAZuWnkxteobNGz8NpoiNN2ArVdH2lcO4NyaATjGHKBM0naY2ZSVdn3p8f4ImTtNiIJClw4H5wPg0Ox93rhZiZd8y6gcqmiSedBkHjSjMpW5ZvLdtYPsWj2YgXYpmCkKs6/rKNlkBBWa9jbqgP8C2Z6xp2H5GxB3Cp9Z6SQVd+LvLaepVsrJJOZOK5BtauKkTY1PrTbdsPkzYo/+QZCZE/YfHgKt2Qs7d34ylc/o08yDJt9JQjzG3ZfofH1qEfZFO5jdisaxx+mQlkVPi5p4f7yXCs36mPTdmC+Mmwe88ze6Wq9w8paeHF8zpi5ry4Z9R9FoNLRv355Tp06pnVII8R/6vFymRYczwbkEa6o3KTTFWUElBZoQj3Bn5v7iJRyp36kK1/MuETw+grBTOVD7Ncb33U5I72XY2DqpHdW0WNphGTyTChXcyD6WyifJl6izviu/h60hPDwcT09PtRMKIf5Dfz6C1xNv4ZOdw764IA5eSVQ7UpEmBZoQjzBmzBgaNmzAd00TMQ/Mwe2zSnh5ODD2dCXoPh0cSqsd0aRN+H4aiSfSeX1BDov33mDeZz2JiIjgy2HD1I4mhPgP830z6JGazqvJAaw5mc3fp26qHalIkwJNiIdIy8jixPFjdLc/Rn3lAl/FpTPYsQ1vvj2CU+evqB2vQLgzd1qqfVW+3ppDbFYeHoPKsiduM3n6Ijv8VQjTc/MEXNyKotHyXUJzzLQa+jSsqHaqIk0KNCEeIHzfWl5f0IBKLgp/X8zmdLEGNHh7J++89BMbN26US3RPISgoiMiDh8hIz6Dr6EaY1ytBEpvR7JuudjQhxP9buC2E7TbWHCrWhKuKKx1rlaaMo43asYo0mWZDiLvp9bB/JlEHfuCsgx32XUuyacY1Bm+C9toVhIeHExERIXN5PQtzK0L7/k255S/T58oWtBuHQdpNaPOt3FwhhIpuxZ/lp4zz6Eq5USnaG4C3m7irnEpID5oQ/09JuATzOkH4l3yckEDrLGsWfxFW4Gf/NyVm5ha8/0oYDi2H396w62f+mP4mt9Ky1Q0mRBGmOfIHr6ak4qcz41h6I+pXcqJ2eUe1YxV50oMmijxFUfh5+Vfobizni4Q4sLDDNnA0P/u/CRoN1SrVl0lVjUmjgaafgLUjf239mu9tI9k+tyff9V9JcVsLtdMJUbTkZuMUtZBP05P4nH6Alv5NpffMFEgPmijS0jOzWDK1H/My1rKwuA3rS3rD+7uh7lty2S2/1etPdJX25Gk0OGmOsfSXr1i0dLksCyXECxQ26Uv8f7qI3dhUlv2xigopx2jjWVLtWAIp0EQRdunSBS5MaMWrt9bwblIKnfTlaNN/E5SopHa0IuO9oLmMK9aI0PgEXCJ/oc8rL+Pk5ExoaCguLi4EBwdLkSZEPlm5YgXBn/6MnZ2W0AFdqFGpLDumD2P1n6vUjiaQpZ5kqScjM5XlNB5nwYYpNNn/A+5KMunYcL35BKq17KN2rPsUlPZ8LopC3MrPaD/4J5xttDQd+jlfvTcarYZ8WRaqSLTpCyZtanwvok09PCtyzTwBzyHl2dojAhv7MqovxZZfTOUz+kKXepo5c+bzHkKIF0dRGD+/Hz/enMlEVwsum1ck+81/TLI4KzI0GlyDf+BUghbbWsX403Y145dNlmWhhMhn0ZeuUbuGFQ1zS7LhnEJOniLfcybkuQu0PXv28OGHH6LX6wE4c+YMffv2fe5gQhhdVjIs7UPna+sxUyDXojRuH2/BqWJNtZMJjQZPr1pEnlfI1kCp+OkoyddkWSgh8sutC3g6KdgdTuLoxVf4MuwoCenZ8j1nQp77Ls558+YxceJEOnbsiKOjI+fOneOzzz4zRjYhjCYj5gy2K16DW+epaWbJr+VepXbrYWjkcozJCAn5muDgYEqN15NYXkfgtFpEnEqUMWhC5Id9MwlpakXwskysl86kQdNW9Ov5s8zzaEKe+7dTVFQUu3bt4ubNm+zfv5+wsDBeeeUVY2QTwij+iJjBq+u6cz35EjiUgzfD8W0bIsWZibmzLBRWlRi+RUdCUjLzP2xKnSZt1I4mRKGSlHiJBedW0L6mJc2DeqPPSmX/iukyz6OJee7fUO+//z79+/fn0KFDLFmyhJdeeoldu3YZI5sQz23rqtmsufgTFy3N+M65ArzzD5TzVzuWeIigoCAiDx0l/ex2tgwsQaTHNb5b8ipp2blqRxOi0Phj+3DGO9rxbukKXK72Cj1DF5KRkU5kZKQUZybkuQu0vXv30rFjRwDq16/PX3/9JZc4harCwsLw9/fHxsqSTwYNpM3Wa7TKsmN0n01gL/P7FAiVmhBR/w222Nmy3/4y0xf8RBG+4VwI49FlUPHKPirm5KAk+QMamZjWRD13gZabm8uWLVvYs2cPycnJlC1bln/++ccY2YR4amFhYQQHB6PLuMaYFlpcbDW8vSSdZs6f4GDvpnY88RSC2k/gTbOKzL9+kzf+nczaXYfVjiREwXd4ER0TYlkQr2VPwktUcytGi+quaqcSD/DcBVqPHj1YuHAhnTt3xtfXl4oVK9KjRw9jZBPiqY0c9S2lPR2w/MyJls0d+GHsN7Rt25Zx332vdjTxDIb2Wk5piwq4alJwifiQ8zeT1Y4kRMGVlwu7JwOQ6PMODaqUon8TdzSyaopJeu4C7dKlS/z666+UL1+eS5cuMXToUOrWrWuMbEI8ndSbnD91gsqe5mg0Wo75DMTn5eEyr09BZmGDU79FZGusqGp+ktl/vEtWTp7aqYQokPbuncjO7FgUW2cqt3mXxe80pFe98mrHEg/x3AWajY0NAJaWluh0Oj766CO2bdv23MGEeCrx52FOGzycwfpYJuM9PqNf51EoiiLz+hRw2pIe/Nv8K3qULcUmx+PMWTdd7UhCFDiKXs+Es4t4r5QbSz1bgqUtgPSembDnngftgw8+ICEhge7duzNo0CAaNWrE5cuXjRBNiCezce8q4vZ+QZ/km4R0qEjwb5fQfrOIw+1vER4eLvP6FAJVmg3G99IKbuji6PTvTMjqC9bF1Y4lRIGRfS6c+qlJ3CpWjKtKb26lZeNczErtWOIRnrsHrU+fPjg5OTFs2DAaN27MqVOnWL16tTGyCfFYO/asI/Tk13xfworlzlUImryflStXkpCQwPDhw2Ven0JCo9UyrsdyFmZY4p4QTdi3r+Dv74+dnR3+/v5SgAvxGNZ7pvF5QhIfxvkxdXcmc3ZeUjuSeIznLtDmzJlD48aN6dixIydPnqRWrVqGZZ+EyE+H9/5DrfABBKWmUVWnockry8HO5fZcWpGRpKfLvD6FiZ19aSy7zyLsVC7B34djRi6hoaG4uLgQHBwsRZoQD3P1IFzegV5jzg+JbbE01/Jm40pqpxKP8dwF2pgxY5g2bRoTJ06kXr16nD9/ntGjRxsjmxAPFbVjA1U3vIajJp3OGaWZ22MjpV2rqB1L5LeKAYw+WIza1S0pOSCHGi3aER4eTtu2bRk7dqza6YQwScu3fc2/5ubssmlBDM68XLccbvbWascSj/HcY9B8fHyoXr06NjY2eHh40LNnT2PkEuKhft8wkUvnfmG4JpPT1rVxH7wWK1sZj1RUnIlJo1znEly2NiNi28c09lhP+/btGT58uNrRhDA5ly9vIzTnX7TlSuN0oRFmWg3vNpM/ZguC5+5BGz58OF26dGHt2rXExsY+17GmTZuGu7s71tbW+Pv7s2PHjkfun52dTUhICBUrVsTKyooqVarw22+/PVcGYdouRa3glxu/sqK4LZOca1Ll4/VSnBUxHh4eFL/ixCfxCfyYfIDflyyWO3WFeIi8Q/NpnJlFbZ0NF3M86Fq7DOWdbNWOJZ7Ac/eg9evXj3r16rFu3TrGjRvHzZs3cXd3Z/PmzU91nKVLl/Lxxx8zbdo0GjduzMyZM+nQoQMnT56kQoUKD3zNyy+/zM2bN/n111+pWrUqsbGx5ObKmn2F1un1uP/1Hl9bmxNWvBwD+m/AwrqY2qnECxYSEkJwcDDz08uSUCabVQsGsfNihoxBE+K/Um9Q5fhapufpCNa9C8B7LaT3rKB47gKtePHizJ8//55tzzLNxsSJE+nfvz9vv/02AD///DMbN25k+vTpjBs37r79w8PD2bZtGxcvXsTJyQmASpUqPfV5RcGQc+xPLFb1B30uXSp2oHP32Wgs5BbxoigoKIiVK1cydnQow7dcx9NFQ98+TejQuava0YQwLXunQZ4OXZn6VHdpT6msHKqXtFc7lXhCz12gNWrUiAULFtC3b1/DtqctlHQ6HQcPHuTLL7+8Z3u7du3YvXv3A1+zZs0a6taty/jx41mwYAF2dnZ07dqV0NBQw+S5/5WdnU12drbhcUpKCgB6vV7uPDUSvV6PoihGbc9f143lwLX5/KTkYVvrZZSXfgGtOUoR+JrlR3sWBt26daNbt27cOrSETyK/4bhVIr+sW8GQlx4/Blba1PikTY3veds0NfUaf51cRDeNBuumHzOmhleR/hqZymf0ac7/3AXaqVOnWL58OaNGjaJevXrUqlWLWrVq0blz5yc+Rnx8PHl5eZQsWfKe7SVLluTGjRsPfM3FixfZuXMn1tbWrFq1ivj4eN5//30SEhIeOg5t3LhxjBw58r7tcXFx6HS6J84rHk6v15OcnIyiKGi1zz3EkWMHI1gYt5gEW2t+KOnDwIBvIT7h+YMWEMZuz8JGKd0CjZkD5koWVW/NJDa2+WNfI21qfNKmxve8bbpsxyfMdrRlYzE7vnesA885RrygM5XPaGpq6hPv+1QF2pUrVzh69CglS5akfv36AKxfvx643Rt1/Phxjh8/zubNm5+qQLvjv0tOKIry0GUo9Ho9Go2GRYsWUbz47UHiEydOpEePHvzyyy8P7EUbNmwYQ4cONTxOSUmhfPnyuLq64ujo+NR5xf3ufF1cXV2f+5vgROQ2AvZ/xjSrPKY6ufP56+uxtipag1uN2Z6FVWjriVgs7knpnKvok6KgevtH7i9tanzSpsb3XG2anUrlawcpW8ySUkpLYnNt8C5btG+mMpXPqLX1k09v8sQF2h9//MEbb7xBTk4OGo2GOnXqsGHDBlxdXQFwcHCgUaNGNGrU6KkDu7i4YGZmdl9vWWxs7H29aneULl2asmXLGoozAE9PTxRF4erVq1SrVu2+11hZWWFldf+4Ja1WKz9UjEij0Tx3m545up9yf/WlmCYTrdaXyW+sx8LazogpCw5jtGdhVsG9OdQfCLsmod34Fenlm2Fn9+ibR6RNjU/a1PietU3DfvyIMdMucypeYYuTjs37yhA5O6TIr7tpCp/Rpzn3E+85cuRI+vbty/nz5/nnn3/QarX3jRl7VpaWlvj7+xMREXHP9oiIiIcWfI0bN+b69eukpaUZtp09exatVku5cuWMkkuoY8+xLYzc8zrpFhmct6iO+weri2xxJp5Qs8/QFyvFpbR/+WbmG2Tq8tROJIQqwpYuInj4fFxsNQS0bIXWpjhRvw5n1apVakcTT0mjKIryJDtaWlpy7tw5KlasCMCZM2fw8/MjPT3dKEGWLl1K3759mTFjBgEBAcyaNYvZs2dz4sQJKlasyLBhw7h27Rq///47AGlpaXh6etKwYUNGjhxJfHw8b7/9Ns2bN2f27NlPdM6UlBSKFy9OYmKiXOI0Er1eT2xsLG5ubs/0V4qScp03FrclykaLXyb80utvipVwy4ekBcPztmdRcmz3ZPqdnYWZAv3cxjG4U5cH7idtanzSpsb3rG1arZobTppkwt+qSt2kcVRwtsd80zgSExOIjIzMx8SmzVQ+o3fqjuTkZBwcHB657xOnzM3NvWdcV40aNdDr9Q8dxP+0evXqxc8//8yoUaPw9fVl+/btrF+/3lAQxsTEEB0dbdi/WLFiREREkJSURN26denduzddunRh8uTJRskjVJB+C82C7vwQF0OjTD3DOywo0sWZeDreDT+gZp4lDbOysIuaTlxq9uNfJEQhkpmRwMXoeKL9nfjcrD55mPFey6p06NCeU6dOqR1PPKWnuklg/vz5NG7cGB8fH4oVK4a5uTkZGRlGC/P+++/z/vvvP/C5efPm3bfNw8PjvsuiomDSZyajXRgEcadxsy/DzF7roURFtWOJAkSj1TKz9RSKzeuIXonnl3Ub+PDVbmrHEuKFyYmaR2k3c3RHU/mnQmcqutjS3bcMnb6SlTYKoifuQWvSpAmjR4+mSZMmODo6Uq1aNbKysvj111/ZsmWLYU4xIZ5GWFgYvr61sXJ0wnPUbsIuWkO/1VKciWdSrFJj4it2RKtRSAwLwbt2Hezs7PD395eVBkThlpOJw94ZTG5kTtzJdK4vG0Ol61vo1LEDERERhISEqJ1QPKUnLtC2b99OcnIyZ86cYeHChXTv3p1mzZoxffp0WrdujZOTk1To4qmEhYURHBxMii4alyA3bpawInhBLGE7jqsdTRRgLl1Hs+iUnm9WnCQtN4XQ0FBcXFwIDg6WIk0UXlG/Q9pNujeszKDQKdjoM1gx60cSEhIICwuje/fuaicUT+mJbxJ4lEuXLhEZGcmhQ4cYO3asMXK9EHKTgPE9zUBMf39/zDLj2PpyMsNdXQio8SGzxq8nIaFoD2a9m6kMbC1oyrk7klwsjxYfVGT2K3sp6WBHYGAgCQkJ7N+/X9rUyORzanxP06a6rBQmz23Iq7duULb9BKj71gtKWXCYymc0X24S+Oqrr9i/f/8Dn3N3d6dnz54FqjgT6jt54jivlI/FFuhX8RN6tPmY9u1lMKt4fomxOtw9bRmYcgu3y+vRaDTy2RKFVti2EObbmtG/TBn0tV9VO44wkicu0GJiYujcuTOlS5dmwIAB/PXXX/esaynE0/h9ww+UcVHYeCGXAxXepnbn91EUhfBwGcwqnp+HhyelLxenY1o62i2jUXJ18tkShVNuNjXP/ENAZibVM2ux/lQiev1zXxgTJuCJ7+KcO3cuiqKwc+dO1q5dyyeffMK1a9do27YtXbt2pXPnzri4uORnVlFIHDwSzrQb88jpXopNU/9F+eMo7ZMmEh4eTkREhIwTEs8tJCSE4OBgApNsaO9+lrDfa7Pr0Gn5bInC5/BifBKu8pOlC34pPTm26SztvUqhpWivGlAYPNWFWI1GQ9OmTRk/fjynT59m//79NGzYkNmzZ1O2bFmaNWvGhAkTuHbtWn7lFQVd6g18//mEV1NSaVjLicWLfychMZHhw4fLYFZhNEFBQaxcuZIErQshW7I5c+syn/8wVT5bonDJy4EdEwH4Jacz2VgxuHVVzM1kHGBh8EyLpZcqVYp69erh6emJp6cnn3/+OXFxcaxZs4Y1a9YA8Omnn+ZLYFGA6dJhcS/Mkq/ykXNV3nnlL2wdSvHqq33VTiYKoaCgIDp1bEX7xY2JN9OSmLSD3Lz30ErHgigkNm7/lnglgQ4Wzvya2oLKLnZ08SmjdixhJEZbLN3V1ZX+/fvTv3//fAsrCq6s7CwWz+3MGzcOo7V1hteWYetQSu1YopCzsnZkYKlWXDu3hg5J+1gdeZHu9SqrHUuI56bLTuXHS6uJcXbin1tVyU61ZHDratJ7VoiYxGLponBTFIUvfu/CTzbxhLi4oLyyGJyrqB1LFBG92v7AgAwrPJUEojdPR5erVzuSEM9Ne2ghAxIT8NLp2Rn3KpVd7ehSW3rPCpMnLtAuXrzI8OHDqVy5Ms2bN2fBggUsWbIkP7OJQmLXH+NolXwCC0XBvVxPNBUaqh1JFCUW1li2/AKA3roVrNp/XuVAQjyn7DTMd/xIj9R0al7rQLZix0etq2Em1+8LFZNZLF0UTkd2/kWDMxN4KS2d77SBDOj2ndqRRBFkWbcvJ+1KM8VVy9bI4eTmyTQEogDbNwPS41BKuNO81xC61i5DZxl7Vug81cXq+fPns3v3btLS0gCMvli6KFxOnovE9e/3sNDkcah4G9r2+UHtSKKoMrfkSK1A/rQvxjn7k8QkJqudSIhnkpwczcBTczhgbYWmZQjNPcsy+dU60ntWCMli6SJfJKUm8NWWt/iktDX7LSvh+e48NLIEjFBRUItRdM7M46fYWKrHRagdR4hnMn/zUHZZWzC2ZGn0XjJtTGEmi6UL41MULqwbTJx5LtHmFlgGTcba1l7tVKKIs7Iuzjif96mdrcPu0GzQ56kdSYink3qTV8/s5pWUVOzim/LL1kvk5slNL4XVU82DBlCtWjWqVavGK6+8Yth292LpQticXEK9c3+xxMKCqIYj8PVornYkIW7zfwNlxwTMU66w+6/faNhlAFq5NCQKiu0/4KpLp09GJZontifrbBwftKqqdiqRT566QHsQd3d3w4LpomjLu7wbh11jACjf/GvKNxmsciIh7mJVjPS6b7PyyAwirk8h6XhnOvqUVTuVEI+1cv50xg77mdPxeVg5R2PecA9fDvwEjUb+wCisZFCQMJrjFyLpFzGAM+ag1OwGjT9SO5IQ98n168v0EsU5Yqth0qR38ff3x87ODn9/f1mrU5iksLAwerzxPsnFLegfWJlMazfi/hxLdNRWtaOJfCQFmjCKrMwMftn4NsetzQhxKU1up0kgf9kJE+RQvDxvWXvS8Z+rbPrtL8xsHQgNDcXFxYXg4GAp0oTJ+fabYRTzssP6iyqcqfsaJXuNolGzlowdO1btaCIfSYEmnpuiKETNepfv4i/TJi2b972+xczGQe1YQjxUt/ojiIhIpV0VMzq90oehQ4cSHh5O27Zt5ZeeMDkXzl3g7YrQNa04ZzIbEuxXnuCXOnPq1Cm1o4l8JAWaeG57l0+kUeIa7POgv9cYvKo0VjuSEI+kt3PjTIKGwCrmNLyxmOPXktFoNLRv315+6QnTci0KDyeFk2eyibreF0szLR+3qUp4eLjMnFDISYEmnstfuxaSe3ECAAerDKJms2CVEwnxZDxqVGfJJYU/ylxh/uYVKIoiv/SEycn5J5SQplZsupBL+p7lNM7aQ/9XuhMREUFISIja8UQ+kgJNPLPrsf8y6dR3DCrlzHSnOtTtE6p2JCGe2LDhIzlwTseKX26wa91Y2rULlF96wqQcOTWfjrln0dR3ZuX86WSmJrNsxo8kJCQQFhZG9+4yUW1hJgWaeDaKQvEtITTJTMMtT6HLK7/JSgGiQAkKCmLCjx9SIiWHw6svkngrVn7pCdOhz2PthcXEmptzrLQPQf0GEhkZSXp6OpGRkfI5LQKMMg+aKIKi5mN3ajUjtOZcbzuHMm6V1U4kxFP7ZMgkPrE/AdcioVkPaCW/9ISJOLyQiVcvs8jRlZ/jeqJZd5LhnWuqnUq8QNLlIZ7albO7UTZ8cftBq+GU8WijbiAhnpVGA41vT6as3zebnSevqBxICCA7Fc2WMVgCt5I7kZznSiVnW7VTiRdMCjTxVOISb/DetgF862hLcqUW0EhWChAFnEdnTjtWILSYhnkbviArR9boFOq6vCUU0uO4ZVmWmZmtqOhsyyv1K6gdS7xgUqCJJ6YoCisX9eeqBWyzsSWhzTiQcWeioNOacaB6E1Y42POvw3HCDkovmlBPzPWD9IhZzzul3BiWFUQO5nzR3gMLM/lZW9TIV1w8kbCwMDyrVuSToevRhZyh/r8BuJeT8RCicAhq9g2B6dmMuRXLsW0r0esVtSOJIurI9jEoQJqZHZt0DahfqQQdvEupHUuoQAo08VhhYWEEBwdTjpuEtrTCsURZfhj5qyyJIwoNu2KlGFspmLpZ2XRKW8XWs7FqRxJF0dWDtD/9N2uuXSfxajAatAzv7CkLohdRUqCJxxoVOgp3j2Is72dD+xb12XnonCyJIwody0bvoUdLE7MTbPx7s9pxRFGjKLDp/+fgK9uFOLMGdPZyxqtMcXVzCdVIgSYe68TJY2T6FqN/6dK4vj4fcwsLWRJHFD6OFYiv2oH5Dvak6KZz/Fqy2olEEXLkwC9cu74fzG0oGzSWfz5pzgdNyqkdS6hICjTxaKfWUt1FQ97RFLqX64drGXdZEkcUWjG+XZngXIJ9JZI4efGI2nFEEaHLTmXY8Zl0LVuG3X49oHhZHGwsKG4jU5UWZfLVFw+XegPWfEhoE0uCl2Ww4OctxJ22Ijw8nIiICBmDJgqd2t6v0HnfBPyTrtO5wnagmdqRRBGQvG8aZXRZZFpaEu/2LooiN6kI6UETD6HPy+PaigGQmUhQS39WLltKQkICw4cPl3XgRKE2rv6X9EhNx/rgfMjNVjuOKOzSb+G66xdm34ildnRrBq+IZs/FW2qnEiZACjTxQD8sHcjLynk2FLOHoFkE9XxZ1oETRUPNl8C+DKTHMn30EOr4+WNnZ4e/v7/0GgujCgsLw792Tey++Zfas3P444gdAZWdCajsrHY0YQKkQBP3uXL2KCdTtpNiZkZkyRbgJmPNRBFiZoG+7luEXoD3R04nz9KO0NBQXFxcCA4OliJNGMWd6YuyzVP4tqUVcVbliP3zOwLMzsu0GgKQAk38R26OjsxlA5hz4wbvJtky7NW5akcS4oVLqRXMdzt0FPMuRp2XmzNkyBDCw8NlehlhNGPGjKaUlz18WYWrXfyx7DmRSrUD+H36z2pHEyZCCjRxj/0Lv8Ej9xRZ2NCz+wLMzS3UjiTEC+foVJmcGzm0qGpOYMoutp+LR6PRyPQywmhOnzxBR3eokKtn943eONhY8FavbvL5EgZSoAmDjbv/4N9bC1CAs3WGU7JCdbUjCaGaWjVqoDuWSk99FH9u3SfTywjjyUjAwxmunsqg1bVWxOVWZHCrquzYslk+X8JAptkQACSnJTD5xBiiXUtwzsadkC7vqR1JCFWFfBNKcHAwnRal4VD5G5ounsiubVtkDJp4bsrmbwlpbEbwMh2JEccoWd6CpaE/8/fmzfL5EgbSgyYAKLbjB15OTaJkrp7eL81Eo5WPhijagoKCWDnpK2KyYM32Q1z497pMLyOe2/GTy+l1YyOVfe1YOX0M+qx0jq+ZRVJiony+xD2kB03ApR2Y7ZvO6ygEB/5CsXI11U4khEnoPmgks4utBjMNjZNr0fWlbmpHEgWZPo/Je8dyysqSxeW8Gd/3K4IGfqV2KmGipJukiItPjCH3z/cABfz6UczrJbUjCWEyNGbmvFayMS3SMxhocQ4zmf1API+Dc/nu6mV6pmax62JvFu27onYiYcKkQCvivl7ek3dssrlSvDwEyvQBQvxXn1bfMyUpC9+bZ+HiVrXjiIIqLQ7+HoWTXo9ZbEeuZZbGTOY7E48gBVoRFhE+kyiLRA5aW3GozodgZa92JCFMjsbGEXxfAyBv73T+TchQN5AokGI2fQlZyURbVuU3XWv8K5bg5brl1Y4lTJgUaEVUclICPnu/Z+W1GPrmVKNbi3fVjiSE6ar/LmkaDYtv7ubrRb/LYtbiqRw6upAOKfsY41yCj1J7g9acMd290WqlB008nEkVaNOmTcPd3R1ra2v8/f3ZsWPHE71u165dmJub4+vrm78BC5FTC4ZQklto81z5sPfvascRwrS5VOXrSp6Mdy6BkreYyCuJaicSBUVeLrv3/0yeRsN5bVkOKTV4u4k7HqUc1E4mTJzJFGhLly7l448/JiQkhEOHDtG0aVM6dOhAdHT0I1+XnJxMv379aN269QtKWvCt+WcWpZPXAZDc9kesbeXSphCP87JXXyrpcuiUc4WFW4+qHUcUFHumMujqOabdTOPw9bco62jDR22qqZ1KFAAmU6BNnDiR/v378/bbb+Pp6cnPP/9M+fLlmT59+iNf9+677/Laa68REBDwgpIWbIkp8fxycTLBZUsx1605NRt1VjuSEAVCgN9AlmUUo1d6Eq7nl3HlVrrakYSpiz8HW27ffJVR+n1SldKM7OqFraXMcCUezyQ+JTqdjoMHD/Lll1/es71du3bs3r37oa+bO3cuFy5cYOHChYwePfqx58nOziY7O9vwOCUlBQC9Xo9er3/G9AVL2tbvqJSTRbbGirbBPxv9fev1ehRFKTLtmd+kPY3vedrUqvEgWPcxb5ht5LcdA/i6q08+JCx45HN6P70+lwVrXudlvQ7byq1o+9pQtiRlUbaEzRO1k7SpcZlKez7N+U2iQIuPjycvL4+SJUves71kyZLcuHHjga85d+4cX375JTt27MDc/Mnexrhx4xg5cuR92+Pi4tDpdE8fvIAxjztOuUO/MUPJI7LxaMwVW2JjY416Dr1eT3JyMoqioJXVCJ6btKfxPVeblmqJo0Vxrpincf7Er1zw/QJ7a5P4Maoq+Zze7689X/GzWSqry5ZmesOv0MTFYQHExqY+0eulTY3LVNozNfXJvv5gIgXaHZr/zAmjKMp92wDy8vJ47bXXGDlyJNWrP/mC3sOGDWPo0KGGxykpKZQvXx5XV1ccHR2fOXdBoOTq0K76Bo2Sh+LVHf/Wg/LlPHq9Ho1Gg6urq/xQMQJpT+N73jadX7MpE1OOUi1zOycTv6BLbbd8SFmwyOf0XmELZvJDyELOx+Vys6QjS4efZnB//6c6hrSpcZlKe1pbWz/xviZRoLm4uGBmZnZfb1lsbOx9vWpwuwKNjIzk0KFDfPDBB8D/ui/Nzc3ZtGkTrVq1uu91VlZWWFlZ3bddq9UW+m+AkYv7USYrmn7WJbDq8EO+rrWp0WiKRJu+KNKexvc8bdqp0TB+++tl7A7cYOS0trx2IRoPDw9CQkIICgrKh7QFg3xObwtbuZKeb7xPuypmdGpTkWknHRkyoB8VnO2e+vMhbWpcptCeT3Nuk/iqW1pa4u/vT0RExD3bIyIiaNSo0X37Ozg4cOzYMQ4fPmz4b+DAgdSoUYPDhw/ToEGDFxW9QNh/JII1ykkmOzkyv9rLUMxV7UhCFFhuJb358FRpFv4Wj6s2ldDQUFxcXAgODiYsLEzteEJlY77+hHZVzFjX14lIn68p/9oYmjRvxdixslKLeDomUaABDB06lDlz5vDbb79x6tQphgwZQnR0NAMHDgRuX57s168fcLsC9fb2vuc/Nzc3rK2t8fb2xs7OTs23YlLy8vKwX/c138bfonGmNW93G6d2JCEKvO83xtCuihnh3dLp1+slNmzYQNu2beWXcBF388YRjlyMpqqHDT/lvcwVpRRfdPCke9dOnDp1Su14ooAxiUucAL169eLWrVuMGjWKmJgYvL29Wb9+PRUrVgQgJibmsXOiifsdWDaehjmnqaCzpn6vxWjNzNSOJESBd/rCFUK7Vueq+U2mLfiIjsFzad++PcOHD1c7mlCLojBr0wdYlLZixSWw9WpDPfcSvBFQkQ6jwvH09FQ7oShgNEoRXrMkJSWF4sWLk5iYWChvEjh9LpLSCztSXJPNPs+vaNDri3w/p16vJzY2Fjc3Nxk3YQTSnsZnjDb19/fH2jKLlAFgB3jkjOf6ikkkJCQQGRlp3MAFgHxOgaPLyFo1gIHRlsz/LQ5b9zoMefNl9u/4h4iICMLCwujevfsTH07a1LhMpT3v1B3Jyck4ODx6NQmT6UETxqXPy2PMPwNJL1eCdxOL07bHp2pHEqLQCAkJITg4GNeUYlTztGLboQFcvnhdxqAVVWmxsOFzrBWFTt6vsr5bMexOreGn70Lx9PR86uJMCJACrdA6e2ABlywySNdaYNd2hFzaFMKIgoKCWLlyJaNDhnJ4zRWquljSZeh4+SVcBCl6PUfWDsQ3MxFK1SKo/w9Ytoyji89oWQxdPBfpNy2MdOl47JnA2qsxfGbhT5M6spyTEMYWFBRE1NHTJI2qzJEB1lS2SeJaUqbascQL9ueWL+mrO8cXbi4oXadiZmHJS75lpTgTz00KtMJo23hI/pcS9uV4reej1zIVQjwHC2ssGg4gQ6OhevE1zNp6Xu1E4kW6dYGk4yswUxTMrP3Idq2ldiJRiEiBVsjsjFrH0ciZtx90HA+WtuoGEqKQy637Jt3KlWG6G5w7+ytZOXlqRxIvQq4OVvbnzcRbjIl1YMnZPoxYfVztVKIQkQKtENHn5THlwNf0Ke3C9FJ1oEYHtSMJUeiZF3OjtX1VKuTk8I7LYawtZLxnkbB1LFw/RJa5A6EJA7GxtOLDVtXUTiUKESnQComwsDA8q1di1eCjXPj2Aum6NmpHEqLI+LD1RNZcj6dl9CH4d7/acUQ+239oDoPOLSReq2Vo5lvcwJmRL3lT3kmuWAjjkQKtEAgLCyM4OJiymni+a2GJh31JPvtouNzyL8QLYutcFTOfXgAoOydyMyVL5UQiv+SlxzHy0M9st7UhpIQ36/Pq071OWYL9yqodTRQyUqAVAmPGjKGBRxn+7m1BcOMq7D5wSpadEeJFa/IxejTsjt7CgKlTydTJWLRCR1EwWzeESTE3aJKhsP36e7i72BHazRuNRu7aFMYlBVohcOLkCZw9MknXaklr/T1W1ja0b99e1n4T4kVyqcZPVf0ZWMqNYvbLWbxflqYrdKJ+h1NrqZIHiTcHkactwZRX61DMSqYUFcYnBVoBl5eTg7Wbhu3nc/iqpDdejTujKArh4bL2mxAvWvu6g7DW6/HT32Dt1h1yR2chEn1lO/9GfAWApvVwJn78BpNe8cW7bHGVk4nCSgq0As7s8O983syStONpRC3OY+LEiQQGBhIREUFISIja8YQoUrw8gogwr84niUn0zlrOwr1X1I4kjCAnO51P/xlMz5KO7HavDwEfUsbRhg61SqsdTRRiUqAVZGlx8PdIvqoCy8cNICsjh+HDh5OQkCBrvwmhEseWX9/+x9l/+LRXa+zs7PD395ebdgqw1M1fY6NLx1yBW9W/Alm8XLwA8ikrwDI2hEBWMpTyocfn04iMjCQ9PZ3IyEgpzoRQSzl/ViTW5OXlGTgVS6bTGx/j4uJCcHCwFGkF0dHlOB34jV9jYqkY3YGP12byb0KG2qlEESAFWgG1etscgpJ3sNHWFjr/BFqZHFMIUzHq73jsveywH1Yae6+KbNiwQe6sLoB016NgzYcAzFG6syurJR+1ribznYkXQgq0Akifl8fak1O4ZmHOn45VoVxdtSMJIe5y4dJ1avk4E5CVzVduO9FqtXJndQGTnHSZ4PDXWWRrxgHzOozPDiagsjODWlZVO5ooIuTe4AIocu0MpsReYbaDE+2DFqgdRwjxHx4eHtheM2f6jVNoYteiND8nd1YXJPo8/lzzJpfNYH7xEtyIfwunYjb8/IovZlqZ70y8GFKgFTDpqUm4H/4BGxTqO/emekVftSMJIf4jJCSE4OBgAhNK0r5MEhtWNmfzsRgZg1ZQbB1Hv4tRUNyR35P7k6VxZW5ff0o6WKudTBQhcomzgPlnyee4kshVTSnqvDxM7ThCiAcICgpi5cqVJGidGb4lm3OJ8fi90oMGLdurHU08zum/YPsPaAD7Eh9xIcuf0d288a9YQu1kooiRAq0AiTq5jW/Nd/OhmwtXG3yBlbUMVBXCVAUFBRF55AQj5rfDfnQNKjU/y8SNp9WOJR7h0uWt/LT5Y3IAGrxH0BtDWfleI16uV17taKIIkgKtADmyawx5Gogzd6B+29fVjiOEeAKvt/iOijm59EuLI+HoOs7cSFU7kniAnMxEhv4zmN/srfm5Yk1oFwogPWdCNVKgFRSXd/LmtX2svH6Tj+qNQmsm02oIURCUKl2HNeWDeSktnc/NljJ+wwm1I4n/CFuxgoZeVQkfeIzoEefZsCeAhCxF7ViiiJMCrSDQ58GGLwGoUrsfAXW6qBxICPE0tM0+Ic/KEQ/tv5Q4H8au8/FqRxL/LywsjOCePXHRJhPa0gYrswpsmf0TC5csUzuaKOKkQCsAVq7+irj4E2BdHFp8pXYcIcTTsimBWbNPOGBtRXy5tYxdswNdrl7tVAL48sv3aVXFnPDetsT4f4hNzx+pE9CM36f/rHY0UcRJgWbirsZd5ufEdXQuV4ZNHq+CnbPakYQQzyC3Xn++cSvJQVtzqtnOJEOXq3akIu+f3eM5fyWWWL8SfE8wK/XN+KhNdfr0eEkmFRaqkwLNxB1c+Q0VcnJwytPQpP0IteMIIZ6RuaUdX3q9Ta+UVEbGR+KYfkntSEXbv/spu2MSxUpZcutYDtOzutOuZkk+alVVJhUWJkEKNBMWfe4IHWPWsiDmJl9W+gRbazu1IwkhnkOzBh/xtXNDiufmwPrPQJGB6KqIPw+Le1EjM42PmlQh5nQSWWtGU+XGVjp0aE9ERAQhISFqpxRFnBRoJiwh7HMsNHkcs2lA8zZvqh1HCGEM7ceBmRVc2sasORPYd/GW2omKlFvxZ4j+IwgyE6BMHV7//h9aDPqOMjZ5jBr5DQkJCYSFhdG9e3e1o4oiTgo0E7V040TOmh8nSzGjRPfxascRQhiLkzupjd7nWxcnphyaTLvmDbCzs8Pf31+WgspnGRnxfLC2F33scjnuUhFeW0bVciXZMvULDkUdJD09ncjISCnOhEmQAs0E5ebmsCh6LqEuTowt15AK1X3VjiSEMCKLRh/x56k8jk+/ipNNMm36DMbFxYXg4GAp0vJLXi6ZYQPQ52SgR0O0/xgo5qZ2KiEeSgo0E5R3dBkvpyZSNieP/h1/UjuOEMLIrG1KkPUPNKhmwflXdFi7uDLh16W0bduWsWPHqh2v8NHrYe1gnM//zcwbSRSPDiIkwoq0bLmTVpguKdBMTU4WVtvG0ScllbXV3qJi2RpqJxJC5IN/o2/Rs3E9zLTwndkMhq84QJu2gTK9g5Hl5eo4HvY6HF6EHi2fZ73P2ZwAprzqRzErc7XjCfFQUqCZmgOzIflfcCiLRaNBaqcRQuQTDw8PNl21JteuFE7msVTLnMCvS1bJ9A5GlJer45tlHeibdogIWzsG6wYRodTjp16+NKnmonY8IR5J/nwwIf/euMh3h6fyvqUlNVsMQ2Nho3YkIUQ+CQkJITg4mHYZtYkuZ8XNE7tIO5HOkmUr1I5WOOjzYM2H5CReQrGzZVZeIAf0AYS+5EVnnzJqpxPisaQHzYRMWjeI7XaWfOFairxar6gdRwiRj4KCgli5ciUp2eZEr47HLC2Xif0r0qtroNrRCj59HqwehNnRJYTGJ+Ed3YwDyT34upMnfQMqqZ1OiCciPWgmIubKGT6IicKyhB01KvfH3MJC7UhCiHwWFBREUFAQ6akxmM1ug3XKVVg3BIJmgUajdrwCKS9Xx7aVvWl1ahNozDALmkPxY5UYXdmZPg0rqh1PiCcmBZqJuBr2NfXysuidUoOa7YepHUcI8QLZ2ZeG4NkwrzMcW8Y2nTtx1fvRw7+c2tEKFCUvl+FL27M2N44PHYszoO0kzLy6M9VbQSMFryhg5BKnCTh/ZBf+SREAWHYYjUYrXxYhipyKjaDNt/xja8M3GQuZt2E2p2+kqJ2q4MjLQbP6farEnsVcUbhiH4TesxuAFGeiQJJKwASM3juYn5yKs92hOdXqNFM7jhBCJUrAB6wpVYVb5mZUclzG5wu3y1xdTyIrGRb1hKNLeT05A59L7Vh+MZBTUuCKAkwKNJWt3zKNg9Y6Fha3xzZwqNpxhBAq0mi1jHppCYMy4Kf46wxOnsAXyw+h18ui6g9z7foBRi9sQc7FLWRprBmgG8LevLbMfr0uXmWKqx1PiGcmBZqa9Hran1nMtBuxvKqvTF2vFmonEkKozKF4eQa+tAAzrSVtzA5R6/Qkvg8/rXYskxMWFoZfLQ8qujdgzOjT9PvXjuCsEew1r8f8t+rTvLqr2hGFeC5SoKnp+Aq0N47RVG/J573mqp1GCGEqyviifWkKACeubmDCgACsbGxlQfX/FxYWRnBwMK5Zl3i3rR32duYs+S2GM1di+eOdhjSs7Kx2RCGemxRoKklNSyJz86jbD5p8DHbyA0UIcZfar/CdvjlT5yegc8ylZ68WsqA6oOj1jBo2mHZVzAl/zYrRL7WiZNdfcfWoh92pddQu76h2RCGMQgo0lfy86gO6O+QR7lAKGryndhwhhAla/tc1qvm4MOXN4iyscoDw6V8V6QXVc3OyCF3WkeOXr9Osqjma+u9Q4q2VzOzfik/eepnzZ+VSsCg8pEBTQVpKIpFZUVyzMOd4mZZgaat2JCGECTp9+jTv9v2cN8q1gjwdmqV9aOJfk5Mni+CC6omXyZzfid1pV7AobcXym24oHX4AM3MCqjjzd8QmWcdUFCpSoKngWNj3/HH9Ou/dyuOD7hPVjiOEMFEeHh5sitiM0n0WVGhETlYyv/05CysnBw5cTlA73otzdDlMb4L91UhGxKVRu3FTjhyOJrB9eyZOnEhgYCARERGEhISonVQIo5EC7QVLTojD6/J8bBWF+tU+wtpKes+EEA8WEhLCpk2bCOz8EhPjmuC7QsuV05mU7GbO9N+msONcnNoR81VaagxfLWrJjg0fgC6VSH0NPk8Jxcp3GFN+XUhCQgLDhw8nISGBsLAwunfvrnZkIYxGlnp6wXavHEEHMrikrYhfx7fVjiOEMGF3FlQfO3Ysw0eNxaNGNTp+mMlnZZNpnDGJL+fryHz1Q9p5lVI7qvH9e4Df/3qLtTaw18WZDpfqMyM3iHbeZRkXVAtHW0s+eKu32imFyDcm1YM2bdo03N3dsba2xt/fnx07djx037CwMNq2bYurqysODg4EBASwcePGF5j26V389wTfmm9nUElXrtb7EK2ZmdqRhBAmLigoiMjISNLT0zkYdZh1E4/RtEpnLDR5/Gg+le1LR7JwzyUUpZBMZqvPg+0/wG+B9L8ZTYP0XKyvdWGB+atMfMWfab39cLS1VDulEPnOZAq0pUuX8vHHHxMSEsKhQ4do2rQpHTp0IDo6+oH7b9++nbZt27J+/XoOHjxIy5Yt6dKlC4cOHXrByZ9MWFgYrZo2JXLgKRZ9d42b6SXUjiSEKIA05paYBc1CX28AGRoNR8pvYcPBXsz6e5/a0Z7bwSPz+X5uA5R/RoOSh2XNYPTaqbiWCyZiaHNe8i0r62qKIkOjmMifXQ0aNMDPz4/p06cbtnl6etKtWzfGjRv3RMfw8vKiV69ejBgx4oHPZ2dnk52dbXickpJC+fLluXXrFo6Ojs+V/1HCwsLo2bMn7apaUq+qGeHxFTkYeZrly5cTFBSUb+dVg16vJy4uDldXV7Sy6Ptzk/Y0vkLTporCtohPGXIjApe8PJakWbLVti/jZvzB6dOn8fDwYNiwYS/kZ8xzt2lSNAkRIbTLPEKORsOUW2k0azkGfHqRmp1LMSvzIleYFZrPqYkwlfZMSUmhRIkSJCcn4+Dg8Mh9TWIMmk6n4+DBg3z55Zf3bG/Xrh27d+9+omPo9XpSU1NxcnJ66D7jxo1j5MiR922Pi4tDp9M9XeinMGrUKFr7lCO8WzI5pesyqOtCXnn1VUJDQ2nSpEm+nVcNer2e5ORkFEWRHypGIO1pfIWpTT19v2DShWoU2z+F7XvP0XPZZ7Tyr8brAz/i5MHd9OzZkzlz5tCpU6d8zfG0bfrXX38xadIkzp8/T40yDnxdL5PgGtC3hCNRmnJscP4Wj9KNIe72TRCZ+ZreNBWmz6kpMJX2TE1NfeJ9TaJAi4+PJy8vj5IlS96zvWTJkty4ceOJjvHjjz+Snp7Oyy+//NB9hg0bxtCh/1uQ/E4Pmqura772oJ0/f46ezc3QaMwwbzeSkqVK0bVrV0aMGIGbm1u+nVcNer0ejUaj+l8phYW0p/EVtjZ1cxsIvr0YMLka7aro+DY4kZ+Kb8DXoz95GjOmT5/Om2++ma8ZnqZNw8LCePvtt/Gt607FLg4UP3iLHktyGdOjOtuqfkSyfXU6NaxW6H42Pq3C9jlVm6m0p7W19RPvaxIF2h3/7cJWFOWJurX/+OMPvv32W1avXv3Ib2orKyusrKzu267VavP1C2bnasaEf6Fc51q8+X/t3XtclHW+B/DPcB1FGTQuA6iImYIhrI6ZkNJqysXNLKlDvdrE42WjsI5iu+tlW81tk1eblB5NS1Gz1PTk2LYnQkdRtExXDRMVu0FguxAyKjOC3GZ+548OUyMooI88z8x83q8Xrxf85nma7/Plh31ev+cyA8ZACIHdu3cjMjLSKf/wVCrVbe+pK2E/ped0PfW5A+eqGrBk5sNYEnAG//Zsxn2XXsVFTw22n/4WV5us8PG+vf/cd6inDWYs+9M8JET0hHa6G77oHoDYWD98u6IJL38mkD07EdPi+kPtyRuoACecpzJTQj87896K+K37+/vD3d291WpZVVVVq1W1a23fvh0zZszAjh07MH78+NtZ5k0pOXcckcm+MJ2pxX+/c5kPVSSi2yIiIgJ7z5nx9oS38SB6YcblGlR+V4y7ezdj3WuzsPNoESxWeS45Lis7hL/teAi12ZE4V1KOxH6NyLzcgF9d6Id/GF9GzPhHoar5F9Lvv5PhjOj/KSKgeXl5QafTwWAw2I0bDAbExcVdd79t27Zh2rRp2Lp1622/xuJmXfr4ZRRoa5E5LQpuVjUfqkhEt0XLQ21nzfoLAowPY0p+BAwlFrw4xhPlvQ7itTOPY+3aycAPJ4CuuDesuQH4ejfEuyl4fs8sbL5air97CUQEdcfumjuhnfkF+gxYht2ZE9FUVsiPaSK6hiICGgBkZmZi/fr12LBhA4qLizF37lyUl5cjPT0dwE/Xj02dOtW2/bZt2zB16lQsX74co0aNQmVlJSorK1FTUyPXIbRScvoodOb9UAF4NnOd7VlGx48fZzgjIkm1PNTW9nT9Ogv0O3cifv46FHt3wxV3NyRf+gxYPw54cxRK9/wFf/7by9DpdPDx8YFOp4Ner+/Qe+n1+tb7CYHGqmJszcvAnM1xaMjqD2z9D6i+24snaswYUuuJM74zsOj1d7Dn6Fk89eSTCPh+L/4z9WGeUSBqg2KuQUtNTYXRaMTSpUtRUVGBqKgo5ObmIiwsDABQUVFh90y0t956C83NzcjIyEBGRoZtPC0tDZs2berq8tv02d756Afgy55joRs6Su5yiMjJTZkypc3HanwcnYrCk5sR3uNzoPgfwIVzWPJFCTZvqMZdg30wa2x/fF52GSkpKXhn8zpMfer6n3Ki1+uRkpKCcffHYsbvknH0s5N47LHHsCMtFCn9zXirXyguurujyMOCsCYNPrLEYeulREQExyB5ZD+Mvsv/509HePFFREZG8owCURsU8xw0OZhMJmg0Gly6dEnyuzg//nQT5n+3HAMam/Da6M24K3KkpP99pbJaraiqqkJgYCAvbJUA+yk9l+9pfQ1w5kMETHkG9b7u2P6UDybWXYUQAvFbruKExQOTFvTH+3UeUHl2Bzy7IUtVj6/cLJhV54mMrBMI7GbBwpm9MTs4CIPqG2B+tQQXrwoce6Y3Xtb0x9eNQbh4JR49tPfhgSFaTBneB/49Wt+gRdfn8vNUYkrpZ0vucJjnoDmjurPvQONhQbAIcJlwRkQOQK0BdGmoq34W82fNQdjoYfjnd1/Ao+IkwiOO4jODEc2wQnX55zMW32oDcdxLjckN/8LXFxrx1FhvBDa7IbRRwKe5B+LGjcGf3/sc4vclGHu+AYkebojuo+EF/0S3gAHtdvjhBB779xdIdvPAhd9ukrsaIqJWIiIi8Omhf+JPi5ZCFTcFQghUGBIRcdcPmBbxF2BiGNBUBzRdRdSxAviaf8SX3UPQO2QL3q4KQLf73sOMnmrc4eOFZR/+FgMHDQa8fDD6rp5yHxqRU2BAux0OvgoA6BGdih4DuHpGRMqzaNEipKSkIDExEUlJScjLy8PevQbo9XpMire/HmzOoETb90O1w5CSkoJdyzKQlJSEdXl52Lt3L3Jycrr6EIicGk9sS+zQMT2Kv98HoXIDxsyTuxwioja1uuuzg4//aWu/Dz74ABMnTuyiyolcA1fQJJbzRRZOhAbjqfog/OGOO+Uuh4jouq5312dn92u5AJuIpMMVNAl9feozaJur4SEE4u6dK3c5RERE5KC4giahK3uykHXFiAkNd2P0r5T5yQZERESkfFxBk0jp2WMYfuUgAODO5MUyV0NERESOjAFNInn7FqDGzQ1f9IhH/8gRcpdDREREDowBTQKfnszFmp6VSOobAtUDz8tdDhERETk4XoMmhVMbMaixCT5Cg2HDJshdDRERETk4BrRbZfwOo0v34j5hRcWT6+SuhoiIiJwAT3HeqkPLAWGFalASQu6Kl7saIiIicgIMaLfgxNkC5H7zd1gAIP4PcpdDREREToKnOG9Bzqcv4lBgb+ypC8UbfXRyl0NEREROgitoN6mi7CvE1H6PnhYrxg75ndzlEBERkRPhCtpNKv/oFTxdU4PhDeG4Z/pMucshIiIiJ8IVtJtQXVmOX1V/DADoHv9HmashIiIiZ8MVtJuw7X9/j0QvwCoiMWRUktzlEBERkZPhClon/ftCGba4n0ZKn2AUDZsClRtbSERERNJiuuik+hMbcV/dVfRvFHgkca7c5RAREZET4inOzmi6igFFW7C81gjzg0vg4eEpd0VERETkhLiC1kF6vR666Aj4LPoWupxGGL5Xy10SEREROSkGtA7Q6/VISUlBPYxYOE4N/9ABSHksFXq9Xu7SiIiIyAkxoHXAX//6V0TEhEH1x/44+Gg4/p5/GBMmTMArr7wid2lERETkhBjQOuDcuXMY2acBg5qacI97JNTdNUhKSkJxcbHcpREREZET4k0CHRAWGoTKc+X4YLgFDc+vhBACeXl5iIyMlLs0IiIickIMaB3w9D1emLPVgvH/441Uv+3Iy8uDwWDgNWhERER0W/AUZzs+ObgBd8dcxrbHfNDg5YcXX3wRFy9ehF6vxyOPPCJ3eUREROSEuILWjm3n1qAwKAATHxiCkzvy5S6HiIiIXABX0G7AWnkaI+t+hJ/Fgodj/yB3OUREROQiGNBuwO3wSsy+XIM93YchNpofik5ERERdgwHtei6VAUUfAAC6jZknczFERETkShjQriPnw3n41sMNIvx+IHS43OUQERGRC2FAa8P5yhK8hWI80icYuaGJcpdDRERELoYBrQ1f7l6N0VfrEd4IJI9Nl7scIiIicjF8zMY1GhvqMbJUjwdxEYdjXoKbu7vcJREREZGL4QraNb7M24BAXEQ1/DAi+Wm5yyEiIiIXxID2C1aLBSe+WwuTmwrf9n8SXupucpdERERELogB7Rd27FuB1XcITAoNwcDfPCt3OUREROSieA3aL/Qu+wQD0Yi+CIV/QB+5yyEiIiIXxYDWouocEv71T4yHCqZZO+WuhoiIiFwYT3G2OLIaAOAW8Rv4hUbJXAwRERG5MgY0ACXnz2LfV7tgBYC45+Quh4iIiFwcT3ECeO/gyzAE9sLoOn+s6Xuv3OUQERGRi+MKGoBgUzF6WqyIDkoEVCq5yyEiIiIXxxU0AE+bjEhpckfIk4vlLoWIiIhIWStob775JsLDw6FWq6HT6XDo0KEbbl9QUACdTge1Wo0BAwZg7dq1N/3eVQPToPbuftP7ExEREUlFMQFt+/btmDNnDhYtWoTCwkKMGTMGycnJKC8vb3P70tJSTJw4EWPGjEFhYSEWLlyI559/Hjt3dv4RGSZ0Q9SDs2/1EIiIiIgkoZiAlp2djRkzZmDmzJmIjIzEG2+8gb59+2LNmjVtbr927Vr069cPb7zxBiIjIzFz5kxMnz4dr732Wqffe2PwSPTw7XWrh0BEREQkCUVcg9bY2IgTJ05g/vz5duMJCQk4fPhwm/t8/vnnSEhIsBtLTExETk4Ompqa4Onp2WqfhoYGNDQ02H42mUwAgHH3/ResVuutHgYBsFqtEEKwnxJhP6XHnkqPPZUeeyotpfSzM++viIBWXV0Ni8WCoKAgu/GgoCBUVla2uU9lZWWb2zc3N6O6uhrBwcGt9lm2bBleeumlVuP+PfqiqqrqFo6AWlitVtTU1EAIATc3xSzQOiz2U3rsqfTYU+mxp9JSSj/NZnOHt1VEQGuhuuYRF0KIVmPtbd/WeIsFCxYgMzPT9rPJZELfvn0REBAAPz+/m6yafslqtUKlUiEgIID/qEiA/ZQeeyo99lR67Km0lNJPtVrd4W0VEdD8/f3h7u7earWsqqqq1SpZC61W2+b2Hh4euOOOO9rcx9vbG97e3q3G3dzc+AcgIZVKxZ5KiP2UHnsqPfZUeuyptJTQz868tyJ+615eXtDpdDAYDHbjBoMBcXFxbe4TGxvbavs9e/ZgxIgRbV5/RkREROQoFBHQACAzMxPr16/Hhg0bUFxcjLlz56K8vBzp6ekAfjo9OXXqVNv26enpKCsrQ2ZmJoqLi7Fhwwbk5OTghRdekOsQiIiIiCShiFOcAJCamgqj0YilS5eioqICUVFRyM3NRVhYGACgoqLC7plo4eHhyM3Nxdy5c7F69WqEhIRg5cqVSElJkesQiIiIiCShEi1X1rsgk8kEjUaDS5cu8SYBiVitVlRVVSEwMJDXTUiA/ZQeeyo99lR67Km0lNLPltxRU1MDX1/fG27L3zoRERGRwjCgERERESkMAxoRERGRwjCgERERESkMAxoRERGRwjCgERERESkMAxoRERGRwjCgERERESkMAxoRERGRwijmo57k0PIhCiaTiU9qlojVaoXZbIZarWZPJcB+So89lR57Kj32VFpK6afJZALwc/64EZcOaEajEQBsn/dJREREdLuZzWZoNJobbuPSAa13794AgPLy8nYbRR1jMpnQt29fnD9/vt3PGaP2sZ/SY0+lx55Kjz2VllL6KYSA2WxGSEhIu9u6dEBrWebUaDT8A5CYr68veyoh9lN67Kn02FPpsafSUkI/O7ogxBPbRERERArDgEZERESkMC4d0Ly9vbF48WJ4e3vLXYrTYE+lxX5Kjz2VHnsqPfZUWo7YT5XoyL2eRERERNRlXHoFjYiIiEiJGNCIiIiIFIYBjYiIiEhhGNCIiIiIFIYBjYiIiEhhXDagvfnmmwgPD4darYZOp8OhQ4fkLslhLVmyBCqVyu5Lq9XKXZZDOXjwICZNmoSQkBCoVCp8+OGHdq8LIbBkyRKEhISgW7du+PWvf40zZ87IU6yDaK+n06ZNazVvR40aJU+xDmDZsmW455570LNnTwQGBuLhhx/GV199ZbcN52nndKSnnKeds2bNGkRHR9s+MSA2NhaffPKJ7XVHmqMuGdC2b9+OOXPmYNGiRSgsLMSYMWOQnJyM8vJyuUtzWHfffTcqKipsX0VFRXKX5FBqa2sRExODVatWtfn6q6++iuzsbKxatQrHjh2DVqvFhAkTYDabu7hSx9FeTwEgKSnJbt7m5uZ2YYWOpaCgABkZGThy5AgMBgOam5uRkJCA2tpa2zacp53TkZ4CnKed0adPH2RlZeH48eM4fvw4xo0bh8mTJ9tCmEPNUeGCRo4cKdLT0+3GIiIixPz582WqyLEtXrxYxMTEyF2G0wAgdu3aZfvZarUKrVYrsrKybGP19fVCo9GItWvXylCh47m2p0IIkZaWJiZPnixLPc6gqqpKABAFBQVCCM5TKVzbUyE4T6XQq1cvsX79eoeboy63gtbY2IgTJ04gISHBbjwhIQGHDx+WqSrH98033yAkJATh4eF4/PHHUVJSIndJTqO0tBSVlZV2c9bb2xv3338/5+wtOnDgAAIDAzFo0CDMmjULVVVVcpfkMGpqagAAvXv3BsB5KoVre9qC8/TmWCwWvP/++6itrUVsbKzDzVGXC2jV1dWwWCwICgqyGw8KCkJlZaVMVTm2e++9F5s3b8bu3buxbt06VFZWIi4uDkajUe7SnELLvOSclVZycjK2bNmC/Px8LF++HMeOHcO4cePQ0NAgd2mKJ4RAZmYmRo8ejaioKACcp7eqrZ4CnKc3o6ioCD169IC3tzfS09Oxa9cuDBkyxOHmqIfcBchFpVLZ/SyEaDVGHZOcnGz7fujQoYiNjcWdd96Jd955B5mZmTJW5lw4Z6WVmppq+z4qKgojRoxAWFgYPv74Y0yZMkXGypRv9uzZOHXqFD799NNWr3Ge3pzr9ZTztPMGDx6MkydP4vLly9i5cyfS0tJQUFBge91R5qjLraD5+/vD3d29VVquqqpqlarp5vj4+GDo0KH45ptv5C7FKbTcEcs5e3sFBwcjLCyM87Ydzz33HD766CPs378fffr0sY1znt686/W0LZyn7fPy8sLAgQMxYsQILFu2DDExMVixYoXDzVGXC2heXl7Q6XQwGAx24waDAXFxcTJV5VwaGhpQXFyM4OBguUtxCuHh4dBqtXZztrGxEQUFBZyzEjIajTh//jzn7XUIITB79mzo9Xrk5+cjPDzc7nXO085rr6dt4TztPCEEGhoaHG+OynZ7gozef/994enpKXJycsTZs2fFnDlzhI+Pj/j+++/lLs0hzZs3Txw4cECUlJSII0eOiAcffFD07NmT/ewEs9ksCgsLRWFhoQAgsrOzRWFhoSgrKxNCCJGVlSU0Go3Q6/WiqKhIPPHEEyI4OFiYTCaZK1euG/XUbDaLefPmicOHD4vS0lKxf/9+ERsbK0JDQ9nT63jmmWeERqMRBw4cEBUVFbavuro62zacp53TXk85TztvwYIF4uDBg6K0tFScOnVKLFy4ULi5uYk9e/YIIRxrjrpkQBNCiNWrV4uwsDDh5eUlhg8fbndbM3VOamqqCA4OFp6eniIkJERMmTJFnDlzRu6yHMr+/fsFgFZfaWlpQoifHmGwePFiodVqhbe3t4iPjxdFRUXyFq1wN+ppXV2dSEhIEAEBAcLT01P069dPpKWlifLycrnLVqy2eglAbNy40bYN52nntNdTztPOmz59uu3/7QEBAeKBBx6whTMhHGuOqoQQouvW64iIiIioPS53DRoRERGR0jGgERERESkMAxoRERGRwjCgERERESkMAxoRERGRwjCgERERESkMAxoRERGRwjCgERERESkMAxoRERGRwjCgERF1QFpaGh566CG7sfz8fKhUKixYsMBu/PXXX0dQUBDq6+u7skQiciIMaEREHeDn54eamhq7sezsbHh7e9uNWywWrFy5EhkZGVCr1V1dJhE5CQY0IqIOuDagnTt3DgaDAdOmTbMb1+v1+PHHH/Hss8/KUSYROQkGNCKiDtBoNDCZTLafs7OzkZqaiiFDhtgFtOzsbEydOhX+/v5ylElEToIBjYioA365gnbhwgW89957eOGFF6DRaGzjR44cwdGjRzF37ly7fTdt2oQRI0YgKioKQ4YMwdatW7u8fiJyLAxoROSylixZApVKdcOv48ePA7BfQVu9ejVGjx6N6Oho+Pr62gLa8uXLMWnSJAwePNj2HuvXr8fGjRuRl5eH06dPo6CgABaLpesPlogcikoIIeQugohIDtXV1aiurr7hNv3794darca+ffswfvx4GI1GREZG4t1330VCQgL27duH6dOno6CgAAMHDkR+fj7i4+MBAFeuXEFUVBSOHDkCrVbbFYdERE7CQ+4CiIjk4u/v3+Frxfz8/AAAq1atglarRUJCAgDYTnGuWLECw4YNs4UzANixYwdGjRrFcEZEncaARkTUARqNBsBPzzhbsWKFbdzX1xdmsxk5OTl4++237fY5ffo0oqOju7ROInIOvAaNiKgDWlbQfHx88MQTT9jGNRoNrFYrevXqhUcffdRuHx8fH1it1q4sk4icBAMaEVEH+Pv7QwiBH374AZ6enrbxoKAgCCFQVlYGDw/7kxLJycnYunUrjEYjAKCmpgZbtmzp0rqJyDExoBER3SZxcXHIzMzE2LFjMXToUMTHx/MOTiLqEN7FSURERKQwXEEjIiIiUhgGNCIiIiKFYUAjIiIiUhgGNCIiIiKFYUAjIiIiUhgGNCIiIiKFYUAjIiIiUhgGNCIiIiKFYUAjIiIiUhgGNCIiIiKFYUAjIiIiUpj/A3AwphsDo+l1AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "total time of the notebook 16 s\n" ] } ], "source": [ "roof = {}\n", "for kin in KINEMATICS:\n", " t0 = time.time()\n", " if kin == 'von_karman':\n", " P, W = run_hinged_roof(n=8)\n", " else:\n", " P, W, _ = run_corotational_roof(n=8, kinematics=kin)\n", " roof[kin] = P, W\n", " print('%-24s %d increments, %.1f s' % (kin, P.size - 1, time.time() - t0))\n", "(Pu_ref, _), (Pl_ref, _) = limit_points(TABLE_9A[:, 0], TABLE_9A[:, 1], 15.)\n", "calc = {}\n", "for kin, (P, W) in roof.items():\n", " (Pu, Wu), (Pl, Wl) = limit_points(P, W, 15.)\n", " calc[kin] = compare_with_table_9a(P, W)\n", " print('%-24s upper limit %.5f (%+.2f %%), lower limit %.5f (%+.2f %%), at -W_C = 29.374: %.4f'\n", " % (kin, Pu, 100*(Pu/Pu_ref - 1), Pl, 100*(Pl/Pl_ref - 1), calc[kin][-1]))\n", " assert abs(Pu/Pu_ref - 1) <= 0.02\n", " assert abs(Pl/Pl_ref - 1) <= 0.10\n", "print('Table 9a: upper limit %.4f, lower limit %.4f, at -W_C = 29.374: %.4f'\n", " % (Pu_ref, Pl_ref, TABLE_9A[-1, 0]))\n", "before = TABLE_9A[:, 1] <= 11.3\n", "diff = np.abs(calc['corotational'] - calc['von_karman'])\n", "print('|corotational - von_karman| at the points of Table 9a: %.4f up to the upper '\n", " 'limit point, %.4f along the path' % (diff[before].max(), diff.max()))\n", "assert diff[before].max() <= 0.001\n", "assert diff.max() <= 0.03\n", "P, W = roof['corotational_von_karman']\n", "Pc, Wc = roof['corotational']\n", "assert P.size == Pc.size\n", "print('corotational_von_karman - corotational: %.1e in P/P_max' % np.abs(P - Pc).max())\n", "assert np.abs(P - Pc).max() <= 1e-9\n", "\n", "fig, ax = plt.subplots(figsize=(7, 5))\n", "for kin in KINEMATICS:\n", " ax.plot(roof[kin][1], roof[kin][0], STYLE[kin], lw=1.5, label='8x8 Quad4R, %s' % kin)\n", "ax.plot(TABLE_9A[:, 1], TABLE_9A[:, 0], 'ko', mfc='none', ms=4,\n", " label='Table 9a, 16x16 S4R')\n", "ax.set_xlabel('$-W_C$')\n", "ax.set_ylabel('$P/P_{max}$')\n", "ax.set_xlim(0, 32)\n", "ax.grid(True, alpha=0.3)\n", "ax.legend(fontsize=8)\n", "plt.show()\n", "print('total time of the notebook %.0f s' % (time.time() - T_START))" ] }, { "cell_type": "markdown", "id": "337d0157", "metadata": {}, "source": [ "The rotations of the roof stay small, and the two kinematics agree within\n", "0.001 $P_{max}$ up to the upper limit point, $-W_C \\approx 11$; they then\n", "part, by up to 0.02 $P_{max}$ at the end of Table 9a, $-W_C = 29.4$, where\n", "the deflection is about two thicknesses. On this 8x8 mesh the co-rotational\n", "path is 1.5 % above Table 9a at its last point and the von Kármán one\n", "0.3 % below. Measured in `test_hinged_roof_thick_corotational` with the\n", "16x16 mesh of Table 9a: 0.4 % above and 1.4 % below, i.e. S4R, whose\n", "kinematics are those of finite rotations, follows the co-rotational path\n", "when the meshes are the same. `'corotational_von_karman'` gives the path\n", "of `'corotational'` to round-off, as expected for `Quad4R`.\n", "\n", "Summary\n", "---\n", "\n", "| case | reference | `'von_karman'` | `'corotational'` | `'corotational_von_karman'` |\n", "|---|---|---|---|---|\n", "| 3.1, end shear, 64 degrees | Table 2a, elastica | linear deflection, twice Table 2a at $P_{max}$ | within the tolerance of Table 2a, 0.1 % of the elastica | `Quad4R`: as `'corotational'`; `BeamC`: closer to the elastica |\n", "| 3.2, end moment, $2 \\pi$ | exact circle, Table 3a | never rolls up, $W = \\pi L$ at $M_{max}$ | the inscribed polygon to round-off, full circle | `Quad4R`: as `'corotational'`; `BeamC`: the exact circle within $10^{-6} L$ |\n", "| 3.8, roof, snap-through | Table 9a | limit loads grade A and B | limit loads grade A and B, closer to S4R at large deflections | as `'corotational'` |\n", "\n", "The slit annular plate (Section 3.3) and the hemispherical shell (Section\n", "3.4) of [1], with large rotations of shells, take about 10 s each with the\n", "meshes of the tests, and are run in `tests/test_corotational_benchmarks.py`\n", "only." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.13" } }, "nbformat": 4, "nbformat_minor": 5 }