{ "cells": [ { "cell_type": "markdown", "id": "palestinian-motor", "metadata": {}, "source": [ "Tutorial: Lightweight optimisation using a gradient-based smeared approach\n", "==\n", "Date: 4 February 2026\n", "\n", "Author: Saullo G. P. Castro\n", "\n", "Cite this tutorial as:\n", "\n", "Castro, SGP. Methods for analysis and design of composites (Version 0.8.4) [Computer software]. 2024. https://doi.org/10.5281/zenodo.2871782\n" ] }, { "cell_type": "markdown", "id": "military-zealand", "metadata": {}, "source": [ "Installing required modules\n", "--" ] }, { "cell_type": "code", "execution_count": 2, "id": "separate-resort", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[33mDEPRECATION: Loading egg at /Users/saullogiovanip/miniconda3/lib/python3.13/site-packages/panels-0.5.0-py3.13-macosx-11.1-arm64.egg is deprecated. pip 25.1 will enforce this behaviour change. A possible replacement is to use pip for package installation. Discussion can be found at https://github.com/pypa/pip/issues/12330\u001b[0m\u001b[33m\n", "\u001b[0m\u001b[33mDEPRECATION: Loading egg at /Users/saullogiovanip/miniconda3/lib/python3.13/site-packages/tuduam-2026.3-py3.13.egg is deprecated. pip 25.1 will enforce this behaviour change. A possible replacement is to use pip for package installation. Discussion can be found at https://github.com/pypa/pip/issues/12330\u001b[0m\u001b[33m\n", "\u001b[0m" ] } ], "source": [ "!python -m pip install numpy scipy > tmp.txt" ] }, { "cell_type": "markdown", "id": "returning-value", "metadata": {}, "source": [ "References\n", "--\n", "\n", "Riche, R. Le, and Haftka, R. T., 1993, “Optimization of Laminate Stacking Sequence for Buckling Load Maximization by Genetic Algorithm,” AIAA J., 31(5), pp. 951–956. https://arc.aiaa.org/doi/10.2514/3.11710" ] }, { "cell_type": "markdown", "id": "imposed-sample", "metadata": {}, "source": [ "\n", "Laminate plate geometry and applied loading:\n", "---" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "digital-roommate", "metadata": {}, "source": [ "![image.png](attachment:image.png)" ] }, { "cell_type": "markdown", "id": "disturbed-riverside", "metadata": {}, "source": [ "Constraint - Critical buckling load $\\lambda_b$, calculated analytically with:\n", "---\n", "\n", "From Riche and Haftka's paper:" ] }, { "cell_type": "markdown", "id": "5382d750-5609-4954-ab74-2ec9b6f0ad37", "metadata": {}, "source": [ "$$\\frac{\\lambda_b(m, n)}{\\pi^2} = \\frac{\\left[D_{11} (m/a)^4 + 2 (D_{12} + 2 D_{66}) (m/a)^2 (n/b)^2 + D_{22} (n/b)^4\\right]}{((m/a)^2 Nxx + (n/b)^2 Nyy)}\\ (1)$$" ] }, { "cell_type": "markdown", "id": "theoretical-pontiac", "metadata": {}, "source": [ "Constraint - strain failure\n", "---\n", "This constraint requires that all strain components remain below an allowable limit, assuming that $\\gamma_{xy}$ will be zero for this bi-axial loading, given that the laminate is balanced.\n" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "endangered-milwaukee", "metadata": {}, "source": [ "The principal strains on each layer can be calculated solving first the laminate bi-axial strains $\\epsilon_x$ and $\\epsilon_y$; and later the in-plane strains of each layer: $\\epsilon_1^i$, $\\epsilon_2^i$ and $\\gamma_{12}^i$:\n", "\n", "![image.png](attachment:image.png)" ] }, { "cell_type": "code", "execution_count": 3, "id": "optional-accountability", "metadata": {}, "outputs": [], "source": [ "# NOTE allowable strains from the reference paper\n", "epsilon_1_allowable = 0.008\n", "epsilon_2_allowable = 0.029\n", "gamma_12_allowable = 0.015" ] }, { "attachments": { "image-2.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "median-canada", "metadata": {}, "source": [ "Optimization description\n", "--\n", "\n", "Take as reference the first design case of Table 3\n", "\n", "![image-2.png](attachment:image-2.png)\n" ] }, { "cell_type": "markdown", "id": "piano-marina", "metadata": {}, "source": [ "Note that the design is currently constrained by the failure index.\n" ] }, { "cell_type": "markdown", "id": "macro-excellence", "metadata": {}, "source": [ "Note that the number of plies here has been pre-defined to 48 plies, and with the ghost layer approach, we will be able to remove plies." ] }, { "cell_type": "markdown", "id": "several-february", "metadata": {}, "source": [ "We will set a target design load by means of a target lambda that will multiply the bi-axial loading state." ] }, { "cell_type": "markdown", "id": "toxic-proposition", "metadata": {}, "source": [ "Defining the reference case\n", "---\n", "\n", "Using the first stacking sequence of the Table 3 above:\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "horizontal-third", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "# Table 03, first row\n", "a_value = 20. # [in]\n", "b_value = 5. # [in]\n", "load_Nxx_unit = 1. # [lb]\n", "load_Nyy_unit = 0.125 # [lb]\n", "stack_ref_half = [90]*2 + [+45,-45]*4 + [0]*4 + [+45, -45] + [0]*4 + [+45, -45] + [0]*2 \n", "stack_ref = stack_ref_half + stack_ref_half[::-1] # symmetry condition\n", "\n", "assert len(stack_ref) == 48\n", "num_variables = len(stack_ref) // 4 # NOTE independent angles for a symmetric and balanced laminate\n", "\n", "# NOTE: make sure that you understand this\n", "num_variables = 2*num_variables # NOTE twice as many variables needed for the ghost layer approach\n", "\n", "# material properties\n", "E11 = 127.55e9 # [Pa]\n", "E22 = 13.03e9\n", "nu12 = 0.3\n", "G12 = 6.41e9\n", "G13 = 6.41e9\n", "G23 = 6.41e9\n", "laminaprop = (E11, E22, nu12, G12, G13, G23)\n", "ply_thickness = 0.005*25.4/1000 # [m]\n", "h = ply_thickness*len(stack_ref)\n" ] }, { "cell_type": "code", "execution_count": 5, "id": "845bc31a-979a-4e08-8992-61a16e46b077", "metadata": {}, "outputs": [], "source": [ "def get_Q_matrix(theta_deg):\n", " \"\"\"\n", " Calculate the transformed reduced stiffness matrix Q_bar for a given angle.\n", " \"\"\"\n", " nu21 = nu12 * E22 / E11\n", " denom = 1 - nu12 * nu21\n", " Q11 = E11 / denom\n", " Q22 = E22 / denom\n", " Q12 = nu12 * E22 / denom\n", " Q66 = G12\n", "\n", " c = np.cos(np.radians(theta_deg))\n", " s = np.sin(np.radians(theta_deg))\n", "\n", " c2 = c**2; s2 = s**2; c4 = c**4; s4 = s**4\n", "\n", " Q_bar_11 = Q11*c4 + 2*(Q12 + 2*Q66)*s2*c2 + Q22*s4\n", " Q_bar_22 = Q11*s4 + 2*(Q12 + 2*Q66)*s2*c2 + Q22*c4\n", " Q_bar_12 = (Q11 + Q22 - 4*Q66)*s2*c2 + Q12*(s4 + c4)\n", " Q_bar_66 = (Q11 + Q22 - 2*Q12 - 2*Q66)*s2*c2 + Q66*(s4 + c4)\n", "\n", " Q_bar_44 = G23 * c2 + G13 * s2\n", " Q_bar_55 = G13 * c2 + G23 * s2\n", " Q_bar_45 = (G13 - G23) * c * s\n", "\n", " Q_bar = np.array([\n", " [Q_bar_11, Q_bar_12, 0, 0, 0, 0],\n", " [Q_bar_12, Q_bar_22, 0, 0, 0, 0],\n", " [0, 0, 0, 0, 0, 0],\n", " [0, 0, 0, Q_bar_44, Q_bar_45, 0],\n", " [0, 0, 0, Q_bar_45, Q_bar_55, 0],\n", " [0, 0, 0, 0, 0, Q_bar_66]\n", " ])\n", " return Q_bar\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "cubic-transport", "metadata": {}, "outputs": [], "source": [ "class SmearedProp:\n", " def __init__(self, h0, h45, h90):\n", " # Pre-calculate Base Q matrices\n", " self.angles = [0, 45, 90]\n", " self.Q0 = get_Q_matrix(0)\n", " self.Q90 = get_Q_matrix(90)\n", " self.Q45p = get_Q_matrix(45)\n", " self.Q45m = get_Q_matrix(-45)\n", " self.Q45_sum = self.Q45p + self.Q45m\n", " self.h0 = h0\n", " self.h45 = h45\n", " self.h90 = h90\n", " self.h = h0 + 2*h45 + h90\n", " self.A = h0*self.Q0 + h45*self.Q45_sum + h90*self.Q90\n", " self.D = (self.h**2 / 12.0) * self.A\n" ] }, { "cell_type": "markdown", "id": "traditional-joshua", "metadata": {}, "source": [ "Analytical equation to calculate buckling\n", "---" ] }, { "cell_type": "code", "execution_count": 7, "id": "polished-remains", "metadata": {}, "outputs": [], "source": [ "from numpy import pi\n", "\n", "def calc_buckling_analytical(prop):\n", " a = a_value*25.4/1000 # [m] along x\n", " b = b_value*25.4/1000 # [m] along y\n", " Nxx = load_Nxx_unit*4.448222/(25.4/1000) #[N/m]\n", " Nyy = load_Nyy_unit*4.448222/(25.4/1000) #[N/m]\n", " \n", " D11 = prop.D[0, 0]\n", " D12 = prop.D[0, 1]\n", " D22 = prop.D[1, 1]\n", " D66 = prop.D[5, 5]\n", " lambda_b_min = 1e30\n", " for m in range(1, 21):\n", " for n in range(1, 21):\n", " lambda_b = (pi**2*(D11*(m/a)**4\n", " + 2*(D12 + 2*D66)*(m/a)**2*(n/b)**2\n", " + D22*(n/b)**4)/((m/a)**2*Nxx + (n/b)**2*Nyy)\n", " )\n", " lambda_b_min = min(lambda_b_min, lambda_b)\n", " return lambda_b_min\n", "\n" ] }, { "cell_type": "markdown", "id": "33f696c6-a6b5-44a3-9c93-1408f4cce3f9", "metadata": {}, "source": [ "Analytical buckling gradients\n", "---" ] }, { "cell_type": "code", "execution_count": 8, "id": "a3b9f995-061b-4007-bdb2-c6b6d3dd3700", "metadata": {}, "outputs": [], "source": [ "def calc_buckling_analytical_jac(prop):\n", " a = a_value*25.4/1000 # [m] along x\n", " b = b_value*25.4/1000 # [m] along y\n", " Nxx = load_Nxx_unit*4.448222/(25.4/1000) #[N/m]\n", " Nyy = load_Nyy_unit*4.448222/(25.4/1000) #[N/m]\n", " \n", " D11 = prop.D[0, 0]\n", " D12 = prop.D[0, 1]\n", " D22 = prop.D[1, 1]\n", " D66 = prop.D[5, 5]\n", "\n", " lambda_b_min = 1e30\n", " dlambda_b_dh0 = None\n", " dlambda_b_dh45 = None\n", " dlambda_b_dh90 = None\n", " \n", " for m in range(1, 21):\n", " for n in range(1, 21):\n", " lambda_b = (pi**2*(D11*(m/a)**4\n", " + 2*(D12 + 2*D66)*(m/a)**2*(n/b)**2\n", " + D22*(n/b)**4)/((m/a)**2*Nxx + (n/b)**2*Nyy)\n", " )\n", " lambdas = [lambda_b_min, lambda_b]\n", " argmin = np.argmin(lambdas)\n", " lambda_b_min = lambdas[argmin]\n", "\n", " den = (m/a**2)*Nxx + (n/b)**2*Nyy\n", " dlambda_b_dD11 = pi**2*(m/a)**4/den\n", " dlambda_b_dD12 = 2*pi**2*(m/a)**2*(n/b)**2/den\n", " dlambda_b_dD22 = pi**2*(n/b)**4/den\n", " dlambda_b_dD66 = 4*pi**2*(m/a)**2*(n/b)**2/den\n", "\n", " dD_dh0 = prop.h/6*prop.A + prop.h**2/12*prop.Q0\n", " dD_dh45 = prop.h/6*prop.A + prop.h**2/12*(prop.Q45_sum/2) # NOTE using average Q45\n", " dD_dh90 = prop.h/6*prop.A + prop.h**2/12*prop.Q90\n", " \n", " dlambda_b_dh0_new = (dlambda_b_dD11*dD_dh0[0, 0]\n", " + dlambda_b_dD12*dD_dh0[0, 1]\n", " + dlambda_b_dD22*dD_dh0[1, 1]\n", " + dlambda_b_dD66*dD_dh0[5, 5])\n", " dlambda_b_dh45_new = (dlambda_b_dD11*dD_dh45[0, 0]\n", " + dlambda_b_dD12*dD_dh45[0, 1]\n", " + dlambda_b_dD22*dD_dh45[1, 1]\n", " + dlambda_b_dD66*dD_dh45[5, 5])\n", " dlambda_b_dh90_new = (dlambda_b_dD11*dD_dh90[0, 0]\n", " + dlambda_b_dD12*dD_dh90[0, 1]\n", " + dlambda_b_dD22*dD_dh90[1, 1]\n", " + dlambda_b_dD66*dD_dh90[5, 5])\n", " \n", " dlambda_b_dh0 = [dlambda_b_dh0, dlambda_b_dh0_new][argmin]\n", " dlambda_b_dh45 = [dlambda_b_dh45, dlambda_b_dh45_new][argmin]\n", " dlambda_b_dh90 = [dlambda_b_dh90, dlambda_b_dh90_new][argmin]\n", "\n", " dlambda_b_dhtheta = [dlambda_b_dh0, dlambda_b_dh45, dlambda_b_dh90]\n", " \n", " return dlambda_b_dhtheta" ] }, { "attachments": { "3829407d-544d-4508-b33d-0449d0f8006a.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "periodic-formation", "metadata": {}, "source": [ "Verifying constraint functions\n", "---\n", "Compare with column 2 of Table 3 below, first row.\n", "\n", "![image.png](attachment:3829407d-544d-4508-b33d-0449d0f8006a.png)" ] }, { "cell_type": "code", "execution_count": 9, "id": "chubby-antigua", "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "lambda_cb_ref_analytical 12181.43642260919\n" ] } ], "source": [ "h0 = ply_thickness*np.sum(np.isclose(stack_ref, 0))\n", "h45 = ply_thickness*np.sum(np.isclose(stack_ref, 45))\n", "h90 = ply_thickness*np.sum(np.isclose(stack_ref, 90))\n", "prop_ref = SmearedProp(*[h0, h45, h90])\n", " \n", "lambda_cb_ref_analytical = calc_buckling_analytical(prop_ref)\n", "print('lambda_cb_ref_analytical', lambda_cb_ref_analytical)\n" ] }, { "cell_type": "markdown", "id": "christian-throw", "metadata": {}, "source": [ "Defining design load\n", "---" ] }, { "cell_type": "code", "execution_count": 10, "id": "executive-serial", "metadata": {}, "outputs": [], "source": [ "target_lambda = 10000" ] }, { "cell_type": "markdown", "id": "dangerous-recovery", "metadata": {}, "source": [ "Defining objective function\n", "---" ] }, { "cell_type": "code", "execution_count": 11, "id": "subject-intensity", "metadata": { "scrolled": true }, "outputs": [], "source": [ "def volume(x): # NOTE to be minimized\n", " a = a_value*25.4/1000 # [m] along x\n", " b = b_value*25.4/1000 # [m] along y\n", " h = np.sum(x)\n", " return h*a*b # [m^3]" ] }, { "cell_type": "markdown", "id": "sought-episode", "metadata": {}, "source": [ "Defining constraint functions\n", "---" ] }, { "cell_type": "code", "execution_count": 12, "id": "casual-knitting", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "80362.30809229247\n" ] } ], "source": [ "def calc_constr_buckling(x): # NOTE feasible when >= 0\n", " prop = SmearedProp(*x)\n", " lambda_b = calc_buckling_analytical(prop)\n", " return lambda_b/target_lambda - 1\n", "\n", "def calc_constr_buckling_jac(x):\n", " prop = SmearedProp(*x)\n", " dlambda_b_dh = calc_buckling_analytical_jac(prop)\n", " return np.asarray(dlambda_b_dh)/target_lambda\n", "\n", "test = np.asarray(2*[2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1])\n", "h0 = np.sum(test==0)*ply_thickness\n", "h45 = np.sum(test==1)*ply_thickness\n", "h90 = np.sum(test==2)*ply_thickness\n", "\n", "prop = SmearedProp(*[h0, h45, h90])\n", "lambda_cb = calc_buckling_analytical(prop)\n", "print(lambda_cb)" ] }, { "cell_type": "markdown", "id": "addressed-sullivan", "metadata": {}, "source": [ "Optimisation using SLSQP\n", "---" ] }, { "cell_type": "markdown", "id": "normal-hamilton", "metadata": {}, "source": [ "Here we define the optimization problem:" ] }, { "cell_type": "code", "execution_count": 13, "id": "dominican-bridge", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Starting SLSQP Optimization with Scipy, gradient=False\n", "\n", "Optimization terminated successfully (Exit mode 0)\n", " Current function value: 0.0001768155136217004\n", " Iterations: 20\n", " Function evaluations: 78\n", " Gradient evaluations: 18\n", " Best solution found: [0.000127 0.00248665 0.000127 ]\n", " Checking best solution\n", " volume 0.0001768155136217004\n", " ms_buckling_opt 4.7346633280653805e-09\n", " lambda_cb_opt_analytical 10000.000047346633\n", "\n", "Starting SLSQP Optimization with Scipy, gradient=True\n", "\n", "Optimization terminated successfully (Exit mode 0)\n", " Current function value: 0.0001768156003628693\n", " Iterations: 11\n", " Function evaluations: 41\n", " Gradient evaluations: 10\n", " Best solution found: [0.000127 0.00248665 0.000127 ]\n", " Checking best solution\n", " volume 0.0001768156003628693\n", " ms_buckling_opt 1.5564034587800535e-06\n", " lambda_cb_opt_analytical 10000.015564034587\n" ] } ], "source": [ "from scipy.optimize import minimize\n", "from scipy.optimize import Bounds\n", "\n", "n_var = 3\n", "h_min = ply_thickness\n", "h_max = 48*ply_thickness\n", "x0 = np.ones(n_var) * (h_min + h_max) / 2.0\n", "bounds = Bounds([h_min]*n_var, [h_max]*n_var)\n", "\n", "# NOTE inequality constraints: fun(x) >= 0\n", "\n", "for use_gradient in [False, True]:\n", " \n", " if use_gradient:\n", " constraints = [{'type': 'ineq', 'fun': calc_constr_buckling, 'jac': calc_constr_buckling_jac},\n", " ]\n", " else:\n", " constraints = [{'type': 'ineq', 'fun': calc_constr_buckling},\n", " ]\n", " print()\n", " print(\"Starting SLSQP Optimization with Scipy, gradient=%s\" % str(use_gradient))\n", " print()\n", " \n", " res = minimize(\n", " volume,\n", " x0,\n", " method='SLSQP',\n", " bounds=bounds,\n", " constraints=constraints,\n", " options={'ftol': 1e-9, 'disp': True, 'maxiter': 200},\n", " jac=\"2-point\"\n", " )\n", " \n", " print(\" Best solution found: %s\" % res.x)\n", "\n", " print(\" Checking best solution\")\n", " prop_opt = SmearedProp(*res.x)\n", " ms_buckling_opt = calc_buckling_analytical(prop_opt)/target_lambda - 1\n", " print(' volume', volume(res.x))\n", " print(' ms_buckling_opt', ms_buckling_opt)\n", " \n", " lambda_cb_opt_analytical = calc_buckling_analytical(prop_opt)\n", " print(' lambda_cb_opt_analytical', lambda_cb_opt_analytical)" ] }, { "cell_type": "code", "execution_count": null, "id": "97f8d519-27a7-4f45-9b14-17ebc302a551", "metadata": {}, "outputs": [], "source": [] } ], "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": "3.13.2" } }, "nbformat": 4, "nbformat_minor": 5 }