import gc
from . import modelDB
from compmech.panel import Panel
from compmech.logger import msg
from compmech.composite import laminate
from compmech.sparse import finalize_symmetric_matrix
[docs]
class BladeStiff1D(object):
r"""Blade Stiffener using 1D Formulation for Flange
Blade-type of stiffener model using a 1D formulation for the flange and a
2D formulation for the padup (base)::
|| --> flange |
|| |-> stiffener
====== --> padup |
========================= --> panels
Panel1 Panel2
Both the flange and the padup are optional, but one must exist.
Each stiffener has a constant `y` coordinate.
"""
def __init__(self, bay, mu, panel1, panel2, ys, bb, bf, bstack, bplyts,
blaminaprops, fstack, fplyts, flaminaprops):
self.bay = bay
self.panel1 = panel1
self.panel2 = panel2
self.model = 'bladestiff1d_clt_donnell_bardell'
self.mu = mu
self.ys = ys
self.bb = bb
self.hb = 0.
self.bf = bf
self.hf = 0.
self.bstack = bstack
self.bplyts = bplyts
self.blaminaprops = blaminaprops
self.base = None
self.fstack = fstack
self.fplyts = fplyts
self.flaminaprops = flaminaprops
self.flam = None
self.As = None
self.Asb = None
self.Asf = None
self.Jxx = None
self.Iyy = None
self.Fx = None
self._rebuild()
def _rebuild(self):
assert self.panel1.model == self.panel2.model
assert self.panel1.m == self.panel2.m
assert self.panel1.n == self.panel2.n
assert self.panel1.r == self.panel2.r
assert self.panel1.alphadeg == self.panel2.alphadeg
if self.fstack is not None:
self.hf = sum(self.fplyts)
self.Asf = self.bf*self.hf
self.flam = laminate.read_stack(self.fstack, plyts=self.fplyts,
laminaprops=self.flaminaprops)
self.flam.calc_equivalent_modulus()
h = 0.5*sum(self.panel1.plyts) + 0.5*sum(self.panel2.plyts)
hb = 0.
bay = self.bay
if self.bstack is not None:
hb = sum(self.bplyts)
y1 = self.ys - self.bb/2.
y2 = self.ys + self.bb/2.
self.base = Panel(a=bay.a, b=bay.b, r=bay.r, alphadeg=bay.alphadeg,
stack=self.bstack, plyts=self.bplyts,
mu=self.mu, m=bay.m, n=bay.n,
laminaprops=self.blaminaprops, offset=(-h/2.-hb/2.),
u1tx=bay.u1tx, u1rx=bay.u1rx, u2tx=bay.u2tx, u2rx=bay.u2rx,
v1tx=bay.v1tx, v1rx=bay.v1rx, v2tx=bay.v2tx, v2rx=bay.v2rx,
w1tx=bay.w1tx, w1rx=bay.w1rx, w2tx=bay.w2tx, w2rx=bay.w2rx,
u1ty=bay.u1ty, u1ry=bay.u1ry, u2ty=bay.u2ty, u2ry=bay.u2ry,
v1ty=bay.v1ty, v1ry=bay.v1ry, v2ty=bay.v2ty, v2ry=bay.v2ry,
w1ty=bay.w1ty, w1ry=bay.w1ry, w2ty=bay.w2ty, w2ry=bay.w2ry,
y1=y1, y2=y2)
self.Asb = self.bb*hb
#TODO check offset effect on curved panels
self.dbf = self.bf/2. + hb + h/2.
self.Iyy = self.hf*self.bf**3/12.
self.Jxx = self.hf*self.bf**3/12. + self.bf*self.hf**3/12.
Asb = self.Asb if self.Asb is not None else 0.
Asf = self.Asf if self.Asf is not None else 0.
self.As = Asb + Asf
if self.fstack is not None:
self.E1 = 0
#E3 = 0
self.S1 = 0
yply = self.flam.plies[0].t/2.
for i, ply in enumerate(self.flam.plies):
if i > 0:
yply += self.flam.plies[i-1].t/2. + self.flam.plies[i].t/2.
q = ply.QL
self.E1 += ply.t*(q[0,0] - q[0,1]**2/q[1,1])
#E3 += ply.t*(q[2,2] - q[1,2]**2/q[1,1])
self.S1 += -yply*ply.t*(q[0,2] - q[0,1]*q[1,2]/q[1,1])
self.F1 = self.bf**2/12.*self.E1
[docs]
def calc_k0(self, size=None, row0=0, col0=0, silent=False, finalize=True):
"""Calculate the linear constitutive stiffness matrix
"""
self._rebuild()
msg('Calculating k0... ', level=2, silent=silent)
k0 = 0.
if self.base is not None:
k0 += self.base.calc_k0(size=size, row0=row0, col0=col0,
silent=True, finalize=False)
if self.flam is not None:
mod = modelDB.db[self.model]['matrices']
bay = self.bay
k0 += mod.fk0f(self.ys, bay.a, bay.b, self.bf, self.dbf, self.E1, self.F1,
self.S1, self.Jxx, bay.m, bay.n,
bay.u1tx, bay.u1rx, bay.u2tx, bay.u2rx,
bay.w1tx, bay.w1rx, bay.w2tx, bay.w2rx,
bay.u1ty, bay.u1ry, bay.u2ty, bay.u2ry,
bay.w1ty, bay.w1ry, bay.w2ty, bay.w2ry,
size=size, row0=row0, col0=col0)
if finalize:
k0 = finalize_symmetric_matrix(k0)
self.k0 = k0
#NOTE forcing Python garbage collector to clean the memory
# it DOES make a difference! There is a memory leak not
# identified, probably in the csr_matrix process
gc.collect()
msg('finished!', level=2, silent=silent)
[docs]
def calc_kG0(self, size=None, row0=0, col0=0, silent=False, finalize=True,
c=None):
"""Calculate the linear geometric stiffness matrix
"""
#TODO
if c is not None:
raise NotImplementedError('numerical kG0 not implemented')
self._rebuild()
msg('Calculating kG0... ', level=2, silent=silent)
kG0 = 0.
if self.base is not None:
# TODO include kG0 for padup
# now it is assumed that all the load goes to the flange
pass
if self.flam is not None:
Fx = self.Fx if self.Fx is not None else 0.
mod = modelDB.db[self.model]['matrices']
bay = self.bay
kG0 += mod.fkG0f(self.ys, Fx, bay.a, bay.b, self.bf, bay.m, bay.n,
bay.w1tx, bay.w1rx, bay.w2tx, bay.w2rx,
bay.w1ty, bay.w1ry, bay.w2ty, bay.w2ry,
size, row0, col0)
if finalize:
kG0 = finalize_symmetric_matrix(kG0)
self.kG0 = kG0
#NOTE forcing Python garbage collector to clean the memory
# it DOES make a difference! There is a memory leak not
# identified, probably in the csr_matrix process
gc.collect()
msg('finished!', level=2, silent=silent)
[docs]
def calc_kM(self, size=None, row0=0, col0=0, silent=False, finalize=True):
"""Calculate the mass matrix
"""
self._rebuild()
msg('Calculating kM... ', level=2, silent=silent)
mod = modelDB.db[self.model]['matrices']
kM = 0.
if self.base is not None:
kM += self.base.calc_kM(size=size, row0=row0, col0=col0, silent=silent, finalize=False)
if self.flam is not None:
bay = self.bay
h = 0.5*sum(self.panel1.plyts) + 0.5*sum(self.panel2.plyts)
kM += mod.fkMf(self.ys, self.mu, h, self.hb, self.hf, bay.a, bay.b,
self.bf, self.dbf, bay.m, bay.n,
bay.u1tx, bay.u1rx, bay.u2tx, bay.u2rx,
bay.v1tx, bay.v1rx, bay.v2tx, bay.v2rx,
bay.w1tx, bay.w1rx, bay.w2tx, bay.w2rx,
bay.u1ty, bay.u1ry, bay.u2ty, bay.u2ry,
bay.v1ty, bay.v1ry, bay.v2ty, bay.v2ry,
bay.w1ty, bay.w1ry, bay.w2ty, bay.w2ry,
size=size, row0=row0, col0=col0)
if finalize:
kM = finalize_symmetric_matrix(kM)
self.kM = kM
#NOTE forcing Python garbage collector to clean the memory
# it DOES make a difference! There is a memory leak not
# identified, probably in the csr_matrix process
gc.collect()
msg('finished!', level=2, silent=silent)