def test_kT():
mns = [[4, 4], [4, 5], [4, 6], [5, 5], [5, 6], [6, 6],
[8, 9], [9, 8]]
for m, n in mns:
for model in ['plate_clt_donnell_bardell',
'cpanel_clt_donnell_bardell']:
p = Panel()
p.model = model
p.w1tx = 0
p.u1tx = 1
p.u1ty = 1
p.u2ty = 1
p.a = 2.
p.b = 0.5
p.r = 10
p.stack = [0, 90, -45, +45]
p.plyt = 1e-3*0.125
p.laminaprop = (142.5e9, 8.7e9, 0.28, 5.1e9, 5.1e9, 5.1e9)
p.m = m
p.n = n
p.nx = m
p.ny = n
P = 1000.
npts = 5
p.forces_inc = []
for y in np.linspace(0, p.b, npts):
p.forces_inc.append([0., y, P/(npts-1.), 0, 0])
p.forces_inc[0][2] /= 2.
p.forces_inc[-1][2] /= 2.
k0 = p.calc_k0(silent=True)
kT = p.calc_kT(c=np.zeros(p.get_size()), silent=True)
error = np.abs(kT-k0).sum()
assert error < 1.e-7
def test_kT():
mns = [[4, 4], [4, 5], [4, 6], [5, 5], [5, 6], [6, 6], [8, 9], [9, 8]]
for m, n in mns:
for model in [
'plate_clt_donnell_bardell', 'cpanel_clt_donnell_bardell'
]:
p = Panel()
p.model = model
p.w1tx = 0
p.u1tx = 1
p.u1ty = 1
p.u2ty = 1
p.a = 2.
p.b = 0.5
p.r = 10
p.stack = [0, 90, -45, +45]
p.plyt = 1e-3 * 0.125
p.laminaprop = (142.5e9, 8.7e9, 0.28, 5.1e9, 5.1e9, 5.1e9)
p.m = m
p.n = n
p.nx = m
p.ny = n
P = 1000.
npts = 5
p.forces_inc = []
for y in np.linspace(0, p.b, npts):
p.forces_inc.append([0., y, P / (npts - 1.), 0, 0])
p.forces_inc[0][2] /= 2.
p.forces_inc[-1][2] /= 2.
k0 = p.calc_k0(silent=True)
kT = p.calc_kT(c=np.zeros(p.get_size()), silent=True)
error = np.abs(kT - k0).sum()
assert error < 1.e-7
class TStiff2D(object):
r"""T Stiffener using 2D Formulation for the Base and Flange
T-type of stiffener model using a 2D formulation for the flange and a
2D formulation for the base::
|| --> flange |
|| |-> stiffener
====== --> base |
========================= --> panels
Panel1 Panel2
The difference between this model and :class:'.BladeStiff2D' is that here
the stiffener's base has independent field variables allowing the
simulation of skin-stiffener debounding effects.
Each stiffener has a constant `y_s` coordinate.
"""
def __init__(self,
bay,
mu,
panel1,
panel2,
ys,
bb,
bf,
bstack,
bplyts,
blaminaprops,
fstack,
fplyts,
flaminaprops,
model='tstiff2d_clt_donnell_bardell',
mb=15,
nb=12,
mf=15,
nf=12):
print(
'\n\nWARNING - TStiff2D no longer recommended!\n'
' There is a numerically unstable way to compute the\n'
' connection between the skin and stiffener\'s base, it is\n'
' recommended to use panel.assembly instead.\n'
' Module panel.assembly allows stable ways to perform\n'
' connection among panels, and avoids using sliced\n'
' integration intervals that were causing trouble in\n'
' TStiff2D\n\n')
self.bay = bay
self.panel1 = panel1
self.panel2 = panel2
self.model = model
if bstack is None:
raise ValueError('Base laminate must be defined!')
self.ys = ys
y1 = ys - bb / 2.
y2 = ys + bb / 2.
self.base = Panel(a=bay.a,
b=bb,
r=bay.r,
alphadeg=bay.alphadeg,
stack=bstack,
plyts=bplyts,
laminaprops=blaminaprops,
mu=mu,
m=mb,
n=nb,
offset=0.,
u1tx=1,
u1rx=0,
u2tx=1,
u2rx=0,
v1tx=1,
v1rx=0,
v2tx=1,
v2rx=0,
w1tx=1,
w1rx=1,
w2tx=1,
w2rx=1,
u1ty=1,
u1ry=0,
u2ty=1,
u2ry=0,
v1ty=1,
v1ry=0,
v2ty=1,
v2ry=0,
w1ty=1,
w1ry=1,
w2ty=1,
w2ry=1,
y1=y1,
y2=y2)
self.base._rebuild()
if fstack is None:
raise ValueError('Flange laminate must be defined!')
self.flange = Panel(a=bay.a,
b=bf,
model='plate_clt_donnell_bardell',
stack=fstack,
plyts=fplyts,
laminaprops=flaminaprops,
mu=mu,
m=mf,
n=nf,
offset=0.,
u1tx=0,
u1rx=0,
u2tx=0,
u2rx=0,
v1tx=0,
v1rx=0,
v2tx=0,
v2rx=0,
w1tx=0,
w1rx=1,
w2tx=0,
w2rx=1,
u1ty=1,
u1ry=0,
u2ty=1,
u2ry=0,
v1ty=1,
v1ry=0,
v2ty=1,
v2ry=0,
w1ty=1,
w1ry=1,
w2ty=1,
w2ry=1)
self.flange._rebuild()
self.eta_conn_base = 0.
self.eta_conn_flange = -1.
self.k0 = None
self.kM = None
self.kG0 = None
self._rebuild()
def _rebuild(self):
assert self.panel1.model == self.panel2.model
assert self.panel1.r == self.panel2.r
assert self.panel1.alphadeg == self.panel2.alphadeg
a = None
b = None
if self.panel1 is not None:
a = self.panel1.a
b = self.panel1.b
elif self.panel2 is not None:
a = self.panel2.a
b = self.panel2.b
if a is not None and b is not None:
if a / b > 10.:
if self.base.m <= 15 and self.flange.m <= 15:
raise RuntimeError(
'For a/b > 10. use base.m and flange.m > 15')
else:
warn(
'For a/b > 10. be sure to check convergence for base.m and flange.m'
)
self.flange.lam = laminate.read_stack(
self.flange.stack,
plyts=self.flange.plyts,
laminaprops=self.flange.laminaprops)
#NOTE below offset is not needed since it is already considered in the
# connectivity matrices, using dpb
h = 0.5 * sum(self.panel1.plyts) + 0.5 * sum(self.panel2.plyts)
hb = sum(self.base.plyts)
self.dpb = h / 2. + hb / 2.
self.base.lam = laminate.read_stack(self.base.stack,
plyts=self.base.plyts,
laminaprops=self.base.laminaprops,
offset=0.)
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)
# NOTE
# row0 and col0 define where the stiffener's base matrix starts
# rowf and colf define where the stiffener's flange matrix starts
rowf = row0 + self.base.get_size()
colf = col0 + self.base.get_size()
k0 = 0.
k0 += self.base.calc_k0(size=size,
row0=row0,
col0=col0,
silent=True,
finalize=False)
k0 += self.flange.calc_k0(size=size,
row0=rowf,
col0=colf,
silent=True,
finalize=False)
# connectivity panel-base
conn = stiffmDB.db[self.model]['connections']
ktpb, krpb = calc_kt_kr(self.panel1, self.base, 'bot-top')
ktpb = min(1.e7, ktpb)
#TODO remove from Cython the capability to run with debonding defect
y1 = self.ys - self.base.b / 2.
y2 = self.ys + self.base.b / 2.
bay = self.bay
k0 += conn.fkCppy1y2(y1, y2, ktpb, bay.a, bay.b, self.dpb, 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, 0, 0)
k0 += conn.fkCpby1y2(
y1, y2, ktpb, bay.a, bay.b, self.dpb, bay.m, bay.n, self.base.m,
self.base.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, self.base.u1tx, self.base.u1rx, self.base.u2tx,
self.base.u2rx, self.base.v1tx, self.base.v1rx, self.base.v2tx,
self.base.v2rx, self.base.w1tx, self.base.w1rx, self.base.w2tx,
self.base.w2rx, self.base.u1ty, self.base.u1ry, self.base.u2ty,
self.base.u2ry, self.base.v1ty, self.base.v1ry, self.base.v2ty,
self.base.v2ry, self.base.w1ty, self.base.w1ry, self.base.w2ty,
self.base.w2ry, size, 0, col0)
k0 += conn.fkCbbpby1y2(y1, y2, ktpb, bay.a, bay.b, self.base.m,
self.base.n, self.base.u1tx, self.base.u1rx,
self.base.u2tx, self.base.u2rx, self.base.v1tx,
self.base.v1rx, self.base.v2tx, self.base.v2rx,
self.base.w1tx, self.base.w1rx, self.base.w2tx,
self.base.w2rx, self.base.u1ty, self.base.u1ry,
self.base.u2ty, self.base.u2ry, self.base.v1ty,
self.base.v1ry, self.base.v2ty, self.base.v2ry,
self.base.w1ty, self.base.w1ry, self.base.w2ty,
self.base.w2ry, size, row0, col0)
# connectivity base-flange
ktbf, krbf = calc_kt_kr(self.base, self.flange, 'ycte')
ycte1 = (self.eta_conn_base + 1) / 2. * self.base.b
ycte2 = (self.eta_conn_flange + 1) / 2. * self.flange.b
k0 += fkCBFycte11(ktbf, krbf, self.base, ycte1, size, row0, col0)
k0 += fkCBFycte12(ktbf, krbf, self.base, self.flange, ycte1, ycte2,
size, row0, colf)
k0 += fkCBFycte22(ktbf, krbf, self.base, self.flange, ycte2, size,
rowf, colf)
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)
def calc_kG0(self,
size=None,
row0=0,
col0=0,
silent=False,
finalize=True,
c=None,
NLgeom=False):
"""Calculate the linear geometric stiffness matrix
See :meth:`.Panel.calc_k0` for details on each parameter.
"""
self._rebuild()
if c is None:
msg('Calculating kG0... ', level=2, silent=silent)
else:
msg('Calculating kG... ', level=2, silent=silent)
# NOTE:
# - row0 and col0 define where the stiffener's base matrix starts
# - rowf and colf define where the stiffener's flange matrix starts
rowf = row0 + self.base.get_size()
colf = col0 + self.base.get_size()
kG0 = 0.
kG0 += self.base.calc_kG0(c=c,
size=size,
row0=row0,
col0=col0,
silent=True,
finalize=False,
NLgeom=NLgeom)
kG0 += self.flange.calc_kG0(c=c,
size=size,
row0=rowf,
col0=colf,
silent=True,
finalize=False,
NLgeom=NLgeom)
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)
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)
rowf = row0 + self.base.get_size()
colf = col0 + self.base.get_size()
kM = 0.
kM += self.base.calc_kM(size=size,
row0=row0,
col0=col0,
silent=True,
finalize=False)
kM += self.flange.calc_kM(size=size,
row0=rowf,
col0=colf,
silent=True,
finalize=False)
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)
class TStiff2D(object):
r"""T Stiffener using 2D Formulation for the Base and Flange
T-type of stiffener model using a 2D formulation for the flange and a
2D formulation for the base::
|| --> flange |
|| |-> stiffener
====== --> base |
========================= --> panels
Panel1 Panel2
The difference between this model and :class:'.BladeStiff2D' is that here
the stiffener's base has independent field variables allowing the
simulation of skin-stiffener debounding effects.
Each stiffener has a constant `y_s` coordinate.
"""
def __init__(self, bay, mu, panel1, panel2, ys, bb, bf, bstack, bplyts,
blaminaprops, fstack, fplyts, flaminaprops,
model='tstiff2d_clt_donnell_bardell', mb=15, nb=12, mf=15, nf=12):
print('\n\nWARNING - TStiff2D no longer recommended!\n'
' There is a numerically unstable way to compute the\n'
' connection between the skin and stiffener\'s base, it is\n'
' recommended to use panel.assembly instead.\n'
' Module panel.assembly allows stable ways to perform\n'
' connection among panels, and avoids using sliced\n'
' integration intervals that were causing trouble in\n'
' TStiff2D\n\n')
self.bay = bay
self.panel1 = panel1
self.panel2 = panel2
self.model = model
if bstack is None:
raise ValueError('Base laminate must be defined!')
self.ys = ys
y1 = ys - bb/2.
y2 = ys + bb/2.
self.base = Panel(a=bay.a, b=bb, r=bay.r, alphadeg=bay.alphadeg,
stack=bstack, plyts=bplyts, laminaprops=blaminaprops,
mu=mu, m=mb, n=nb, offset=0.,
u1tx=1, u1rx=0, u2tx=1, u2rx=0,
v1tx=1, v1rx=0, v2tx=1, v2rx=0,
w1tx=1, w1rx=1, w2tx=1, w2rx=1,
u1ty=1, u1ry=0, u2ty=1, u2ry=0,
v1ty=1, v1ry=0, v2ty=1, v2ry=0,
w1ty=1, w1ry=1, w2ty=1, w2ry=1,
y1=y1, y2=y2)
self.base._rebuild()
if fstack is None:
raise ValueError('Flange laminate must be defined!')
self.flange = Panel(a=bay.a, b=bf, model='plate_clt_donnell_bardell',
stack=fstack, plyts=fplyts, laminaprops=flaminaprops,
mu=mu, m=mf, n=nf, offset=0.,
u1tx=0, u1rx=0, u2tx=0, u2rx=0,
v1tx=0, v1rx=0, v2tx=0, v2rx=0,
w1tx=0, w1rx=1, w2tx=0, w2rx=1,
u1ty=1, u1ry=0, u2ty=1, u2ry=0,
v1ty=1, v1ry=0, v2ty=1, v2ry=0,
w1ty=1, w1ry=1, w2ty=1, w2ry=1)
self.flange._rebuild()
self.eta_conn_base = 0.
self.eta_conn_flange = -1.
self.k0 = None
self.kM = None
self.kG0 = None
self._rebuild()
def _rebuild(self):
assert self.panel1.model == self.panel2.model
assert self.panel1.r == self.panel2.r
assert self.panel1.alphadeg == self.panel2.alphadeg
a = None
b = None
if self.panel1 is not None:
a = self.panel1.a
b = self.panel1.b
elif self.panel2 is not None:
a = self.panel2.a
b = self.panel2.b
if a is not None and b is not None:
if a / b > 10.:
if self.base.m <= 15 and self.flange.m <= 15:
raise RuntimeError('For a/b > 10. use base.m and flange.m > 15')
else:
warn('For a/b > 10. be sure to check convergence for base.m and flange.m')
self.flange.lam = laminate.read_stack(self.flange.stack,
plyts=self.flange.plyts, laminaprops=self.flange.laminaprops)
#NOTE below offset is not needed since it is already considered in the
# connectivity matrices, using dpb
h = 0.5*sum(self.panel1.plyts) + 0.5*sum(self.panel2.plyts)
hb = sum(self.base.plyts)
self.dpb = h/2. + hb/2.
self.base.lam = laminate.read_stack(self.base.stack,
plyts=self.base.plyts, laminaprops=self.base.laminaprops,
offset=0.)
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)
# NOTE
# row0 and col0 define where the stiffener's base matrix starts
# rowf and colf define where the stiffener's flange matrix starts
rowf = row0 + self.base.get_size()
colf = col0 + self.base.get_size()
k0 = 0.
k0 += self.base.calc_k0(size=size, row0=row0, col0=col0, silent=True, finalize=False)
k0 += self.flange.calc_k0(size=size, row0=rowf, col0=colf, silent=True, finalize=False)
# connectivity panel-base
conn = stiffmDB.db[self.model]['connections']
ktpb, krpb = calc_kt_kr(self.panel1, self.base, 'bot-top')
ktpb = min(1.e7, ktpb)
#TODO remove from Cython the capability to run with debonding defect
y1 = self.ys - self.base.b/2.
y2 = self.ys + self.base.b/2.
bay = self.bay
k0 += conn.fkCppy1y2(y1, y2,
ktpb, bay.a, bay.b, self.dpb, 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, 0, 0)
k0 += conn.fkCpby1y2(y1, y2,
ktpb, bay.a, bay.b, self.dpb,
bay.m, bay.n, self.base.m, self.base.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,
self.base.u1tx, self.base.u1rx, self.base.u2tx, self.base.u2rx,
self.base.v1tx, self.base.v1rx, self.base.v2tx, self.base.v2rx,
self.base.w1tx, self.base.w1rx, self.base.w2tx, self.base.w2rx,
self.base.u1ty, self.base.u1ry, self.base.u2ty, self.base.u2ry,
self.base.v1ty, self.base.v1ry, self.base.v2ty, self.base.v2ry,
self.base.w1ty, self.base.w1ry, self.base.w2ty, self.base.w2ry,
size, 0, col0)
k0 += conn.fkCbbpby1y2(y1, y2,
ktpb, bay.a, bay.b, self.base.m, self.base.n,
self.base.u1tx, self.base.u1rx, self.base.u2tx, self.base.u2rx,
self.base.v1tx, self.base.v1rx, self.base.v2tx, self.base.v2rx,
self.base.w1tx, self.base.w1rx, self.base.w2tx, self.base.w2rx,
self.base.u1ty, self.base.u1ry, self.base.u2ty, self.base.u2ry,
self.base.v1ty, self.base.v1ry, self.base.v2ty, self.base.v2ry,
self.base.w1ty, self.base.w1ry, self.base.w2ty, self.base.w2ry,
size, row0, col0)
# connectivity base-flange
ktbf, krbf = calc_kt_kr(self.base, self.flange, 'ycte')
ycte1 = (self.eta_conn_base + 1)/2. * self.base.b
ycte2 = (self.eta_conn_flange + 1)/2. * self.flange.b
k0 += fkCBFycte11(ktbf, krbf, self.base, ycte1, size, row0, col0)
k0 += fkCBFycte12(ktbf, krbf, self.base, self.flange, ycte1, ycte2, size, row0, colf)
k0 += fkCBFycte22(ktbf, krbf, self.base, self.flange, ycte2, size, rowf, colf)
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)
def calc_kG0(self, size=None, row0=0, col0=0, silent=False, finalize=True,
c=None, NLgeom=False):
"""Calculate the linear geometric stiffness matrix
See :meth:`.Panel.calc_k0` for details on each parameter.
"""
self._rebuild()
if c is None:
msg('Calculating kG0... ', level=2, silent=silent)
else:
msg('Calculating kG... ', level=2, silent=silent)
# NOTE:
# - row0 and col0 define where the stiffener's base matrix starts
# - rowf and colf define where the stiffener's flange matrix starts
rowf = row0 + self.base.get_size()
colf = col0 + self.base.get_size()
kG0 = 0.
kG0 += self.base.calc_kG0(c=c, size=size, row0=row0, col0=col0, silent=True,
finalize=False, NLgeom=NLgeom)
kG0 += self.flange.calc_kG0(c=c, size=size, row0=rowf, col0=colf,
silent=True, finalize=False, NLgeom=NLgeom)
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)
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)
rowf = row0 + self.base.get_size()
colf = col0 + self.base.get_size()
kM = 0.
kM += self.base.calc_kM(size=size, row0=row0, col0=col0, silent=True,
finalize=False)
kM += self.flange.calc_kM(size=size, row0=rowf, col0=colf, silent=True,
finalize=False)
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)
