def calc_linear_matrices(self, combined_load_case=None):
self._rebuild()
msg('Calculating linear matrices... ', level=2)
fk0, fkG0, k0edges = modelDB.get_linear_matrices(self)
model = self.model
a = self.a
b = self.b
m1 = self.m1
n1 = self.n1
laminaprops = self.laminaprops
plyts = self.plyts
stack = self.stack
if stack != []:
lam = laminate.read_stack(stack, plyts=plyts,
laminaprops=laminaprops)
if 'clpt' in model:
if lam is not None:
F = lam.ABD
elif 'fsdt' in model:
if lam is not None:
F = lam.ABDE
F[6:, 6:] *= self.K
if self.force_orthotropic_laminate:
msg('')
msg('Forcing orthotropic laminate...', level=2)
F[0, 2] = 0. # A16
F[1, 2] = 0. # A26
F[2, 0] = 0. # A61
F[2, 1] = 0. # A62
F[0, 5] = 0. # B16
F[5, 0] = 0. # B61
F[1, 5] = 0. # B26
F[5, 1] = 0. # B62
F[3, 2] = 0. # B16
F[2, 3] = 0. # B61
F[4, 2] = 0. # B26
F[2, 4] = 0. # B62
F[3, 5] = 0. # D16
F[4, 5] = 0. # D26
F[5, 3] = 0. # D61
F[5, 4] = 0. # D62
if F.shape[0] == 8:
F[6, 7] = 0. # A45
F[7, 6] = 0. # A54
self.lam = lam
self.F = F
k0 = fk0(a, b, F, m1, n1)
Fx = self.Fx if self.Fx is not None else 0.
Fy = self.Fy if self.Fy is not None else 0.
Fxy = self.Fxy if self.Fxy is not None else 0.
Fyx = self.Fyx if self.Fyx is not None else 0.
if not combined_load_case:
kG0 = fkG0(Fx, Fy, Fxy, Fyx, a, b, m1, n1)
else:
kG0_Fx = fkG0(Fx, 0, 0, 0, a, b, m1, n1)
kG0_Fy = fkG0(0, Fy, 0, 0, a, b, m1, n1)
kG0_Fxy = fkG0(0, 0, Fxy, 0, a, b, m1, n1)
kG0_Fyx = fkG0(0, 0, 0, Fyx, a, b, m1, n1)
# performing checks for the linear stiffness matrices
assert np.any(np.isnan(k0.data)) == False
assert np.any(np.isinf(k0.data)) == False
k0 = csr_matrix(make_symmetric(k0))
if k0edges is not None:
assert np.any((np.isnan(k0edges.data)
| np.isinf(k0edges.data))) == False
k0edges = csr_matrix(make_symmetric(k0edges))
if k0edges is not None:
msg('Applying elastic constraints!', level=3)
#FIXME improve the way to consider the elastic constraints for the
# case of infinity stiffnesses
k0max = np.abs(k0).max()
k0 = k0 + k0edges/np.abs(k0edges).max()*100*k0max
self.k0 = k0
if not combined_load_case:
assert np.any((np.isnan(kG0.data) | np.isinf(kG0.data))) == False
kG0 = csr_matrix(make_symmetric(kG0))
self.kG0 = kG0
else:
assert np.any((np.isnan(kG0_Fx.data)
| np.isinf(kG0_Fx.data))) == False
assert np.any((np.isnan(kG0_Fy.data)
| np.isinf(kG0_Fy.data))) == False
assert np.any((np.isnan(kG0_Fxy.data)
| np.isinf(kG0_Fxy.data))) == False
assert np.any((np.isnan(kG0_Fyx.data)
| np.isinf(kG0_Fyx.data))) == False
kG0_Fx = csr_matrix(make_symmetric(kG0_Fx))
kG0_Fy = csr_matrix(make_symmetric(kG0_Fy))
kG0_Fxy = csr_matrix(make_symmetric(kG0_Fxy))
kG0_Fyx = csr_matrix(make_symmetric(kG0_Fyx))
self.kG0_Fx = kG0_Fx
self.kG0_Fy = kG0_Fy
self.kG0_Fxy = kG0_Fxy
self.kG0_Fyx = kG0_Fyx
#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)
def calc_linear_matrices(self, combined_load_case=None, silent=False,
calc_kG0=True, calc_kA=True, calc_kM=True):
self._rebuild()
msg('Calculating linear matrices... ', level=2, silent=silent)
fk0, fkG0, fkA, fkM, k0edges = modelDB.get_linear_matrices(self)
model = self.model
a = self.a
b = self.b
m1 = self.m1
n1 = self.n1
laminaprops = self.laminaprops
plyts = self.plyts
h = sum(plyts)
stack = self.stack
mu = self.mu
if calc_kA and self.beta is None:
if self.M < 1:
raise ValueError('Mach number must be >= 1')
elif self.M == 1:
self.M = 1.0001
self.beta = self.rho * self.V**2 / (self.M**2 - 1)**0.5
beta = self.beta
if stack != []:
lam = laminate.read_stack(stack, plyts=plyts,
laminaprops=laminaprops)
if 'clpt' in model:
if lam is not None:
F = lam.ABD
elif 'fsdt' in model:
if lam is not None:
F = lam.ABDE
F[6:, 6:] *= self.K
if self.force_orthotropic_laminate:
msg('')
msg('Forcing orthotropic laminate...', level=2)
F[0, 2] = 0. # A16
F[1, 2] = 0. # A26
F[2, 0] = 0. # A61
F[2, 1] = 0. # A62
F[0, 5] = 0. # B16
F[5, 0] = 0. # B61
F[1, 5] = 0. # B26
F[5, 1] = 0. # B62
F[3, 2] = 0. # B16
F[2, 3] = 0. # B61
F[4, 2] = 0. # B26
F[2, 4] = 0. # B62
F[3, 5] = 0. # D16
F[4, 5] = 0. # D26
F[5, 3] = 0. # D61
F[5, 4] = 0. # D62
if F.shape[0] == 8:
F[6, 7] = 0. # A45
F[7, 6] = 0. # A54
self.lam = lam
self.F = F
k0 = fk0(a, b, F, m1, n1)
if calc_kA:
kA = fkA(beta, a, b, m1, n1)
if calc_kM:
kM = fkM(mu, h, a, b, m1, n1)
if calc_kG0:
Fx = self.Fx if self.Fx is not None else 0.
Fy = self.Fy if self.Fy is not None else 0.
Fxy = self.Fxy if self.Fxy is not None else 0.
Fyx = self.Fyx if self.Fyx is not None else 0.
if not combined_load_case:
kG0 = fkG0(Fx, Fy, Fxy, Fyx, a, b, m1, n1)
else:
kG0_Fx = fkG0(Fx, 0, 0, 0, a, b, m1, n1)
kG0_Fy = fkG0(0, Fy, 0, 0, a, b, m1, n1)
kG0_Fxy = fkG0(0, 0, Fxy, 0, a, b, m1, n1)
kG0_Fyx = fkG0(0, 0, 0, Fyx, a, b, m1, n1)
# performing checks for the linear stiffness matrices
assert np.any(np.isnan(k0.data)) == False
assert np.any(np.isnan(k0.data)) == False
if calc_kA:
assert np.any(np.isinf(kA.data)) == False
assert np.any(np.isinf(kA.data)) == False
if calc_kM:
assert np.any(np.isinf(kM.data)) == False
assert np.any(np.isinf(kM.data)) == False
k0 = csr_matrix(make_symmetric(k0))
if calc_kA:
kA = csr_matrix(make_skew_symmetric(kA))
if calc_kM:
kM = csr_matrix(make_symmetric(kM))
if k0edges is not None:
assert np.any((np.isnan(k0edges.data)
| np.isinf(k0edges.data))) == False
k0edges = csr_matrix(make_symmetric(k0edges))
if k0edges is not None:
k0 = k0 + k0edges
self.k0 = k0
if calc_kA:
self.kA = kA
if calc_kM:
self.kM = kM
if calc_kG0:
if not combined_load_case:
assert np.any((np.isnan(kG0.data) | np.isinf(kG0.data))) == False
kG0 = csr_matrix(make_symmetric(kG0))
self.kG0 = kG0
else:
assert np.any((np.isnan(kG0_Fx.data)
| np.isinf(kG0_Fx.data))) == False
assert np.any((np.isnan(kG0_Fy.data)
| np.isinf(kG0_Fy.data))) == False
assert np.any((np.isnan(kG0_Fxy.data)
| np.isinf(kG0_Fxy.data))) == False
assert np.any((np.isnan(kG0_Fyx.data)
| np.isinf(kG0_Fyx.data))) == False
kG0_Fx = csr_matrix(make_symmetric(kG0_Fx))
kG0_Fy = csr_matrix(make_symmetric(kG0_Fy))
kG0_Fxy = csr_matrix(make_symmetric(kG0_Fxy))
kG0_Fyx = csr_matrix(make_symmetric(kG0_Fyx))
self.kG0_Fx = kG0_Fx
self.kG0_Fy = kG0_Fy
self.kG0_Fxy = kG0_Fxy
self.kG0_Fyx = kG0_Fyx
#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_linear_matrices(self, combined_load_case=None, silent=False,
calc_kG0=True, calc_kA=True, calc_kM=True):
self._rebuild()
msg('Calculating linear matrices... ', level=2, silent=silent)
fk0, fkG0, fkAx, fkAy, fcA, fkM, fk0edges, fk0sb, fk0sf, fk0sf2, fkMsb, fkMsf = \
modelDB.get_linear_matrices(self)
model = self.model
a = self.a
b = self.b
r = self.r
m1 = self.m1
n1 = self.n1
laminaprops = self.laminaprops
plyts = self.plyts
h = sum(plyts)
stack = self.stack
mu = self.mu
if calc_kA and self.beta is None:
if self.Mach < 1:
raise ValueError('Mach number must be >= 1')
elif self.Mach == 1:
self.Mach = 1.0001
M = self.Mach
beta = self.rho_air * self.V**2 / (M**2 - 1)**0.5
gamma = beta*1./(2.*r*(M**2 - 1)**0.5)
ainf = self.speed_sound
aeromu = beta/(M*ainf)*(M**2 - 2)/(M**2 - 1)
elif calc_kA and self.beta is not None:
beta = self.beta
gamma = self.gamma if self.gamma is not None else 0.
aeromu = self.aeromu if self.aeromu is not None else 0.
elif not calc_kA:
pass
else:
raise NotImplementedError('check here')
if stack != []:
lam = laminate.read_stack(stack, plyts=plyts,
laminaprops=laminaprops)
if 'clpt' in model:
if lam is not None:
F = lam.ABD
elif 'fsdt' in model:
if lam is not None:
F = lam.ABDE
F[6:, 6:] *= self.K
self.lam = lam
self.F = F
k0 = fk0(a, b, r, F, m1, n1)
if (self.model == 'clpt_donnell_bc1'
or self.model == 'clpt_sanders_bc1'):
k0edges = fk0edges(m1, n1, a, b,
self.kphixBot, self.kphixTop,
self.kphiyLeft, self.kphiyRight)
elif self.model == 'fsdt_donnell_bc1':
k0edges = fk0edges(m1, n1, a, b,
self.kphixBot, self.kphixTop,
self.kphiyBot, self.kphiyTop,
self.kphixLeft, self.kphixRight,
self.kphiyLeft, self.kphiyRight)
else:
raise
if calc_kA:
if self.flow == 'x':
kA = fkAx(beta, gamma, a, b, m1, n1)
elif self.flow == 'y':
kA = fkAy(beta, a, b, m1, n1)
if fcA is None:
cA = None
else:
cA = fcA(aeromu, a, b, m1, n1)
cA = cA*(0+1j)
if calc_kM:
if self.model == 'fsdt_donnell_bc1':
raise NotImplementedError('There is a bug with kM for model %s'
% self.model)
kM = fkM(mu, h, a, b, m1, n1)
if calc_kG0:
Fx = self.Fx if self.Fx is not None else 0.
Fy = self.Fy if self.Fy is not None else 0.
Fxy = self.Fxy if self.Fxy is not None else 0.
Fyx = self.Fyx if self.Fyx is not None else 0.
if not combined_load_case:
kG0 = fkG0(Fx, Fy, Fxy, Fyx, a, b, r, m1, n1)
else:
kG0_Fx = fkG0(Fx, 0, 0, 0, a, b, r, m1, n1)
kG0_Fy = fkG0(0, Fy, 0, 0, a, b, r, m1, n1)
kG0_Fxy = fkG0(0, 0, Fxy, 0, a, b, r, m1, n1)
kG0_Fyx = fkG0(0, 0, 0, Fyx, a, b, r, m1, n1)
# contributions from stiffeners
#TODO summing up coo_matrix objects may be very slow!
for s in self.stiffeners:
if s.blam is not None:
Fsb = s.blam.ABD
k0 += fk0sb(s.ys, s.bb, a, b, r, m1, n1, Fsb)
if s.flange_formulation == 1:
k0 += fk0sf(s.ys, a, b, r, m1, n1, s.Exx, s.Gxy, s.Jxx, s.Iyy)
elif s.flange_formulation == 2:
k0 += fk0sf2(s.bf, s.df, s.ys, a, b, r, m1, n1, s.E1, s.F1,
s.S1, s.Jxx)
if s.blam is not None:
kM += fkMsb(s.mu, s.ys, s.db, s.hb, a, b, m1, n1)
kM += fkMsf(s.mu, s.ys, s.df, s.Asf, a, b, s.Iyy, s.Jxx, m1, n1)
# performing checks for the linear stiffness matrices
assert np.any(np.isnan(k0.data)) == False
assert np.any(np.isinf(k0.data)) == False
if calc_kA:
assert np.any(np.isnan(kA.data)) == False
assert np.any(np.isinf(kA.data)) == False
if cA is not None:
assert np.any(np.isnan(cA.data)) == False
assert np.any(np.isinf(cA.data)) == False
if calc_kM:
assert np.any(np.isnan(kM.data)) == False
assert np.any(np.isinf(kM.data)) == False
k0 = csr_matrix(make_symmetric(k0))
if calc_kA:
kA = csr_matrix(make_skew_symmetric(kA))
if cA is not None:
cA = csr_matrix(make_symmetric(cA))
if calc_kM:
kM = csr_matrix(make_symmetric(kM))
assert np.any(np.isnan(k0edges.data)) == False
assert np.any(np.isinf(k0edges.data)) == False
k0edges = csr_matrix(make_symmetric(k0edges))
k0 = k0 + k0edges
self.k0 = k0
if calc_kA:
self.kA = kA
self.cA = cA
if calc_kM:
self.kM = kM
if calc_kG0:
if not combined_load_case:
assert np.any((np.isnan(kG0.data) | np.isinf(kG0.data))) == False
kG0 = csr_matrix(make_symmetric(kG0))
self.kG0 = kG0
else:
assert np.any((np.isnan(kG0_Fx.data)
| np.isinf(kG0_Fx.data))) == False
assert np.any((np.isnan(kG0_Fy.data)
| np.isinf(kG0_Fy.data))) == False
assert np.any((np.isnan(kG0_Fxy.data)
| np.isinf(kG0_Fxy.data))) == False
assert np.any((np.isnan(kG0_Fyx.data)
| np.isinf(kG0_Fyx.data))) == False
kG0_Fx = csr_matrix(make_symmetric(kG0_Fx))
kG0_Fy = csr_matrix(make_symmetric(kG0_Fy))
kG0_Fxy = csr_matrix(make_symmetric(kG0_Fxy))
kG0_Fyx = csr_matrix(make_symmetric(kG0_Fyx))
self.kG0_Fx = kG0_Fx
self.kG0_Fy = kG0_Fy
self.kG0_Fxy = kG0_Fxy
self.kG0_Fyx = kG0_Fyx
#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)