def test_Lee_and_Lee_table4():
print('Testing Lee and Lee Table 4')
# Lee and Lee. "Vibration analysis of anisotropic plates with eccentric
# stiffeners". Computers & Structures, Vol. 57, No. 1, pp. 99-105,
# 1995.
models = (('model4', 0.00208, 0.0060, 138.99917796302756),
('model5', 0.00260, 0.0075,
175.00597239286196), ('model7', 0.00364, 0.0105, 205.433509024))
for model, hf, bf, value in models:
spb = StiffPanelBay()
spb.model = 'plate_clt_donnell_bardell'
spb.mu = 1.500e3 # plate material density in kg / m^3
spb.laminaprop = (128.e9, 11.e9, 0.25, 4.48e9, 1.53e9, 1.53e9)
spb.stack = [0, -45, +45, 90, 90, +45, -45, 0]
plyt = 0.00013
spb.plyt = plyt
spb.a = 0.5
spb.b = 0.250
spb.m = 14
spb.n = 15
hf = hf
bf = bf
n = int(hf / plyt)
fstack = [0] * (n // 4) + [90] * (n // 4) + [90] * (n //
4) + [0] * (n // 4)
# clamping
spb.w1rx = 0.
spb.w2rx = 0.
spb.w1ry = 0.
spb.w2ry = 0.
spb.add_panel(y1=0, y2=spb.b / 2.)
spb.add_panel(y1=spb.b / 2., y2=spb.b)
spb.add_bladestiff1d(mu=spb.mu,
ys=spb.b / 2.,
bb=0.,
bf=bf,
fstack=fstack,
fplyt=plyt,
flaminaprop=spb.laminaprop)
k0 = spb.calc_k0(silent=True)
M = spb.calc_kM(silent=True)
eigvals, eigvecs = freq(k0, M, silent=True)
herz = eigvals[0].real / 2 / np.pi
assert np.isclose(herz, value, atol=0.001, rtol=0.001)
def test_Lee_and_Lee_table4():
print('Testing Lee and Lee Table 4')
# Lee and Lee. "Vibration analysis of anisotropic plates with eccentric
# stiffeners". Computers & Structures, Vol. 57, No. 1, pp. 99-105,
# 1995.
models = (
('model4', 0.00208, 0.0060, 138.99917796302756),
('model5', 0.00260, 0.0075, 175.00597239286196),
('model7', 0.00364, 0.0105, 205.433509024))
for model, hf, bf, value in models:
spb = StiffPanelBay()
spb.model = 'plate_clt_donnell_bardell'
spb.mu = 1.500e3 # plate material density in kg / m^3
spb.laminaprop = (128.e9, 11.e9, 0.25, 4.48e9, 1.53e9, 1.53e9)
spb.stack = [0, -45, +45, 90, 90, +45, -45, 0]
plyt = 0.00013
spb.plyt = plyt
spb.a = 0.5
spb.b = 0.250
spb.m = 14
spb.n = 15
hf = hf
bf = bf
n = int(hf/plyt)
fstack = [0]*(n//4) + [90]*(n//4) + [90]*(n//4) + [0]*(n//4)
# clamping
spb.w1rx = 0.
spb.w2rx = 0.
spb.w1ry = 0.
spb.w2ry = 0.
spb.add_panel(y1=0, y2=spb.b/2.)
spb.add_panel(y1=spb.b/2., y2=spb.b)
spb.add_bladestiff1d(mu=spb.mu, ys=spb.b/2., bb=0., bf=bf,
fstack=fstack, fplyt=plyt, flaminaprop=spb.laminaprop)
k0 = spb.calc_k0(silent=True)
M = spb.calc_kM(silent=True)
eigvals, eigvecs = freq(k0, M, silent=True)
herz = eigvals[0].real/2/np.pi
assert np.isclose(herz, value, atol=0.001, rtol=0.001)
def test_freq_models():
print('Testing frequency analysis for StiffPanelBay with 2 plates')
# From Table 4 of
# Lee and Lee. "Vibration analysis of anisotropic plates with eccentric
# stiffeners". Computers & Structures, Vol. 57, No. 1, pp. 99-105,
# 1995.
for model in [
'plate_clt_donnell_bardell', 'cpanel_clt_donnell_bardell',
'kpanel_clt_donnell_bardell'
]:
spb = StiffPanelBay()
spb.a = 0.5
spb.b = 0.250
spb.plyt = 0.00013
spb.laminaprop = (128.e9, 11.e9, 0.25, 4.48e9, 1.53e9, 1.53e9)
spb.stack = [0, -45, +45, 90, 90, +45, -45, 0]
spb.model = model
spb.r = 1.e6
spb.alphadeg = 0.
spb.mu = 1.5e3
spb.m = 9
spb.n = 10
# clamping
spb.w1rx = 0.
spb.w2rx = 0.
spb.w1ry = 0.
spb.w2ry = 0.
spb.add_panel(0, spb.b / 2., plyt=spb.plyt)
spb.add_panel(spb.b / 2., spb.b, plyt=spb.plyt)
k0 = spb.calc_k0(silent=True)
M = spb.calc_kM(silent=True)
eigvals, eigvecs = freq(k0, M, silent=True)
ref = [
85.12907802 - 0.j, 134.16422850 - 0.j, 206.77295186 - 0.j,
216.45992453 - 0.j, 252.24546171 - 0.j
]
assert np.allclose(eigvals[:5] / 2 / np.pi, ref, atol=0.1, rtol=0)
def test_freq_models():
print('Testing frequency analysis for StiffPanelBay with 2 plates')
# From Table 4 of
# Lee and Lee. "Vibration analysis of anisotropic plates with eccentric
# stiffeners". Computers & Structures, Vol. 57, No. 1, pp. 99-105,
# 1995.
for model in ['plate_clt_donnell_bardell',
'cpanel_clt_donnell_bardell',
'kpanel_clt_donnell_bardell']:
spb = StiffPanelBay()
spb.a = 0.5
spb.b = 0.250
spb.plyt = 0.00013
spb.laminaprop = (128.e9, 11.e9, 0.25, 4.48e9, 1.53e9, 1.53e9)
spb.stack = [0, -45, +45, 90, 90, +45, -45, 0]
spb.model = model
spb.r = 1.e6
spb.alphadeg = 0.
spb.mu = 1.5e3
spb.m = 9
spb.n = 10
# clamping
spb.w1rx = 0.
spb.w2rx = 0.
spb.w1ry = 0.
spb.w2ry = 0.
spb.add_panel(0, spb.b/2., plyt=spb.plyt)
spb.add_panel(spb.b/2., spb.b, plyt=spb.plyt)
k0 = spb.calc_k0(silent=True)
M = spb.calc_kM(silent=True)
eigvals, eigvecs = freq(k0, M, silent=True)
ref = [85.12907802-0.j, 134.16422850-0.j, 206.77295186-0.j,
216.45992453-0.j, 252.24546171-0.j]
assert np.allclose(eigvals[:5]/2/np.pi, ref, atol=0.1, rtol=0)
def test_Lee_and_Lee_table4():
print('Testing Lee and Lee Table 4')
# Lee and Lee. "Vibration analysis of anisotropic plates with eccentric
# stiffeners". Computers & Structures, Vol. 57, No. 1, pp. 99-105,
# 1995.
models = (
('model4', 0.00208, 0.0060, 138.801067988),
('model5', 0.00260, 0.0075, 174.624343202),
('model7', 0.00364, 0.0105, 205.433509024))
for model, hf, bf, value in models:
spb = StiffPanelBay()
spb.model = 'plate_clt_donnell_bardell'
spb.mu = 1.500e3 # plate material density in kg / m^3
spb.laminaprop = (128.e9, 11.e9, 0.25, 4.48e9, 1.53e9, 1.53e9)
spb.stack = [0, -45, +45, 90, 90, +45, -45, 0]
plyt = 0.00013
spb.plyt = plyt
spb.a = 0.5
spb.b = 0.250
spb.m = 14
spb.n = 15
hf = hf
bf = bf
n = int(hf/plyt)
fstack = [0]*(n//4) + [90]*(n//4) + [90]*(n//4) + [0]*(n//4)
# clamping
spb.w1rx = 0.
spb.w2rx = 0.
spb.w1ry = 0.
spb.w2ry = 0.
spb.add_panel(y1=0, y2=spb.b/2.)
spb.add_panel(y1=spb.b/2., y2=spb.b)
spb.add_bladestiff1d(mu=spb.mu, ys=spb.b/2., bb=0., bf=bf,
fstack=fstack, fplyt=plyt, flaminaprop=spb.laminaprop)
spb.freq(atype=4, silent=True, reduced_dof=False)
assert np.isclose(spb.eigvals[0].real/2/np.pi, value)
spb.n = 22 spb.u1tx = 0. spb.u1rx = 1. spb.u2tx = 0. spb.u2rx = 1. spb.u1ty = 0. spb.u1ry = 1. spb.u2ty = 0. spb.u2ry = 1. spb.v1tx = 0. spb.v1rx = 1. spb.v2tx = 0. spb.v2rx = 1. spb.v1ty = 0. spb.v1ry = 1. spb.v2ty = 0. spb.v2ry = 1. spb.w1tx = 0. spb.w1rx = 1. spb.w2tx = 0. spb.w2rx = 1. spb.w1ty = 0. spb.w1ry = 1. spb.w2ty = 0. spb.w2ry = 1. spb.add_panel(y1=0, y2=spb.b, Nxx=-1.) spb.lb(silent=False)
spb.n = 16 spb.u1tx = 0. spb.u1rx = 1. spb.u2tx = 0. spb.u2rx = 1. spb.u1ty = 0. spb.u1ry = 1. spb.u2ty = 0. spb.u2ry = 1. spb.v1tx = 0. spb.v1rx = 1. spb.v2tx = 0. spb.v2rx = 1. spb.v1ty = 0. spb.v1ry = 1. spb.v2ty = 0. spb.v2ry = 1. spb.w1tx = 0. spb.w1rx = 1. spb.w2tx = 0. spb.w2rx = 1. spb.w1ty = 0. spb.w1ry = 1. spb.w2ty = 0. spb.w2ry = 1. spb.add_panel(y1=0, y2=spb.b, Nxx=-1.) spb.lb(silent=False)
