Calculate the peak UZ displacement at the center of a simply-supported
square plate of side 10 m and thickness 0.05 m subjected to a pressure of uniform power spectral
density of (100 N/m2)2 /Hz.
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File Name
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Open drive
letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS
version\samples\Simulation
Examples\Verification\NAFEMS_R0016_Test13R.SLDPRT.
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Study Type
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Linear Dynamics - Random Vibration
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Mesh Type
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\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS Shell mesh, Shell thickness = 0.05 m - Thin shell formulation,
Element size = 0.30 m.
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Material Properties
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Linear elastic isotropic. Modulus of elasticity (E) = 2 x
1011 N/m2, Mass density (ρ) = 8000 Kg/m3, Poisson's
ratio (ν) = 0.3.
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Load
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Pressure over whole plate with uniform power spectral density of (100
N/m2)2 /Hz for frequency range 0 - 10 Hz.
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Dynamic Options
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- Number of mode shapes =
16
- Operating frequency
limits = 0 - 5 Hz
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Damping
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Modal_damping: 2% of critical damping for all 16 modes
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Rayleigh_damping: Mass coefficient a0 = 0.299, Stiffness
coefficient a1 = 1.339 x 10 -3
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Results
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Reference |
SOLIDWORKS Simulation with Modal _Damping |
SOLIDWORKS Simulation with Rayleigh_Damping |
| Peak PSD UZ displacement at center |
2063.20 mm2/Hz at
f = 2.377 Hz
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2065 mm2/Hz at f
= 2.374 Hz
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2063.1 mm2/Hz at
f = 2.374 Hz
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Reference
NAFEMS, Publication R0016, The International
Association for the Engineering Analysis Community, "Selected Benchmarks for Forced
Vibration", Test 13R, 1989.