Calculate the peak UZ displacement at the center of a simply-supported
square plate of side 10 m and thickness 1.0 m subjected to a pressure of uniform power spectral
density of (10 6N/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_Test21R.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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Shell mesh, shell thickness = 1.0 m - Thick shell formulation,
Element size = 30 cm.
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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
1012 (N/m2)2 /Hz for frequency range 0 - 80 Hz.
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Dynamic Options
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- Number of mode shapes =
16
- Operating frequency
limits = 0 - 80 Hz
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Damping
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- Modal_damping: 2% of critical damping for
all 16 modes
- Rayleigh_damping: Mass coefficient
a0 = 5.772, Stiffness coefficient a1 = 6.929 x 10
-5
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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 |
3401.8 mm2/Hz at f
= 45.90 Hz
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3599 mm2/Hz at f =
46.25 Hz
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3600 mm2/Hz at f =
46.25 Hz
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Reference
NAFEMS, Publication R0016, The International
Association for the Engineering Analysis Community, "Selected Benchmarks for Forced
Vibration", Test 21R, 1989.