Calculate the peak UZ
displacement and bending stress (SY or SX) at the center of a simply-supported square plate of
side 10 m and thickness 0.05 m subjected to a steady-state harmonic pressure.
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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_Test13H.SLDPRT.
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Study Type
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Three shell studies are created:
| Study Name |
Study Type |
| Modal_Damping |
Linear Dynamics - Harmonic (modal
damping) |
| Rayleigh_Damping |
Linear Dynamics - Harmonic (Rayleigh
damping) |
| Frequency |
Frequency |
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Mesh Type
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Shell mesh for all three studies. Shell thickness = 0.05 m - Thin
shell formulation.
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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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A harmonic pressure sweep is applied on the whole plate.
Horizontal axis is frequency (Hz) and vertical axis is maximum pressure
(N/m2). F = Fo sin ωt; Fo = 100 N/m 2; ω = 2 π
f ; f = 0 to 10 Hz.  |
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Harmonic Options
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- Number of mode shapes =
16
- Operating frequency
limits = 0 - 10 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 = 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 UZ displacement at center |
45.42 mm at f = 2.377
Hz
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45.17 mm at f = 2.384
Hz
|
45.36 mm at f = 2.383
Hz
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| Peak SY bending stress at center |
35.08 N/mm2 at f =
2.377 Hz
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32.33 N/mm2 at f =
2.384 Hz
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32.38 N/mm2 at f =
2.383 Hz
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Reference
NAFEMS, Publication R0016, The International
Association for the Engineering Analysis Community, "Selected Benchmarks for Forced
Vibration", Test 13H, 1989.