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 suddenly-applied normal pressure of 100
N/m2.
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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_Test13T.SLDPRT.
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Study Type
|
Three shell studies are created:
| Study Name |
Study Type |
| Modal_Damping |
Linear Dynamics - Transient (modal
damping) |
| Rayleigh_Damping |
Linear Dynamics - Transient (Rayleigh
damping) |
| Static |
Static |
|
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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
|
Suddenly-applied normal pressure load of 100 N/m2 to the
whole face. Horizontal axis is time (sec) and vertical axis is pressure
(N/m2).
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Dynamic Options
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- Number of mode shapes =
16
- Solution time = 1.2
sec
- Time step = 0.002
sec
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Damping
|
-
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
The UZ displacement and bending stress response graphs at
the center of the plate are in agreement with the analytical results. The graph depicts the
UZ displacement time history at the center of the plate. Horizontal axis is time (sec) and
vertical axis is UZ (mm).
| |
Reference |
SOLIDWORKS Simulation with Modal _Damping |
SOLIDWORKS Simulation with Rayleigh_Damping |
| Peak UZ displacement at center |
3.523 mm (t = 0.21 sec) |
3.445 mm (t = 0.21 sec) |
3.457 mm (t = 0.21 sec) |
| Peak bending stress at center |
2.484 N/mm2 |
2.360 N/mm2 |
2.296 N/mm2 |
| Steady-state displacement at center |
1.817 mm |
1.775 mm |
1.775 mm |
Reference
NAFEMS, Publication R0016, The International
Association for the Engineering Analysis Community, "Selected Benchmarks for Forced
Vibration", Test 13T, 1989.