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 1.0 m subjected to a suddenly-applied normal pressure of 106
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_Test21T.SLDPRT.
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Study Type
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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 = 1.0 m - Thick
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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Suddenly-applied normal pressure load of 106
N/m2 to the whole face.
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Dynamic Options
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- Number of mode shapes =
16
- Time step = 0.001
sec
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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
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 |
4.524 mm (t = 0.01 sec) |
4.59 mm (t = 0.01 sec) |
4.53 mm (t = 0.21 sec) |
| Peak bending stress at center |
62.11 N/mm2 |
62.44 N/mm2 |
58.3 N/mm2 |
| Steady-state displacement at center |
2.333 mm |
2.336 mm |
2.315 mm |
Reference
NAFEMS, Publication R0016, The International Association for the
Engineering Analysis Community, "Selected Benchmarks for Forced Vibration", Test 21T,
1989.