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
periodic pressure load defined with respect to time.
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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_Test21P.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) |
| Frequency |
Frequency |
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Mesh Type
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Shell mesh for all three studies. Shell thickness = 1.0 m - Thick
shell formulation. Element size is 60 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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Steady state periodic load F = F0 (sin (ωt) - sin (3 ωt))
over the whole plate where: (a) F0 = 10e6 N/m2, (b) ω =
2 π f, (c) f = 20 Hz, and duration of loading = 15 sec.
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Dynamic Options
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- Number of mode shapes =
16
- Solution time = 9
sec
- 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 steady-state UZ displacement and bending stress response graphs at the
center of the plate are in agreement with the analytical results.
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Reference |
SOLIDWORKS Simulation with Modal _Damping |
SOLIDWORKS Simulation with Rayleigh_Damping |
| Steady-state UZ displacement at center |
4.929 mm |
5 mm |
5 mm |
| Steady-state SY bending stress at center |
67.67 N/mm2 |
68.53 N/mm2 |
69.03 N/mm2
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Reference
NAFEMS, Publication R0016, The
International Association for the Engineering Analysis Community, "Selected Benchmarks for
Forced Vibration," Test 21P, 1989.