Determine the frequencies of a simply supported thick square plate. The
plate is 10.0 m x 10.0 m and its thickness is 1.0 m. All dimensions are in m.
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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_Freq_Test21.SLDPRT.
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Mesh Type
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Shell mesh. Shell thickness is 1.0 m. Thick shell formulation. Use the
standard mesh size.
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Material Properties
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- 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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Restraints
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- Ux = Uy = Rz = 0 at all
nodes
- Uz = 0 along all
edges
- Rx = 0 along edges x = 0
and x =10 m
- Ry = 0 along edges y = 0
and y =10 m
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Results
| Frequency |
Theory (Hz) |
SOLIDWORKS Simulation
(Hz) |
Mode Shape |
| 1 |
45.897 |
45.931 |
 |
| 2 and 3 |
109.44 |
110.8 |
 |
| 4 |
167.89 |
170.73 |
 |
| 5 |
204.51 |
209.5 |
 |
| 6 |
204.51 |
209.5 |
 |
| 7 and 8 |
256.50 |
263.11 |
 |
| 9 and 10 |
336.62 |
331.82 |
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Reference
NAFEMS, Publication R0015, The International Association for the Engineering
Analysis Community, "Selected Benchmarks for Natural Frequency Analysis," Issue 2, Test
21(a),1987.