F-04 (Cantilever Plate Vibration) |
  
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F-04 (Cantilever Plate Vibration) |
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Objective
To verify the behavior of plate bending vibration
Problem Description
The 24 x 24 in cantilever plate [Ref 1] shown below vibrates under its own weight.
Material properties: E = 2.95e+007 psi, ν = 0.20, density = 0.28356 lb/in3
Plate thickness: t =1 in
Finite Element Model
361 shell elements (19 x 19 mesh)
Model type: 2D Plate Bending
Results
The mode frequencies are given by [Ref 1].
Unit: mode frequency – Hz
Mode Frequency |
ENERCALC 3D |
[Ref 1] |
|
MITC4 Thick Plate |
Kirchhoff Thin Plate |
||
Mode 1 |
0.0176 |
0.0175 |
0.01790 |
Mode 2 |
0.0070 |
0.0069 |
0.00732 |
Mode 3 |
0.0028 |
0.0028 |
0.00292 |
Mode 4 |
0.0023 |
0.0022 |
0.00228 |
Mode 5 |
0.0019 |
0.0019 |
0.00201 |
Comments
The vibration frequencies given by ENERCALC 3D are very close to the referenced values.
Reference
[1]. Harris, Crede “Shock and Vibration Handbook”, McGraw-Hill, Inc, 1976
