E05: Rectangular Cantilever Plate Eigenvalues
- Gokhan Alkan (Unlicensed)
- Seda Ozdemir (Unlicensed)
Owned by Gokhan Alkan (Unlicensed)
A rectangular cantilever plate of uniform thickness has its own weight as the sole loading. The plate is 16 inches in span and 1 inch thick. The weight density of the plate is 0.281 lb/in3. The width of the plate is 4 inches. One four inch wide end of the plate is fixed. Determine the fundamental natural frequency.
This is a rectangular plate with one edge fixed. The model used has 4 x 2 mesh size and consists of 15 joints and 8 plate elements.
Modulus of Elasticity = 30,000,000 psi
Poisson's Ratio = 0.30
Shear Modulus = 11,538,461 psi
Weight Density = 0.281 lb/in3
Plate Thickness = 1 inch
Plate Width = 4 inches
Span Length = 16 inches g = 386.4 in/sec2
Tested Features
App
Object Link: https://openbrim.org/objidaq67y2os2b9v9kw5p6wys.project
Library
Object Link: https://openbrim.org/objid8r3swp3cbhc4yemiaux4f7.libobj
Results Comparison
| Output Parameters | Independent (Timoshenko) | Larsa | OpenBrIM | Percent Difference (Larsa vs Independent) | Percent Difference (OpenBrIM vs Independent) |
|---|---|---|---|---|---|
| f1 (Hz) | 128.09 | 128.16 | 126.78 | 0.05% | 1.02% |
Sources
- Timoshenko, S., and Young,D.H., "Vibration Problems in Engineering 7quot;, 3rd Edition, D. Van Nostrand Co.,Inc., New York, 1955, p. 389.
- LARSA 4D