Finite element vibration analysis of rectangular membrane
Author(s)
Author(s)
Chen, S. H.
Lin, W. J.
Date Issued
2010
Publisher
American Institute of Physics
Related Publication(s)
Proceedings of the 2nd International Symposium on Computational Mechanics and the 12th International Conference on the Enhancement and Promotion of Computational Methods in Engineering and Science
Volume
1233
Start page
1612
End page
1617
Abstract
Some pre‐tensioned 4‐node rectangular elements and 8‐node triangular elements are constructed for the free vibration analysis of membranes by finite element. The shape functions are given to derive the element stiffness and mass matrices in accordance with the minimum potential energy principle. Two typical examples show that the calculation by the 4‐node rectangular element is very close to the theoretical solution, and 8‐node rectangular element has higher accuracy than the 4‐node rectangular element. For dense grid, the result is almost consistent with the theoretical solution.
SFU Affiliated Publication
No
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