Please use this identifier to cite or link to this item: https://doi.org/10.1007/BF00370066
Title: A numerical model based on orthogonal plate functions for vibration of ring supported elliptical plates
Authors: Lam, K.Y. 
Liew, K.M.
Issue Date: Mar-1992
Source: Lam, K.Y.,Liew, K.M. (1992-03). A numerical model based on orthogonal plate functions for vibration of ring supported elliptical plates. Computational Mechanics 9 (2) : 113-120. ScholarBank@NUS Repository. https://doi.org/10.1007/BF00370066
Abstract: An accurate and computationally efficient numerical method is proposed for vibration analysis of thin elliptical plates lying on a circular or an elliptical ring support. A set of orthogonal two-dimensional plate functions generated through the Gram-Schmidt recurrence formula is used as the admissible functions in the Rayleigh-Ritz approach. Natural frequencies and mode shapes are obtained by minimizing the functional with respect to the unknown coefficients. Several numerical examples are solved and the obtained results are carefully examined by convergence tests and compared with available results in the literature. Close agreement is achieved in all cases. © 1992 Springer-Verlag.
Source Title: Computational Mechanics
URI: http://scholarbank.nus.edu.sg/handle/10635/54667
ISSN: 01787675
DOI: 10.1007/BF00370066
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