A numerical model based on orthogonal plate functions for vibration of ring supported elliptical plates

K. Y. Lam; K. M. Liew

doi:10.1007/BF00370066

Author(s)

K. Y. Lam
K. M. Liew

Detail(s)

Original language	English
Pages (from-to)	113-120
Journal / Publication	Computational Mechanics
Volume	9
Issue number	2
Publication status	Published - Mar 1992
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1007/BF00370066 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-0000594096&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(6ffdf492-4746-4fe6-925c-f18f49b13ecd).html

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.

Citation Format(s)

[ RIS ] [ BibTeX ]

A numerical model based on orthogonal plate functions for vibration of ring supported elliptical plates. / Lam, K. Y.; Liew, K. M.
In: Computational Mechanics, Vol. 9, No. 2, 03.1992, p. 113-120.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Lam, KY & Liew, KM 1992, 'A numerical model based on orthogonal plate functions for vibration of ring supported elliptical plates', Computational Mechanics, vol. 9, no. 2, pp. 113-120. https://doi.org/10.1007/BF00370066

Lam, K. Y., & Liew, K. M. (1992). A numerical model based on orthogonal plate functions for vibration of ring supported elliptical plates. Computational Mechanics, 9(2), 113-120. https://doi.org/10.1007/BF00370066

Lam KY, Liew KM. A numerical model based on orthogonal plate functions for vibration of ring supported elliptical plates. Computational Mechanics. 1992 Mar;9(2):113-120. doi: 10.1007/BF00370066

Lam, K. Y. ; Liew, K. M. / A numerical model based on orthogonal plate functions for vibration of ring supported elliptical plates. In: Computational Mechanics. 1992 ; Vol. 9, No. 2. pp. 113-120.