Please use this identifier to cite or link to this item: https://doi.org/10.1006/jsvi.2001.3922
Title: Exact buckling and vibration solutions for stepped rectangular plates
Authors: Xiang, Y.
Wang, C.M. 
Issue Date: 21-Feb-2002
Source: Xiang, Y., Wang, C.M. (2002-02-21). Exact buckling and vibration solutions for stepped rectangular plates. Journal of Sound and Vibration 250 (3) : 503-517. ScholarBank@NUS Repository. https://doi.org/10.1006/jsvi.2001.3922
Abstract: This paper is concerned with the determination of exact buckling loads and vibration frequencies of multi-stepped rectangular plates based on the classical thin (Kirchhoff) plate theory. The plate is assumed to have two opposite edges simply supported while the other two edges can take any combination of free, simply supported and clamped conditions. The proposed analytical method for solution involves the Levy method and the state-space technique. By using this analytical method, exact buckling and vibration solutions are obtained for rectangular plates having one- and two-step thickness variations. These exact solutions are extremely useful as benchmark values for researchers developing numerical techniques and software for analyzing non-uniform thickness plates.
Source Title: Journal of Sound and Vibration
URI: http://scholarbank.nus.edu.sg/handle/10635/65553
ISSN: 0022460X
DOI: 10.1006/jsvi.2001.3922
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