Title: Differential transform method to study free transverse vibration of monoclinic rectangular plates resting on Winkler foundation
Authors: Kumar, Yajuvindra
Citation: Applied and Computational Mechanics. 2013, vol. 7, no. 2, p. 145-154.
Issue Date: 2013
Publisher: University of West Bohemia
Document type: článek
URI: http://www.kme.zcu.cz/acm/index.php/acm/article/view/218/235
ISSN: 2336-1182 (Online)
1802-680X (Print)
Keywords: diferenciální transformační metoda;příčné vibrace;numerická analýza;matematický model
Keywords in different language: differential transform method;transverse vibration;numerical analysis;mathematical model
Abstract: This paper analyses free transverse vibration of a monoclinic rectangular plate of uniform thickness resting onWinkler foundation using differential transform method (DTM). Two parallel edges of the plate are taken according to Levy approach i.e., simply supported and other two edges may be either clamped-clamped or clamped-simply supported. This semi-numerical-analytical technique converts the governing differential equation and boundary conditions into a set of algebraic equations. Characteristic equations have been obtained for above two combinations of boundary conditions in the form of infinite series and solved numerically by truncating these equations to finite number of terms. Robustness and convergence of the method is confirmed through numerical results. Two dimensional and three dimensional mode shapes have been plotted for both the cases.
Rights: © 2013 University of West Bohemia. All rights reserved.
Appears in Collections:Volume 7, number 2 (2013)
Volume 7, number 2 (2013)

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Please use this identifier to cite or link to this item: http://hdl.handle.net/11025/10675

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