Journal of Applied Science and Engineering

Published by Tamkang University Press

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Seema Sharma This email address is being protected from spambots. You need JavaScript enabled to view it.1, U. S. Gupta2 and Prag Singhal3

1Department of Mathematics, Gurukul Kangri University, Hardwar, India
2Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India
3Department of Applied Sciences and Humanities, ABES. Engineering College, Ghaziabad, India


 

Received: April 25, 2011
Accepted: August 8, 2011
Publication Date: September 1, 2012

Download Citation: ||https://doi.org/10.6180/jase.2012.15.3.10  


ABSTRACT


Differential Quadrature Method (DQM) has been used to analyse free vibration of non-homogeneous orthotropic rectangular plates of parabolically varying thickness resting on Winkler-type elastic foundation. The behaviour of non-homogeneity has been assumed due to exponential variation in Young’s modulii and density in one direction. Three different combinations of clamped, simply supported and free edge conditions have been considered. Plots are given to show the effect of foundation parameter together with aspect ratio, taper constant, non-homogeneity parameter and density parameter on the natural frequencies for first three modes of vibration. Mode shapes have been computed for different values of plate parameters. A comparison of our results with those available in literature shows good agreement.


Keywords: DQM, Orthotropy, Variable Thickness, Non-Homogeneity, Elastic Foundation


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