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Singh B. and Saxena V.(1996), Transverse vibration of rectangular plate with bi-directional thickness variation, J. Sound and Vibration ,198, 51-65.

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Article

Vibration of Non-Homogeneous Rectangular Plate Having Parabolically Varying Thickness in Both Directions with Exponentially Temperature Distribution

1Department of Mathematics, M. S. College, Saharanpur, U.P., India

2Department of MCA, Institute of Management Studies, Dehradun, India


Applied Mathematics and Physics. 2013, Vol. 1 No. 4, 94-102
DOI: 10.12691/amp-1-4-2
Copyright © 2013 Science and Education Publishing

Cite this paper:
Arun Kumar Gupta, Vaibhav Panwar. Vibration of Non-Homogeneous Rectangular Plate Having Parabolically Varying Thickness in Both Directions with Exponentially Temperature Distribution. Applied Mathematics and Physics. 2013; 1(4):94-102. doi: 10.12691/amp-1-4-2.

Correspondence to: Vaibhav  Panwar, Department of MCA, Institute of Management Studies, Dehradun, India. Email: vaibhav@gmail.com

Abstract

An analysis is presented for frequencies of non-homogeneous rectangular plates of bi-parabolically thickness variation with exponentially temperature distribution on the basis of classical plate theory. An approximate but quiet convenient frequency equation is derived by using Rayleigh-Ritz technique with a two term deflection function. Effect of non-homogeneity together with taper constants and thermal gradient on the natural frequencies of vibration of a clamped rectangular plate on the first two modes of vibration have been analysed. Results are presented in tabular and graphical form both.

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