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 PublishingCite 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.comAbstract
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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