Applied Mathematics and Physics
ISSN (Print): 2333-4878 ISSN (Online): 2333-4886 Website: http://www.sciepub.com/journal/amp Editor-in-chief: Vishwa Nath Maurya
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Applied Mathematics and Physics. 2013, 1(4), 94-102
DOI: 10.12691/amp-1-4-2
Open AccessArticle

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

Arun Kumar Gupta1 and Vaibhav Panwar2,

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

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

Pub. Date: October 18, 2013

Cite this paper:
Arun Kumar Gupta and 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

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.

Keywords:
vibration bi-parabolically thickness variation exponentially thermal non-homogeneous rectangular plate

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