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J.S. Tomar and A.K.Gupta: Effect of thermal gradient on frequencies of orthotropic rectangular plate whose thickness varies in two directions, J.Sound and Vibration, 98(1985), 257-262.

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Article

Thermal Effect on Vibration of Orthotropic Rectangular Plate with Thickness Variation as Linearly & Parabolically in x- and y- Directions Respectively

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

2Department of Mathematics, Govt.College, Ambala Cantt, Haryana, India


Journal of Mathematical Sciences and Applications. 2013, Vol. 1 No. 2, 32-35
DOI: 10.12691/jmsa-1-2-4
Copyright © 2013 Science and Education Publishing

Cite this paper:
Arun Kumar Gupta, Subodh Kumar. Thermal Effect on Vibration of Orthotropic Rectangular Plate with Thickness Variation as Linearly & Parabolically in x- and y- Directions Respectively. Journal of Mathematical Sciences and Applications. 2013; 1(2):32-35. doi: 10.12691/jmsa-1-2-4.

Correspondence to: Arun Kumar Gupta, Department of Mathematics, M. S. College, Saharanpur, U.P., India. Email: gupta_arunnitin@yahoo.co.in

Abstract

The main objective of the present investigation is to study linear temperature behavior of orthotropic rectangular plate of bi-direction variable thickness. The thickness of the plate is considered as linearly in x-direction and parabolically in y-direction. Rayleigh-Ritz technique has been employed to obtain fundamental frequencies for the first two modes of vibrations. The effect of structural parameters such as taper constants and thermal gradient with c-c-c-c boundary condition has been taken. Numerical results thus obtained are shown graphically. Excellent agreement is noted when comparison is made with previous available experimental data.

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