Journal of Mathematical Sciences and Applications
ISSN (Print): 2333-8784 ISSN (Online): 2333-8792 Website: http://www.sciepub.com/journal/jmsa Editor-in-chief: Prof. (Dr.) Vishwa Nath Maurya, Cenap ozel
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Journal of Mathematical Sciences and Applications. 2013, 1(2), 32-35
DOI: 10.12691/jmsa-1-2-4
Open AccessArticle

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

Arun Kumar Gupta1, and Subodh Kumar2

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

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

Pub. Date: October 06, 2013

Cite this paper:
Arun Kumar Gupta and 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

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.

Keywords:
thermal gradient vibration rectangular plate thickness variation linearly and parabolically

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