Table of Contents
Journal of Structures
Volume 2014, Article ID 642926, 6 pages
Research Article

Thermal Effect on Vibration of Tapered Rectangular Plate

1Department of Mathematics, Maharishi Markandeshwar University, Ambala, Haryana 133203, India
2Department of Mathematics, Northern India Engineering College, New Delhi 110053, India

Received 23 January 2014; Revised 24 May 2014; Accepted 23 June 2014; Published 8 July 2014

Academic Editor: Lucio Nobile

Copyright © 2014 Anupam Khanna and Ashish Singhal. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A mathematical model is constructed to help the engineers in designing various mechanical structures mostly used in satellite and aeronautical engineering. In the present model, vibration of rectangular plate with nonuniform thickness is discussed. Temperature variations are considered biparabolic, that is, parabolic in x-direction and parabolic in y-direction. The fourth-order differential equation of the motion is solved by Rayleigh Ritz method for three different boundary conditions around the boundary of plate. Numerical values of frequencies for the first two modes of vibration are presented in tabular form for different values of thermal gradient, taper constants, and aspect ratio.