Journal of Applied Science and Engineering

Published by Tamkang University Press

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Anupam Khanna This email address is being protected from spambots. You need JavaScript enabled to view it.1 and Ashish Kumar Sharma2

1Department of Mathematics, Maharishi Markandeshwar University (Mullana), Ambala, Haryana, India
2Department of Mathematics, Manav Bharti University, Solan, H. P., India


 

Received: January 10, 2012
Accepted: June 27, 2012
Publication Date: June 1, 2013

Download Citation: ||https://doi.org/10.6180/jase.2013.16.2.04  


ABSTRACT


In the modern technology, the plates of variable thickness are widely used in engineering applications i.e. nuclear reactor, aeronautical field, naval structure, submarine etc. In this paper, effect of thermal gradient on vibration of square plate of varying thickness is studied. Thermal effect and thickness of plate vary bi-parabolic i.e. parabolic in x-direction and parabolic in y-direction. Rayleigh Ritz technique is used to calculate the fundamental frequencies. The frequencies corresponding to the first two modes of vibrations are obtained for a square plate for different values of taper constant and thermal gradient. Results are presented in Table and Graphical form.


Keywords: Vibration, Frequencies, Square Plate, Vibration, Thermal Gradient


REFERENCES


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