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.

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