Journal of Applied Mathematics & Bioinformatics

Bi- Parabolic thermal effect on vibration of visco-elastic square plate

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• Abstract

  The analysis presented here is to study the effect of thermal gradient on the vibration of visco-elastic square plate (having clamped boundary condition on all the four edges) of variable thickness whose thickness varies linearly in both directions. Two dimensional thermal effects on frequency of free vibrations of a visco-elastic square plate is considered. It is also considered that the temperature varies parabolically in two directions and thickness of square plate varies linearly in two directions. An approximate but quite convenient frequency equation is derived for a square plate (clamped at all the edges) by using Rayleigh-Ritz technique with a two-term deflection function. Both the modes of the frequency are calculated by the latest computational technique, MATLAB, for the various  values of taper parameters and temperature gradient. All the results are presented in the graphs.