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Study of the effect of thermal gradient on free vibration of clamped visco-elastic rectangular plates with parabolicclly thickness variation in both directions
by
Harvinder Kaur
Govt.College,Barwala,Panchkula,Haryana,India.
Coauthors: A.K. Gupta
The demand of technically better designed filaments and parts of machines in aircraft structures, jet engine, nuclear power plants and building activities in the cold regions has enhanced the requirement of study of various problems of plates continuously supported by elastic or visco-elastic media.It is observed that the thermal effects are frequently ignored in most of the cases in research which may yield incorrect results.The effect of thermal gradient on the free vibration of clamped visco-elastic rectangular plate with parabolically thickness variations in both the directions has been studied here. The governing differential equation has been solved using Rayleigh-Ritz technique. The frequency equation is derived for the clamped boundary condition on all the four edges. The effect of linear temperature variation has been considered. Deflection and time period corresponding to the first two modes of vibrations of clamped plate have been computed for various values of aspect ratio, thermal constants, and taper constants.
KEY WORDS: Thermal gradient, Transverse vibration, Visco-elastic rectangular plate, Thickness variation
Date received: December 25, 2007
Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavk-58.