A Study on Free Vibration of Visco-elastic Tapered Plate with Clamped Ends
Journal Title: Romanian Journal of Acoustics and Vibration - Year 2015, Vol 12, Issue 1
Abstract
A mathematical analysis is presented here to analyze the free vibration of visco-elastic isotropic rectangular plate. The main objectives of the study are to assist engineers and scientists in designing of structures which are mostly used building, bridges, satellites etc. Authors studied the vibrational behavior of isotropic rectangular plate with two dimensional thickness and temperature variations. It is assumed that temperature varies bi-parabolic i.e. parabolic in x-direction & parabolic in y direction and thickness is considered to vary linearly in both x & y direction. Fourth order differential equation of motion is solved by Rayleigh-Ritz method for clamped boundary condition. Time period, deflection and logarithmic decrement for first two modes of vibration at various values of thermal gradient, taper constants and aspect ratio are calculated. All the numeric results are carried out for an alloy of Aluminium, ‘Duralumin’. The results are presented in tabular form.
Authors and Affiliations
Anupam KHANNA, Ashish SINGHAL
Keywords
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