Affiliations: Department of Mathematics, M.S. College, Saharanpur,
U.P., India | Department of Mathematics, Government College,
Barwala, Panchkula, Haryana, India | Department of Mathematics, M.S. College, Saharanpur,
U.P., India
Abstract: The analysis presented here is to study the effect of thermal
gradient on the vibration of visco-elastic rectangular plate (having clamped
boundary condition on all the four edges) of variable thickness whose thickness
varies parabolically in both directions. The effect of linear temperature
variation has been considered. A frequency equation of plate has been obtained
by Rayleigh-Ritz technique with two terms of deflection function. The
assumption of small deflection and linear visco-elastic properties of 'Kelvin'
type are taken. Deflection and time period corresponding to the first two modes
of vibrations for clamped plate have been computed for various combinations of
aspect ratio, thermal constants, and taper constants. Numerical computations
have been performed for an alloy 'Duralium' and the results obtained are
depicted graphically.
