Vibration of visco-elastic rectangular plate with linearly thickness variations in both directions

The analysis presented here is to study the effect of linear thickness variations in both directions on vibration of viscoelastic rectangular plate having clamped boundary conditions on all the four edges. Using the separation of variables method, the governing differential equation has been solved for vibration of visco-elastic rectangular plate. An approximate but quite convenient frequency equation is derived by using Rayleigh-Ritz technique with a two-term deflection function. Logarithmic decrement, time period and deflection at different points for the first two modes of vibration are calculated for various values of taper constants and aspect ratio. (c) 2006 Elsevier Ltd. All rights reserved.