Journal of Theoretical
and Applied Mechanics

48, 1, pp. 255-266, Warsaw 2010

Vibration of non-homogeneous visco-elastic circular plate of linearly varying thickness in steady state temperature field

Arun K. Gupta, Lalit Kumar
An analysis is presented for free vibration of a non-homogeneous visco-elastic circular plate with linearly varying thickness in the radial direction subjected to a linear temperature distribution in that direction. The governing differential equation of motion for free vibration is obtained by the method of separation of variables. Rayleigh-Ritz's method has been applied. Deflection, time period and logarithmic decrement corresponding to the first two modes of vibrations of a clamped non-homogeneous visco-elastic circular plate for various values of non-homogeneity parameter, taper constant and thermal gradients are obtained and shown graphically for the Voigt-Kelvin model.
Keywords: non-homogeneous; visco-elastic; circular plate; variable thickness; steady state temperature field