Science and Education Publishing Applied Mathematics and Physics 1 1 2013 10 18 Vibration of Non-Homogeneous Rectangular Plate Having Parabolically Varying Thickness in Both Directions with Exponentially Temperature Distribution 94 102 EN Arun Kumar Gupta Department of Mathematics, M. S. College, Saharanpur, U.P., India Vaibhav Panwar AMP2013142 10.12691/amp-1-4-2 2013 08 22 2013 10 02 2013 10 18 An analysis is presented for frequencies of non-homogeneous rectangular plates of bi-parabolically thickness variation with exponentially temperature distribution on the basis of classical plate theory. An approximate but quiet convenient frequency equation is derived by using Rayleigh-Ritz technique with a two term deflection function. Effect of non-homogeneity together with taper constants and thermal gradient on the natural frequencies of vibration of a clamped rectangular plate on the first two modes of vibration have been analysed. Results are presented in tabular and graphical form both.