eng Science and Education Publishing Applied Mathematics and Physics 2013-10-18 1 1 94 102 10.12691/amp-1-4-2 AMP2013142 article Arun Kumar Gupta gupta_arunnitin@yahoo.co.in 1 Vaibhav Panwar 2 Department of Mathematics, M. S. College, Saharanpur, U.P., India Department of MCA, Institute of Management Studies, Dehradun, India 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. http://pubs.sciepub.com/amp/1/4/2/amp-1-4-2.pdf vibration bi-parabolically thickness variation exponentially thermal non-homogeneous rectangular plate