Science and Education Publishing Journal of Mathematical Sciences and Applications 1 1 2013 10 06 Thermal Effect on Vibration of Orthotropic Rectangular Plate with Thickness Variation as Linearly & Parabolically in x- and y- Directions Respectively 32 35 EN Arun Kumar Gupta Department of Mathematics, M. S. College, Saharanpur, U.P., India Subodh Kumar JMSA2013124 10.12691/jmsa-1-2-4 2013 08 22 2013 09 23 2013 10 06 The main objective of the present investigation is to study linear temperature behavior of orthotropic rectangular plate of bi-direction variable thickness. The thickness of the plate is considered as linearly in x-direction and parabolically in y-direction. Rayleigh-Ritz technique has been employed to obtain fundamental frequencies for the first two modes of vibrations. The effect of structural parameters such as taper constants and thermal gradient with c-c-c-c boundary condition has been taken. Numerical results thus obtained are shown graphically. Excellent agreement is noted when comparison is made with previous available experimental data.