eng Science and Education Publishing Journal of Mathematical Sciences and Applications 2013-10-06 1 1 32 35 10.12691/jmsa-1-2-4 JMSA2013124 article Thermal Effect on Vibration of Orthotropic Rectangular Plate with Thickness Variation as Linearly & Parabolically in x- and y- Directions Respectively Arun Kumar Gupta gupta_arunnitin@yahoo.co.in 1 Subodh Kumar 2 Department of Mathematics, M. S. College, Saharanpur, U.P., India Department of Mathematics, Govt.College, Ambala Cantt, Haryana, India 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. http://pubs.sciepub.com/jmsa/1/2/4/jmsa-1-2-4.pdf thermal gradient vibration rectangular plate thickness variation linearly and parabolically