**ABSTRACT**

The practical importance of thermally induced varying thickness plates has recently become an area of increase interest for engineers due to its wide applications. The temperature effect alters the modulus of elasticity of the plate causing an irrational behavior of the plate. This present study presents the application of three-dimensional differential transform method (3D-DTM) to nonlinear thermally induced dynamic analysis of non-homogenous rectangular plate with varying thickness under external excitation. Three-dimensional differential transform is used to obtain the analytical solution to the governing differential equation and the solution is used for the parametric studies. It is shown that, taper constant increases with increase in maximum deflection, thermal constant increases with decreases in maximum deflection, increases in aspect ratio leads to decreases in maximum deflection, increase in natural frequency results to increases in maximum deflection and non-homogeneity constant increases with increase in maximum deflection. Findings of the research is expected to add value to existing knowledge of classical plate theory.

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