Transient and Free vibration analysis of a thermo-electric- elastic by using Stochastic hybrid numerical method

This paper presents the transient and Free vibration analysis of an infinite thermo-electric-elastic solid cylinder is analysed stochastically by using hybrid numerical method (combined Galerkin finite element and Newmark finite difference method). The governing equations for the thermo-electric-elastic solid cylinder is made up of 6mm class, involving the mechanical, electrical and thermal fields and studied by free and forced vibration as boundary conditions. The dynamic finite element equations are obtained by assumed shape functions. After assembling the Mass, Stiffness and Damping and matrices, the global transient equations are established in time field. The resulting equilibrium equations are solved by using the finite difference technique with suitable time instants. By using material constants displacement, velocity and acceleration of vibrations are obtained with various time values and the nondimensional frequencies are also obtained by different values of nondimensional wave number. Numerical work is carried out by the materials Barium titanate and Cadmium selenide. The outcomes are tabulated and represented graphically. (paper)