INVESTIGATIONS ON TRANSIENT DYNAMIC RESPONSE OF FUNCTIONALLY GRADED MATERIALS

The dynamic response analyses of functionally graded materials subjected to mechanical loads are investigated under ambient temperature and also deals with the linear vibration of functionally graded material plates in thermal environments. Transient response analysis is the most general method for computing forced dynamic response. The purpose of transient analysis is to compute the behavior of a structure subjected to time-varying excitation. The transient excitation is explicitly defined in the time domain. All of the forces applied to the structure are known at each instant of time. The study of dynamic behavior of FGM plate is very much important for the design of advanced structure. Finite element method is used to study the static and dynamic analyses. The governing dynamic equilibrium equations are derived by the Hamilton’s principle. A clamped FGM square plate is used for the study of direct transient response analysis in thermal environment. In the present analysis, zero initial conditions are assumed and damping is neglected. The time derivatives in the semi-discrete model were approximated by using the Newmark direct integration method.