A Review on Free, Forced Vibration Analysis and Dynamic Stability of Ordinary and Functionally Grade Material Plates

Vibration is the study of mechanical oscillations (repetitive motion) of an object about its rest position. Unnecessary vibrations may lead to system failure because of unpleasant motions and the dynamic stresses. Vibration can be useful or undesirable causing user discomfort, noise and bodily health problems and structural endurance problems, Vibration near resonance cause high and amplitude dynamic fatiguing stress. So a designer needs to reduce the undesirable vibrations, while the dynamic loads acting on it. Because of these undesirable vibrations the system energy will be losses and the performance of the system was decreased. The kinetic energy of the system is decreases and is transformed to heat and material damage. Thus there is need among end-users to obtain products whose dynamical behaviour more satisfactory for humans and environment than now. The plates are needed in numerous important engineering structures. Optimal of plates under dynamical loads is often highly desired. One of the vital issues is the structural vibrations of plate in engineering problems. This paper presents the recent development on the various plate theories and methods of analysis of free, forced vibrations and dynamic instability problems for very thin, moderately thick and thick plates, which are homogeneous and functionally graded material plates unlike composite plates. The goal in this work is to serve as a reference for highly diverse researches in dynamic instability of structural field.