Forced Vibration of rectangular FGM plates with distributed patch load using third order shear deformation theory

Forced vibration analysis of a rectangular and simply supported functionally graded material plate is presented. It deals with the determination of the transverse, dynamic response of rectangular FGM plates subjected to a uniformly distributed patch h iω t 0 p e ex -type excitation. The Poisson’s ratio of the FGM plate is assumed to be constant, but the Young’s moduli vary continuously throughout the thickness direction according to the volume fraction of constituent defined by power-low function. The Hamilton’s Principle, using third order shear deformation theory, is applied to the simply supported rectangular plate. The displacement of the plate is postulated by a double Fourier series. A thorough comparison with well known published results is presented for the case of free vibration of unloaded plates and good agreement is observed.

Keywords:

“Functionally graded material plate” , “Third order shear deformation theory” , “Forced vibration” , “Patch load”