Forced vibration analysis of antisymmetric laminated rectangular plates with distributed patch mass using third order shear deformation theory

A forced vibration analysis of laminated composite plates carrying a distributed patch mass is analyzed and presented in this paper. It deals with the determination of the transverse, dynamic response of rectangular composite plates subjected to a uniformly distributed P0eiωextP0eiωext-type excitation. The Hamilton's Principle, using third-order shear deformation theory, is applied to simply supported rectangular plates. The displacement of the plate is postulated by a double Fourier series. The effects of size and location of the area of the patch, frequency ratio and mass ratio on the response of the plate are also presented. A thorough comparison with well-known published results is presented for the case of free vibration of unloaded plates and good agreement is observed.