Free vibration analysis of composite plates using indirect quadrature technique

Abstract

This work concerns with free vibration analysis of composite plate materials. Based on a transvers shear theory, the governing equations of the problem are derived. An indirect technique of moving least-square differential quadrature method is developed and employed to reduce the problem to that of eigen-value one. Natural frequencies and mode shape functions of the composite are obtained. Validity of the developed technique is examined for regular and irregular plates with different boundary conditions. Accuracy and efficiency of the obtained results are achieved by comparing them with the previous exact and numerical ones. Further, a parametric study is introduced to investigate the effects of elastic and geometric properties on values of vibration field quantities.