Steady State Periodic Response of Laminated Composite Plates With/Without Geometric Nonlinearity

Abstract

The present paper deals with the steady state non-linear forced vibration response analysis of laminated composite plates. The work is carried out using first-order shear deformation based finite element with C0 continuous, eight-noded serendipity quadrilateral shear flexible element with five nodal degrees of freedom. The geometric non-linearity is included in the analysis using von Kármán’s assumption for small strains and moderately large deflection. The nonlinear periodic responses are obtained using shooting technique coupled with Newmark time marching, arc length and pseudo-arc length continuation algorithm. The analysis is carried out in time domain without any apriori assumptions of the participating modes. The effects of aspect ratio, excitation amplitude and lamination scheme on the steady state periodic response are investigated. The geometrically nonlinear frequency response of laminated plates are compared with those obtained based on linear theories and significantly large differences between the two have been obtained. The nonlinear response characteristics have been explored through phase plane plots and steady state response history.