A perturbation method for nonlinear forced vibration of orthotropic rectangular plates with in-plane loads

Abstract

The method of multiple scales in conjunction with Galerkin's method is used to analyze the nonlinear f orced and damped response of a rectangular orthotropic plate subjected to a uniformly distributed transverse l oading. The effects of damping and in-plane l oads are considered. The analysis considers simplysupported as well as clamped panels. For each case, both movable and immovable edge conditions are considered. By using the method of rnultiplescales, all the the possible resonances such as primary, subharmonic and superharmonic resonances are also studied. For the undamped response without in-plane l oading, comparisons of the present results with those obtained by finiteelement technique show excel lent agreement. Moreover, we present the results f or the damped response with and without in-plane l oading.