Free vibration solution for clamped orthotropic plates using Lagrangian multiplier technique

Abstract

Using the Lagrangian multiplier technique, an analysis was developed to compute the natural frequencies and mode shapes of clamped orthotropic laminated plates. Transverse shear deformation effects were included using a higher-order plate theory. Predictions made with the developed analysis demonstrated excellent agreement with the available experimental test results and other analytical solutions. The validated free vibration analysis has also been used to develop an analysis to predict the dynamic response of clamped orthotropic plates subjected to low-velocity impact by a hard object.