SENSITIVITY ANALYSIS OF COMPOSITE LAMINATED PLATES USING THE MESHLESS IN THE STATE SPACE FRAMEWORK

Abstract

A hybrid governing equation is presented by using the meshless method with radial basis functions for the response and sensitivity analysis of composite laminated plates in the state space framework. Analytical method (AM), semi-analytical (SA) and finite difference (FD) expresses of the hybrid governing equation are also derived for the sensitivity analysis. Numerical examples are consisted of the static response analysis, dynamic response analysis and their sensitivity analysis. The sensitivity coefficients of the static response and natural frequency are obtained by AM, SA and FD with respect to the material prosperities and the shape parameters of the cross-ply composite laminated plates. One of the main advantages of the hybrid governing equation in the response analysis and sensitivity analysis is that the convoluted algorithm can be avoided in sensitivity analysis, and the response quantities and the sensitivity coefficients are obtained simultaneously.