Sensitivity Analysis of Static Response for Composite Laminated Plates in Hamilton System

Abstract

A hybrid governing equation of the static response quantities and its sensitivity coefficients is derived for the composite laminated plates in the state space framework. Analytical and semi-analytical methods are given by using the trigonometric functions and B-spline wavelet on the interval (BSWI), respectively. Numerical results obtained by the semi-analytical methods are presented showing the effects of variation in the material properties of the plate on the displacement response quantities and their sensitivity coefficients. And the accuracy problem is also discussed by using these numerical results. Because of the use of the hybrid governing equation in the response analysis and sensitivity analysis, the convoluted algorithm is avoided in sensitivity analysis, and the response quantities and its sensitivity coefficients are obtained at the same time. The hybrid governing equation can also be easily modified to solve the sensitivity analysis problems of stiffened piezolaminated plates, or the plates and shells with piezoelectric patches or Fiber Metal Laminates.