STUDIES ON THE SENSITIVITY ANALYSIS OF EIGENVALUES FOR COMPOSITE LAMINATED PLATES IN HAMILTONIAN SYSTEMS

In the structural shape optimization (SSO) procedures, one of the main difficulties is to perform an accurate sensitivity analysis for structural responses with respect to some parameters such as structural shape sizes and material properties and so on. Based on BSWI (B-spline wavelet on the interval) wavelets element method, the governing equation of sensitivity coefficients of the eigenvalue response for composite laminated plates is derived in Hamiltonian Systems. The sensitivity coefficients of the first 4 order eigenvalues are obtained by bisection method with respect to the density of composite laminated plates whose sides are clamped. And the numerical results of bisection method are compared with that of the finite difference ones. The reliability of this eigenvalue sensitivity analysis method which based on the wavelets and Hamiltonian Systems is proved by the comparison. On additions, the eigenvalue sensitivity analysis method proposed can be expediently extended to the eigenvalue sensitivity analysis of complex laminate shell structures and intelligent composite laminated structures.