The Optimum Design of Composite Laminated Plate Based on Spline Finite Element Analysis

Abstract

Geometrical parameters of composite laminated plates in engineering structure tend to have stochastic properties. It would be very significant on how to study the random parameter laminated plates, and the parameters optimization analysis of mechanical properties, influencing on the correctly-estimated reliability of structure design. Based on the classical theory advocated by Kirchhoff, which indicates that with spline finite element method, cubic b-spline function constitutes the spline to antisymmetry multi-layer angle laid against laminated plates on the three independent displacement and the interpolation which can deduce composite laminated plate stiffness matrix, quality array type, the damping array type, and the dynamic equations of laminates is derived by Lagrange equation and a characteristic equation established by Rayleigh-Ritz theory. On the basis of Kirchhoff hypothesis, the laminated plates mechanics characteristic analysis with spline collocation method can lead to the resolution of the structural displacement, and dynamic response of velocity and acceleration, further to comparing with Newmark method. As to laminated plates of nonlinear bending, its mechanical properties will be under siscussion. The optimum design of of laying layer of composite laminated plate horn based on the spline finite element analysis will be conducted. The numerical column verifies the effectiveness of the proposed algorithm.