基于辛波的交叉层复合材料层合圆柱壳自由振动分析方法

A symplectic wave-based method was proposed for the free vibration analysis of cross-ply laminated cylindrical shells with arbitrary boundary conditions. First, based on the Kirchhoff-Love ' s shell theory, the governing equation of a cross-ply laminated cylindrical shell was established in the symplectic duality system by selecting an appropriate state vector. Secondly, the characteristic equation for the cross-ply composite laminated cylindrical shell was derived so that the symplectic eigenproblem could be formed. Finally, the symplectic eigensolution was substituted into the boundary conditions at both ends of the cylindrical shell, and the algebraic equation of the free vibration problem of the cylindrical shell was obtained and then solved to give the natural frequencies and modals of the cross-ply composite laminated cylindrical shell. Numerical examples were given to show the validity and accuracy of the present method through comparing the results obtained using the present and other methods.