含矩形内部分层的复合材料圆柱壳块 三维问题的片条合成能量解法

根据叠加原理将含有矩形分层的复合材料圆柱壳块在横向载荷作用下的受力状态进行分解,将分层问题归结为在分层表面受附加剪切载荷作用时附加状态的分析,并据此建立了一个仅包含分层区的力学模型。通过切取纵横切片,利用含分层层合直梁与曲梁的附加位移,构造分层区附加位移模态。最后,应用最小势能原理确定位移幅值的闭合解。

METHOD OF STATE DECOMPOSITION AND SLICE COMPOSITION ON RECTANGULAR DELAMINATION IN COMPOSITE CYLINDRICAL SHELL

Using the principle of superposition, the transverse loading state of a cylindrical shell with rectangular delaminations is decomposed, and the problem of delamination can be reduced to the analysis of an additional stress state of the original laminate subjected to additional shear load along the delamination surfaces. The laminate sections parallel to the boundary of the delamination area can be regarded as laminated beams with delaminations, the displacements in which can be expressed by the analytical solutions of additional displacements in the above beams. By this way, the additional displacement fields satisfying the displacement boundary conditions of the delamination area can be established. Finally, a closed form solution of additional displacements is obtained by the principle of minimum potential energy.