含分层损伤复合材料圆柱壳非线性动力响应

基于一阶剪切变形理论,由Hamilton原理推导出包含横向剪切变形以及初始几何缺陷的圆柱壳非线性动力方程.复合材料圆柱壳上的初始几何变形以初始几何缺陷的方式描述并引入方程,针对破坏子层进行刚度折减,并求得脱层损伤的等效刚度矩阵.采用半解析法求解方程,其中位移及载荷沿周向级数展开,由Galerkin方法得到微分方程组,通过有限差分法求解;分析初始几何变形、伴随脱层及子层破坏等损伤形式对复合材料圆柱壳非线性动力响应的综合影响.

Nonlinear Dynamic Response of Composite Cylindrical Shells with Sub-layer Damage

Based on the first order shear deformation theory(FSDT),the nonlinear dynamic equations involving transverse shear deformation and initial geometric imperfections were obtained by Hamilton's philosophy.The initial geometric deformation of the laminated composite cylindrical shell is treated as the initial geometric imperfection in the dynamic equations that are solved by the semi-analytical method.Stiffness reduction was employed to damage sub-layer and an equivalent stiffness matrix was obtained for the local delaminated area.By expanding displacements and loads in Fourier series along circumference and Galerkin technique,the nonlinear partial differential equations were transformed to ordinary differential equations that are solved by the finite difference method.The dynamic response of laminated composite cylindrical shell under the influence of geometric deformation,its concomitant delamination and sub-layer damage were discussed.