含损伤复合材料圆柱壳非线性动力响应及屈曲

为分析损伤对复合材料圆柱壳结构动力性能的影响,该文以一阶剪切变形理论为基础,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的非线性动力方程.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,针对基体破坏子层进行刚度折减,并求得脱层损伤区域的等效刚度矩阵.采用半解析法求解方程,并根据求得的位移响应情况,由B-R准则判定屈曲,确定屈曲临界载荷;分析初始几何变形、伴随脱层及子层基体破坏等损伤形式对复合材料圆柱壳非线性动力响应及屈曲的综合影响.

Nonlinear dynamic response and buckling of damaged composite cylindrical shells

The dynamic response and buckling of a laminated composite cylindrical shell under the influence of initial geometric deformation were analyzed,as well as its concomitant delamination and sub-layer matrix 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 was treated as the initial geometric imperfection in the dynamic equations,which were solved by a semi-analytical method.Stiffness reduction was employed to matrix damage of the sub layer and the equivalent stiffness matrix was obtained for the local delaminated area.By expanding displacements and loads in a Fourier series along circumference and Galerkin technique, the nonlinear partial differential equations were transformed to ordinary differential equations,which were solved by the finite difference method.The buckling was judged from responses by buckling-restrained(B-R) criteria and critical loads were determined.