高阶剪切变形理论下三边夹紧一边铰支复合材料层板的几何非线性分析  

Geometrical Nonlinear Analysis of Composite Laminated Plates with Three Edges Clamped and One Edge Simply Supported Using High-Order Shear Deformation Theory

作　　者：杨加明[1] 孙良新[1] 等 

机构地区：[1]南京航空航天大学，南京210016

出　　处：《应用力学学报》2002年第4期85-88,共4页Chinese Journal of Applied Mechanics

基　　金：国家教委博士点基金 (980 2 870 9);江西省材料科学与工程研究中心开放基金资助项目 (CL0 2 0 9)

摘　　要：首先用虚位移原理推导出以位移形式表达的Reddy型高阶剪切变形理论复合材料层板的非线性控制方程及相应的边界条件。选定的五个位移函数均满足三边夹紧一边铰支边界条件 ,用Galerkin方法把无量纲化之后的控制方程转化为一组非线性代数方程组 ,用线性化的方法和可调节参数的修正迭代法求解这组方程。最后求出了不同复合材料的挠度和弯矩值。Geometrical nonlinear governing equations and their boundary conditions of composite laminated plates are obtained in the form of displacements by the virtual displacement principle. The study is based on the Reddy's high order shear deformation theory. All five displacement functions satisfy the boundary conditions that three edges are clamped and one edge is simply supported. Galerkin's method is used to transfer non dimensionalized governing equations to an infinite set of nonlinear algebraic equations. Large scale of sparse matrix linear equations has been solved by Biconjugate Gradients Stabilized Method and nonlinear algebraic equations solved by parameter regulated iterative procedures. Numerical results are presented in a dimensionless graphical form that relates to the performances of symmetric cross ply laminated plates subjected to the uniformly distributed loads. The influence of various factors on deflection and moment is studied.

关 键 词：三边夹紧一边铰支 复合材料层板 高阶剪切变形理论 几何非线性 

分 类 号：TB330.1[一般工业技术—材料科学与工程]