弹性转动约束复合材料层板的中等大挠度

Moderate large deflection of composite laminated plates with edges elastically restrained against rotation using higher-order shear deformation theory

本文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 5个位移函数均满足弹性转动约束边界条件 ,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。

Geometrically nonlinear governing equations and their boundary conditions of composite laminated plates are obtained in the form of displacements by the virtual displacement principle.They are based on the Reddy's higher-order shear deformation theory. All five-displacement functions satisfy the boundary conditions that all edges are elastically restrained against rotation. Galerkin's method is used to transfer dimensionless governing equations to an infinite set of nonlinear algebraic equations solved by parameter-regulated iterative procedurse.Numerical results are presented in a dimensionless graphical form that relate 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.