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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。
In this paper, we first deduce the nonlinear governing equations of Reddy-type high-order shear deformation theory composite laminates and their corresponding boundary conditions expressed by displacements using the principle of virtual displacement. The selected five displacement functions all satisfy the boundary condition of elastic rotation constraint. The governing equations after dimensionless transformation are transformed into a set of nonlinear algebraic equations by the Galerkin method. The linearized method and the modified iterative method are used to solve the governing equations This set of equations. Finally, the deflection and bending moment values of different composites were obtained.