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本文采用有限元素注,对于具有初缺陷或偏心加筋的复合材料层板,进行了几何非线性问题的稳定性分析。层板(有或无平行筋条)的变形用拉格朗日座标系来表示。按照虚功原理建立了结构的非线性平衡方程,并用牛顿迭代法来求解。根据切线刚度矩阵的行列式为零的条件,得到层板的临界状态。我们分析了三个问题的计算结果,并得出了一些有意义的结论。
In this paper, the finite element method is used for the stability analysis of geometrical nonlinear problems of composite laminates with initial defects or eccentric stiffeners. Deformation of laminates (with or without parallel ribs) is expressed in Lagrangian coordinates. According to the principle of virtual work, a nonlinear equilibrium equation of structure is established and solved by Newton iteration method. According to the condition that the determinant of the tangent stiffness matrix is zero, the critical state of the laminate is obtained. We analyze the results of the three questions and come to some meaningful conclusions.