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本文介绍了作者研制的非线性梁缆类结构有限元静力与动力学分析程序BCSAP(Beam or Ca-ble-like Structural Analysis program)的理论基础。对具有大变形的三维梁元的弹性与几何刚度矩阵作了简要的论述,并列出了以此为基础用增量法求解非线性梁缆类结构静力学问题的过程。为了求解这类结构的动力学问题,作者提出了一种新型的特殊三维梁元,将结构刚度较大的部件折算成一种等效质量附在相邻梁元的结点上。这样,过去要用数目较多的一般梁元,面元或体元离散的结构,采用达里介绍的新型梁元时,梁元数与结点数都可大大减少,从而节省了存貯容量和计算机时间,适于中小型计算机使用。
This paper introduces the theoretical basis of the Beam or Ca-ble-like Structural Analysis program (BCSAP) developed by the author. The elastic and geometric stiffness matrices of three-dimensional beam elements with large deformation are briefly discussed. The process of solving the statics of nonlinear beam-type structures by incremental method is also listed. In order to solve the dynamical problems of this type of structure, the authors propose a new type of special three-dimensional beam element, which converts the component with larger structural rigidity into an equivalent mass attached to the node of the adjacent beam element. In this way, in the past to use a large number of general beam element, surface element or voxel discrete structure, the introduction of the new type of beam elements, the number of beam elements and nodes can be greatly reduced, thus saving storage capacity and computer time , Suitable for small and medium-sized computer use.