Exact analysis and reanalysis methods for structures with nonlinear boundary conditions
Exact analysis and reanalysis methods for structures with nonlinear boundary conditions
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DOI：
10.1016/j.compstruc.2018.01.004
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发表时间：
2018-03
影响因子：
4.7
通讯作者：
Huang Guanxin;Xin Chen;Zhijun Yang;Baisheng Wu
中科院分区：
文献类型：
--
作者：
Huang Guanxin;Xin Chen;Zhijun Yang;Baisheng Wu
本文提出了一种适用于非线性边界条件下结构静动力分析的快速分析和重分析方法。为了保证精确度和准确度，该技术基于精确的再分析方法，即谢尔曼-莫里森-伍德伯里（SMW）公式和间接因子化更新（IFU）。通过局部施加非线性边界条件，并保持有效刚度矩阵的局部变化，可以保证所提方法的高效率。从而解决了非线性重分析中的误差积累问题。两个基准测试，包括一个二维梁和一个基于柔性多体系统的机器人操作器，以证明所提出的方法。数值结果表明，该方法可以获得与完全分析相同的精确解，但效率比后者高出2 ~ 5倍。所提出的方法，然后提供了一个有效的措施，结构的非线性边界条件和局部修改。
Fast analysis and reanalysis methods are proposed in this work for both static and dynamic analysis of structures with nonlinear boundary conditions. To ensure the precision and accuracy, the technique is based on exact reanalysis methods, i.e. the Sherman-Morrison-Woodbury (SMW) formula and Indirect Factorization Updating (IFU). By applying the nonlinear boundary conditions locally and keeping the change of effective stiffness matrix to be local, a high efficiency of the proposed methods can be guaranteed. As a result, the key difficulties of error accumulation in the nonlinear reanalysis is solved consequently. Two benchmark tests, including a two-dimensional beam and a flexible multi-body system based robotic manipulator are adopted to demonstrate the proposed methodology. Numerical results show that the method can acquire same exact solutions as full analysis of the considered structures, but lead to about twice to five times higher efficiency than the latter. The proposed methods then provide an efficient measure for structures with nonlinear boundary conditions and local modifications.