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Nonlinear analysis of cable structures using the dynamic relaxation method
Frontiers of Structural and Civil Engineering ( IF 2.9 ) Pub Date : 2021-02-11 , DOI: 10.1007/s11709-020-0639-y
Mohammad Rezaiee-Pajand , Mohammad Mohammadi-Khatami

The analysis of cable structures is one of the most challenging problems for civil and mechanical engineers. Because they have highly nonlinear behavior, it is difficult to find solutions to these problems. Thus far, different assumptions and methods have been proposed to solve such structures. The dynamic relaxation method (DRM) is an explicit procedure for analyzing these types of structures. To utilize this scheme, investigators have suggested various stiffness matrices for a cable element. In this study, the efficiency and suitability of six well-known proposed matrices are assessed using the DRM. To achieve this goal, 16 numerical examples and two criteria, namely, the number of iterations and the analysis time, are employed. Based on a comprehensive comparison, the methods are ranked according to the two criteria. The numerical findings clearly reveal the best techniques. Moreover, a variety of benchmark problems are suggested by the authors for future studies of cable structures.



中文翻译:

动态松弛法对电缆结构进行非线性分析

对于土木和机械工程师而言,电缆结构的分析是最具挑战性的问题之一。由于它们具有高度非线性的行为,因此很难找到这些问题的解决方案。迄今为止,已经提出了不同的假设和方法来解决这种结构。动态松弛法(DRM)是分析这些类型结构的显式过程。为了利用该方案,研究人员提出了用于电缆元件的各种刚度矩阵。在这项研究中,使用DRM评估了六个著名拟议矩阵的效率和适用性。为了实现这一目标,采用了16个数值示例和两个标准,即迭代次数和分析时间。在全面比较的基础上,根据两个标准对方法进行排名。数值结果清楚地揭示了最佳技术。此外,作者提出了各种基准问题,用于电缆结构的未来研究。

更新日期:2021-02-11
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