Tensegrity frameworks: Static analysis review.
Tensegrity frameworks: Static analysis review.
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DOI：
10.1016/j.mechmachtheory.2007.06.010
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发表时间：
2008-07
影响因子：
5.2
通讯作者：
Sergi Hernandez Juan;J. M. M. Tur-J.-M.-M.-Tur-2468491
中科院分区：
文献类型：
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作者：
Sergi Hernandez Juan;J. M. M. Tur-J.-M.-M.-Tur-2468491
本文综述了张拉整体结构静力学的基本问题。最重要的概念，从现有的大量文献中借来的定义和符号，进行了总结。所有这些概念和定义提供了一个完整的数学框架来分析张拉整体结构的刚度和稳定性能，从三个不同的，但相关的观点：运动，力和能量方法。本文提出了几种刚性和稳定性的定义，并按层次从无穷小刚性的最强条件到简单刚性的更广泛的概念进行了排序，从而推广了已有的一些分类。关于这些定义之间的关系的重要定理也放在一起，以完成张拉整体结构的静态概述。不同的张拉整体结构属于每个刚度和稳定性类别的例子进行了描述和分析。在总结张拉整体结构静力分析的基础上，对现有的找形方法进行了综述。
This paper hands in a review of the basic issues about the statics of tensegrity structures. Definitions and notation for the most important concepts, borrowed from the vast existing literature, are summarized. All of these concepts and definitions provide a complete mathematical framework to analyze the rigidity and stability properties of tensegrity structures from three different, but related, points of view: motions, forces and energy approaches. Several rigidity and stability definitions are presented in this paper and hierarchically ordered, from the strongest condition of infinitesimal rigidity to the more wide concept of simple rigidity, so extending some previous classifications already available. Important theorems regarding the relationship between these definitions are also put together to complete the static overview of tensegrity structures. Examples of different tensegrity structures belonging to each of the rigidity and stability categories presented are described and analyzed. Concluding the static analysis of tensegrity structures, a review of existing form-finding methods is presented.