Review of Form-Finding Methods for Tensegrity Structures
Review of Form-Finding Methods for Tensegrity Structures
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DOI：
10.1260/0266-3511.26.3.241
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发表时间：
2011-09
影响因子：
--
通讯作者：
A. Tibert;S. Pellegrino
中科院分区：
文献类型：
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作者：
A. Tibert;S. Pellegrino
对张拉整体结构的7种找形方法进行了综述和分类。这三种运动学方法包括解析法、非线性优化法和拟动力迭代法。这四种静力分析方法包括解析法、力密度下线性平衡方程的建立、能量最小化和利用简化的平衡方程组搜索由拉索连接的结构的平衡构型。结论是，运动学方法最适合于仅获得基本已知的结构的构型细节。力密度法最适合于搜索新的构型，但不能控制结构元素的长度。简化坐标方法提供了对元素长度的更大控制，但需要更广泛的符号操作。
Seven form-finding methods for tensegrity structures are reviewed and classified. The three kinematical methods include an analytical approach, a non-linear optimisation, and a pseudo-dynamic iteration. The four statical methods include an analytical method, the formulation of linear equations of equilibrium in terms of force densities, an energy minimisation, and a search for the equilibrium configurations of the struts of the structure connected by cables whose lengths are to be determined, using a reduced set of equilibrium equations. It is concluded that the kinematical methods are best suited to obtaining only configuration details of structures that are already essentially known. The force density method is best suited to searching for new configurations, but affords no control over the lengths of the elements of the structure. The reduced coordinates method offers a greater control on elements lengths, but requires more extensive symbolic manipulations.