Form-finding of tensegrity structures with multiple states of self-stress
Form-finding of tensegrity structures with multiple states of self-stress
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DOI：
10.1007/s00707-011-0524-9
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发表时间：
2011-08
期刊：
影响因子：
2.7
通讯作者：
H. Tran;Jaehong Lee
中科院分区：
文献类型：
--
作者：
H. Tran;Jaehong Lee
提出了一种用于具有多种自应力状态的张拉整体结构找形的数值方法。在第一阶段，通过拓扑和杆件类型的唯一已知信息迭代计算节点坐标和力密度的可行集合的范围，直到分别满足所需的力密度和平衡矩阵的秩亏。然后，利用从所获得的配置的对称性属性导出和/或由设计者直接指定的力密度的线性约束来定义第二阶段中的单个积分可行的力密度矢量。严格地给出了生成张拉整体构型的力密度矩阵的零空间的解释。提出了几个数值例子来证明在寻找具有多种自应力状态的张拉整体结构的新自平衡稳定构型时的效率和鲁棒性。
A numerical method is presented for form-finding of tensegrity structures with multiple states of self-stress. At the first stage, the range of feasible sets of the nodal coordinates and the force densities are iteratively calculated by the only known information of the topology and the types of members until the required rank deficiencies of the force density and equilibrium matrices are satisfied, respectively. The linear constraints on the force densities which are derived from the obtained configuration’s symmetry properties and/or directly assigned by designers are then utilized to define a single integral feasible force density vector in the second stage. An explanation on the null space of the force density matrix that generates the configurations of the tensegrities is rigorously given. Several numerical examples are presented to demonstrate the efficiency and robustness in searching new self-equilibrium stable configurations of tensegrity structures with multiple states of self-stress.