Adaptive force density method for form-finding problem of tensegrity structures
Adaptive force density method for form-finding problem of tensegrity structures
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DOI：
10.1016/j.ijsolstr.2005.10.011
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发表时间：
2006-09
影响因子：
3.6
通讯作者：
Jingyao Zhang;M. Ohsaki
中科院分区：
文献类型：
--
作者：
Jingyao Zhang;M. Ohsaki
提出了一种张拉整体结构找形的数值方法。特征值分析和谱分解进行迭代，以找到一组可行的力密度，满足要求的秩亏的平衡矩阵相对于节点坐标。平衡矩阵示出对应于传统的有限元公式中的几何刚度矩阵。一个独特的和非退化的结构配置，然后可以通过指定一个独立的节点坐标集。给出了一个简单的解释所需的秩不足的平衡矩阵，导致一个非退化的结构。通过几个数值例子说明了该方法的鲁棒性以及搜索新配置的强大能力。
A numerical method is presented for form-finding of tensegrity structures. Eigenvalue analysis and spectral decomposition are carried out iteratively to find the feasible set of force densities that satisfies the requirement on rank deficiency of the equilibrium matrix with respect to the nodal coordinates. The equilibrium matrix is shown to correspond to the geometrical stiffness matrix in the conventional finite element formulation. A unique and non-degenerate configuration of the structure can then be obtained by specifying an independent set of nodal coordinates. A simple explanation is given for the required rank deficiency of the equilibrium matrix that leads to a non-degenerate structure. Several numerical examples are presented to illustrate the robustness as well as the strong ability of searching new configurations of the proposed method.