一种空间六杆张拉整体结构找形分析与设计

A form finding analysis and design of a spatial six-bar tensegrity structure

本文提出了一种求解张拉整体结构初始形态的可行预应力找形的新方法.根据已知结构的单元类型和几何拓扑关系,分别采用谱分解和奇异值分解的方法将结构体系的平衡矩阵和力密度矩阵分解,在此基础上进行循环迭代直至满足对应矩阵最小秩缺失的必要条件,以此寻找合适的节点坐标和力密度.基于空间六杆张拉整体结构算例结果,利用棉绞线和PVC管模拟拉压单元成功制作模型进行了结果验证.本文的算例分析和模型结果证实了该空间六杆张拉整体结构体系的合理性,为新型复杂张拉整体结构的构型研究提供了一条新的途径.

A novel form-fining for solving the initial configuration of tensegrity structures is presented.According to the given elemental type and topological relationship of the structure,the structural equilibrium matrix and the force density matrix are decomposed by spectral decomposition and singular value decomposition respectively.In order to find the appropriate node coordinates and force density,the iteration was terminated until the corresponding matrix satisfies the necessary rank deficiency condition.Based on the numerical results of the spatial six-bar tensegrity structure,a simulate model is successfully fabricated by using cotton strands and PVC pipes.The results obtained in this paper confirm the rationality of the space six-bar tensegrity structure theorically and practically,which also provide a new path for investigating configurations of more complicated tensegrity structure.