Comparative Analysis of Two Tensegrity Grids Considering Slack and Rupture of Cables
Comparative Analysis of Two Tensegrity Grids Considering Slack and Rupture of Cables
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考虑缆索松弛和断裂的两种张拉整体网格的比较分析
DOI：
10.2514/1.j059109
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发表时间：
2020
期刊：
影响因子：
2.5
通讯作者：
Zhou Yan
中科院分区：
文献类型：
--
作者：
Jian Wu;Liang Zhang;Zigang He;Zhou Yan
张拉结构在建筑、航空航天、生物工程和软机器人技术中有许多重要的技术应用。在张拉整体结构中，杆件的损失对结构的非线性性能有重要影响。本文采用共旋法研究了拉索断裂对两种周期性张拉整体网格（有索和无索）的影响。推导了通过滑轮的成簇索的切线刚度矩阵。考虑拉索的弹塑性变形，建立了拉索断裂的力学模型。通过一个简单的算例验证了所提出的有限元列式的有效性，并将其应用于复杂张拉整体网格的分析。详细讨论了松弛的传播和拉索的断裂。数值模拟结果表明，簇索在分担外荷载方面发挥了重要作用，使得簇索张拉整体网架与传统张拉整体网架相比，具有较均匀的变形。另一方面，有趣的是，观察到的经典张拉整体网格的局部机制模式引起的全球变形恢复。这一发现对于基于张拉整体的超材料和能量收集装置的设计可能是有价值的。本文的工作为经典张拉体和簇张拉体的非线性分析提供了一种有效的数值方法。
Tensegrities have found many technologically important applications in architecture, aerospace, biological engineering, and soft robotics. Loss of members in tensegrity structures may have an important effect on their nonlinear behaviors. In this paper, the effect of the rupture of cables on two periodic tensegrity grids (with and without clustered cables) is investigated by using the corotational approach. A tangent stiffness matrix is derived for a clustered cable running through pulleys. The rupture of cables is modeled by considering the elastoplastic deformation. The proposed finite element formulation is validated by a simple example and then applied into the analysis of complex tensegrity grids. The propagation of slack and the rupture of cables are discussed in detail. The results of the numerical simulation show that clustered cables play important roles in sharing external loads such that the clustered tensegrity grid has a uniform deformation in comparison with the classical one. On the other hand, interestingly, a global deformation resilience induced by local mechanism modes is observed for the classical tensegrity grid. The finding may be valuable for designs of tensegrity-based metamaterials and energy harvesting devices. The work provides an efficient and numerical way of nonlinear analysis of both classical and clustered tensegrities.