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首页> 外文会议>Smart Structures and Integrated Systems Mar 3-6, 2003 San Diego, California, USA >Unstable-unit tensegrity plate: modeling and design
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Unstable-unit tensegrity plate: modeling and design

机译：不稳定单元张紧板：建模和设计

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摘要

A new topology for a prestressed tensegrity plate, the unstable-unit tensegrity plate (UUTP), is introduced, together with a detailed algorithm for its design. The plate is a truss made of strings (flexible elements) and bars (rigid elements), which are loaded in tension and compression, respectively, where bars do not touch each other. Given the outline dimensions of the desired plate, and the number of bars along the plate's width and length, the algorithm solves for the nodes' positions and the prestress forces that make a plate in equilibrium. This is done by solving a non-linear matrix equation via Newton's method. This equation reflects static equilibrium conditions. We've designed several such plates, proving the feasibility of the proposed topology and the effectiveness of its design algorithm. Two such plates are characterized in detail, both statically and dynamically (via simulation). The proposed algorithm may be extended to solve for other tensegrity structures having different topologies and/or different shapes. The UUTP may be used as a building block of many types of structures, both uncontrolled and controlled, either large-scale or miniature-scale.
机译：介绍了一种用于预应力张紧板的新拓扑，即不稳定单元张紧板（UUTP），以及用于其设计的详细算法。板是由线（柔性元件）和杆（刚性元件）制成的桁架，它们分别承受拉力和压力，杆彼此不接触。给定所需板的轮廓尺寸以及沿板的宽度和长度的钢筋数量，该算法可求解使板处于平衡状态的节点位置和预应力。这是通过牛顿法求解非线性矩阵方程来完成的。该方程反映了静态平衡条件。我们已经设计了几个这样的板，证明了所提出的拓扑的可行性及其设计算法的有效性。静态和动态地（通过仿真）详细描述了两个这样的板。所提出的算法可以扩展为解决具有不同拓扑和/或不同形状的其他张力结构。 UUTP可用作许多类型的结构的构建块，无论是大型还是微型，都是不受控制的和受控制的。

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