Energy-efficient actuation in infinite lattice structures

Energy-efficient actuation in infinite lattice structures
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DOI:
10.1016/s0022-5096(03)00048-6
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发表时间:
2003-08-01
影响因子:
5.3
通讯作者:
Torquato, S
Torquato, S
中科院分区:
工程技术2区
文献类型:
--
作者:
Donev, A;Torquato, S

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超静定自适应结构内部自应力的积累抵抗驱动。Guest和哈钦森(2003)最近的一篇论文表明,周期性无限桁架结构不可能既是静定结构又是动定结构;因此,刚性无限格构杆框架必须是超静定的。本文表明,它是可能的设计自适应周期性的无限桁架结构,可以实现任何状态的均匀应变,而无需能源成本,只驱动一个子集的杆在协调的方式。我们表明,驱动只有3个酒吧在两个维度或6个酒吧在三维每个单元格是必需的。一个数学装置的开发和这样的双三角晶格结构的一个例子,沿着附图。支持动画可以在作者的网站上找到。(C)2003爱思唯尔科技有限公司。保留所有权利。
Buildup of internal self-stresses in hyperstatic adaptive structures resists actuation. A recent paper by Guest and Hutchinson (2003) shows that periodic infinite truss structures cannot be both statically and kinematically determinate structures; therefore, a rigid infinite lattice bar framework must be hyperstatic. This paper shows that it is possible to design adaptive periodic infinite truss structures that can achieve any state of uniform strain without energy cost by actuating only a subset of the bars in a coordinated fashion. We show that actuation of only 3 bars in two dimensions or 6 bars in three dimensions per unit cell is required. A mathematical apparatus is developed and an example of such a bitriangular lattice structure is given, along with accompanying illustrations. Supporting animations can be found at the authors' website. (C) 2003 Elsevier Science Ltd. All rights reserved.