Design of bistable arches by determining critical points in the force-displacement characteristic
Design of bistable arches by determining critical points in the force-displacement characteristic
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DOI：
10.1016/j.mechmachtheory.2017.07.009
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发表时间：
2017-11-01
影响因子：
5.2
通讯作者：
Ananthasuresh, G. K.
中科院分区：
文献类型：
--
作者：
Palathingal, Safvan;Ananthasuresh, G. K.
拱形的边界条件、预制形状和高深比表征了它的双稳特性。我们通过在锚定到地面的销连接处使用扭转和平移弹簧来建模平面拱门来研究这一点。与固支双稳拱相比，该模型的一种特例--销钉拱具有更好的双稳特性。两端有旋转弯曲的拱门保留了销钉拱门的双稳特性，同时易于制造。然而，与固定-固定和销钉拱的极端情况不同，这种拱的平衡方程在解析解中变得难以处理。为此，本文提出了一种一般边界条件下双稳拱形综合的半解析方法。这是通过数值确定力-位移曲线中的临界点来实现的。这些临界点对应于切换和切回力，并在两种状态之间移动，从而实现所需行为的合成。我们给出了不同边界条件和无预应力预制形状的双稳拱的设计和优化实例。我们还提出了两种方法来设计一类新的非对称双稳拱门。(C)2017爱思唯尔有限公司。保留所有权利。
The boundary conditions, as-fabricated shape, and height-to-depth ratio of an arch characterize its bistability. We investigate this by modeling planar arches with torsion and translational springs at the pin joints anchored to the ground. A pinned-pinned arch, a special case of the model, has superior bistable characteristics as compared to a fixed-fixed bistable arch, which is also a particular case of the model. Arches with revolute flexures at the ends retain bistable characteristics of the pinned-pinned arches while being amenable for easy fabrication. However, equilibrium equations for such arches become intractable for analytical solution unlike the extreme cases of fixed-fixed and pinned-pinned arches. Therefore, a semi-analytical method for analysis and shape-synthesis of bistable arches with general boundary conditions is developed in this work. This is done by numerically determining critical points in the force-displacement curve. These critical points correspond to switching and switch-back forces and travel between the two states thereby enabling synthesis for desired behavior. We present design and optimization examples of bistable arches with a variety of boundary conditions and as-fabricated shape without prestress. We also propose two approaches to design a new class of asymmetric bistable arches. (C) 2017 Elsevier Ltd. All rights reserved.