Theoretical considerations on 2D multistable tensegrity structures based on equilateral triangles

IF 4.5 1区 工程技术 Q1 ENGINEERING, MECHANICAL
David Herrmann, Leon Schaeffer, Lukas Lehmann, Valter Böhm
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引用次数: 0

Abstract

This paper investigates the stability and stiffness characteristics of two-dimensional tensegrity structures based on two equilateral triangles connected by tensioned members, resulting in three multistable structural variants. The stability analysis is conducted by examining the system’s potential energy. Using a form-finding algorithm, the study reveals how the stiffness of tensioned members impacts global compliance distribution and the transition between equilibrium positions. By adjusting the stiffness of individual members and varying force application points, significant modifications in the overall stiffness of the structure can occur. The study shows that increasing the force amplitude can lead to equilibrium position changes, particularly in asymmetrical structures. These findings provide valuable insights for designing adaptable, stiffness-tunable structures. The results emphasize the critical role of force direction, stiffness distribution, and transitions between stable equilibrium states in the development of advanced mechanical systems.
基于等边三角形的二维多稳定张拉整体结构的理论思考
本文研究了基于受拉构件连接的两个等边三角形的二维张拉整体结构的稳定性和刚度特性,得到了三种多稳定结构变体。通过检测系统的势能进行稳定性分析。采用寻形算法,揭示了受拉构件刚度对整体柔度分布和平衡位置之间过渡的影响。通过调整单个构件的刚度和不同的施力点,可以发生结构整体刚度的重大修改。研究表明,增加力幅值会导致平衡位置的变化,特别是在非对称结构中。这些发现为设计适应性强、刚度可调的结构提供了有价值的见解。结果强调了力方向、刚度分布和稳定平衡状态之间的过渡在先进机械系统发展中的关键作用。
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来源期刊
Mechanism and Machine Theory
Mechanism and Machine Theory 工程技术-工程:机械
CiteScore
9.90
自引率
23.10%
发文量
450
审稿时长
20 days
期刊介绍: Mechanism and Machine Theory provides a medium of communication between engineers and scientists engaged in research and development within the fields of knowledge embraced by IFToMM, the International Federation for the Promotion of Mechanism and Machine Science, therefore affiliated with IFToMM as its official research journal. The main topics are: Design Theory and Methodology; Haptics and Human-Machine-Interfaces; Robotics, Mechatronics and Micro-Machines; Mechanisms, Mechanical Transmissions and Machines; Kinematics, Dynamics, and Control of Mechanical Systems; Applications to Bioengineering and Molecular Chemistry
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