Non-linear analytical modeling of planar compliant mechanisms

Non-linear analytical modeling of planar compliant mechanisms
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DOI:
10.1016/j.mechmachtheory.2020.104067
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发表时间:
2021-01-01
影响因子:
5.2
通讯作者:
Zentner, Lena
Zentner, Lena
中科院分区:
工程技术1区
文献类型:
--
作者:
Henning, Stefan;Linss, Sebastian;Zentner, Lena

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柔性机构在技术应用中是最先进的,特别是在精密工程中。它们主要通过柔性铰链的弯曲变形来实现运动。由于柔性铰链的整体设计和大挠度引起的非线性,精确分析柔性铰链机构仍然是一项具有挑战性的任务。现有的精确分析模型大多局限于单铰。因此,本文提出了一种计算任意平面柔顺机构弹性运动特性的非线性解析方法。该方法是基于大挠度的杆状结构的理论。作为一个典型的例子,一个柔性平行四杆机构的变化的柔性段的分析方法进行了研究。使用MATLAB(R)对运动和变形行为进行了数值计算。它示出,分析结果是在良好的相关性与有限元为基础的模拟和测量的制造原型。为了证明所提出的方法的通用性,两个更进一步和更复杂的机制的例子被认为是。因此,所实现的建模方法允许准确和快速的分析,以及与分布或集中的顺应性的歧管平面顺应机构的综合。(C)2020爱思唯尔有限公司保留所有权利。
Compliant mechanisms are state of the art in technical applications, especially in precision engineering. They mostly achieve their motion due to bending-dominated deformation of their compliant segments, i.e. flexure hinges. Accurately analyzing a compliant mechanism in dependence of specific flexure hinges is still a challenging task due to the monolithic design and non-linearities caused by large deflections. Most existing accurate analytical models are restricted to single hinges. Therefore, this paper presents a non-linear analytical approach to calculate the elasto-kinematic properties of arbitrary planar compliant mechanisms. The approach is based on the theory for large deflections of rod-like structures. As a typical example, a compliant parallel four-bar linkage with varying compliant segments is investigated by means of the proposed analytical approach. The motion and deformation behavior are numerically calculated with the use of MATLAB (R). It is shown, that the analytical results are in good correlation with FEM-based simulations and measurements of a manufactured prototype. To demonstrate the generality of the proposed method, two further and more complex mechanism examples are considered. As a result, the implemented modeling approach allows an accurate and fast analysis as well as synthesis of manifold planar compliant mechanisms with distributed or concentrated compliance. (C) 2020 Elsevier Ltd. All rights reserved.