北京航空航天大学学报 ›› 2018, Vol. 44 ›› Issue (6): 1133-1140.doi: 10.13700/j.bh.1001-5965.2017.0388

• 论文 • 上一篇    下一篇

新型单轴柔性铰链拓扑结构设计与柔度分析

邱丽芳, 陈海翔, 吴友炜   

  1. 北京科技大学 机械工程学院, 北京 100083
  • 收稿日期:2017-06-07 出版日期:2018-06-20 发布日期:2018-06-28
  • 通讯作者: 邱丽芳.E-mail:qlf@ustb.edu.cn E-mail:qlf@ustb.edu.cn
  • 作者简介:邱丽芳 女,博士,教授。主要研究方向:机械设计及理论、柔性机构设计及研究。
  • 基金资助:
    国家自然科学基金(51475037)

Topological structure design and compliance analysis of a new single-axis flexure hinge

QIU Lifang, CHEN Haixiang, WU Youwei   

  1. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China
  • Received:2017-06-07 Online:2018-06-20 Published:2018-06-28

摘要: 采用基于三维连续体拓扑优化理论的变密度法,以柔性铰链柔度比最大为目标,建立了单轴柔性铰链的拓扑优化模型。首先,借助OptiStruct软件设计出一种具有全新三维拓扑结构的单轴柔性铰链;其次,结合卡氏第二定理和能量法对该新型柔性铰链的转动性能进行理论分析,推导出该新型柔性铰链的柔度矩阵,通过16组实例的理论计算和有限元仿真分析,得到其相对误差在6.35%以内,验证了该新型柔性铰链柔度矩阵理论公式的正确性;最后,分析了具有相同切口轮廓的圆弧型柔性铰链和新型柔性铰链的柔度差异。结果表明:新型柔性铰链具有更大的柔度,其柔度性能提升300%。使用三维连续体拓扑优化方法,可为单轴柔性铰链的设计提供一个新思路。

关键词: 圆弧型柔性铰链, 三维连续体拓扑优化, 变密度法, 柔度比, 柔度分析

Abstract: Based on three-dimensional continuum topology optimization theory, aimed at maximizing compliance ratio, solid isotropic material with penalization model was used to establish the topology optimization model of a single-axis flexure hinge. With the help of OptiStruct, this paper designed a kind of single-axis flexure hinge with a new three-dimensional topological structure. Secondly, combining Castigliano's second theorem and the method of energy for the compliance of flexure hinge in theory, it deduced the compliance matrix of the new flexure hinge. 16 groups' analysis in theory and finite element simulation analysis showed the correctness of the theoretical formula because the relative error of analysis and FEA was within 6.35%. Finally, it compared the difference of compliance between the new flexure hinge and circular flexure hinge with the same cut profile. The results show that the new flexure hinge has much better performance in compliance. Compared with the circular flexure hinge, its compliance can be improved by 300%. Based on the three-dimensional continuum topology optimization method, this paper presented a new thought for the design of single-axis flexure hinge.

Key words: circular flexure hinge, three-dimensional continuum topology optimization, variable density method, compliance ratio, compliance analysis

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