二自由度平板折展柔性铰链的分析及优化

doi:10.7527/S1000-6893.2016.0142

材料工程与机械制造

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二自由度平板折展柔性铰链的分析及优化

刘凯¹, 曹毅^1,2,3, 周睿¹, 葛姝翌¹, 丁锐¹

1. 江南大学机械工程学院, 无锡 214122;
2. 上海交通大学机械系统与振动国家重点实验室, 上海 200240;
3. 江南大学江苏省食品先进制造装备技术重点实验室, 无锡 214122

收稿日期:2016-04-14 修回日期:2016-05-04 出版日期:2017-02-15 发布日期:2016-05-10
通讯作者: 曹毅,E-mail:caoyi@jiangnan.edu.cn E-mail:caoyi@jiangnan.edu.cn
基金资助:
国家自然科学基金（50905075）；江苏省“六大人才高峰”计划（ZBZZ-012）；中央高校基本科研业务费专项资金（JUSRP51316B）；机械系统与振动国家重点实验室开放课题（MSV201712）；机器人技术与系统国家重点实验室开放基金（SKLRS-2016-KF-06）

Analysis and optimization of two-degree of freedom LEMs flexure hinge

LIU Kai¹, CAO Yi^1,2,3, ZHOU Rui¹, GE Shuyi¹, DING Rui¹

1. School of Mechanical Engineering, Jiangnan University, Wuxi 214122, China;
2. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiaotong University, Shanghai 200240, China;
3. Jiangsu Key Laboratory of Advanced Food Manufacturing Equipment and Technology, Jiangnan University, Wuxi 214122, China

Received:2016-04-14 Revised:2016-05-04 Online:2017-02-15 Published:2016-05-10
Supported by:
National Natural Science Foundation of China (50905075); Six Talent Peaks Project in Jiangsu Province (ZBZZ-012); Fundamental Research Funds for the Central Universities (JUSRP51316B); Open Project of State Key Laboratory of Mechanical System and Vibration of China (MSV201712); Open Project of the State Key Laboratory of Robotics and System of China (SKLRS-2016-KF-06)

摘要/Abstract

摘要：

为提高平板折展机构（LEMs）的灵活性，提出了一种能实现平面内及平面外转动的二自由度柔性铰链。首先，综合椭圆柔性铰链与LET柔性铰链的结构特点，设计了二自由度平板折展柔性铰链；其次，利用弹簧模型推导了该铰链两个方向的转动等效刚度计算模型，并通过设计实例的理论计算与有限元仿真分析对比，验证了两个理论模型的正确性；然后，探讨了各结构参数对铰链两种转动刚度的影响；最后，以提高二自由度平板折展柔性铰链的转动性能为目标，建立了其优化设计模型，并采用自适应粒子群优化算法对该铰链的结构参数进行了优化。优化结果表明：铰链y轴方向转动刚度下降了83.60%，z轴方向转动刚度下降了92.73%，二自由度平板折展柔性铰链两个方向的转动性能都得到了极大的提升，优化结果完全符合预期。

关键词: 平板折展机构(LEMs), 二自由度平板折展柔性铰链, 刚度模型, 有限元分析, 参数优化

Abstract:

In order to improve the flexibility of lamina emergent mechanisms (LEMs), a two-degree of freedom LEMs flexure hinge that can realize in-plane and out-of-plane rotation is proposed. The structure of the two-degree of freedom LEMs flexure hinge is designed combining the features of elliptical flexure hinge with LET flexure hinge. The theoretical models of the rotational equivalent stiffness along axes y and z for the two-degree of freedom LEMs flexure hinge are deduced using spring models. The correctness of the theoretical models is verified by comparing the theoretical calculation and the finite element analysis. The impact of structural parameters on two kinds of rotational stiffness is also discussed. An optimization model is then established to increase the rotation property of two-degree of freedom LEMs flexure hinge, and the structure parameters are optimized by adaptive particle swarm optimization. The results of optimization show that the rotation property is improved significantly when the rotational stiffness in the y and the z directions decreases by 83.60% and 92.73% respectively. The optimization is in line with our expectation.

Key words: lamina emergent mechanisms (LEMs), two-degree of freedom LEMs flexure hinge, stiffness model, finite element analysis, parameter optimization

中图分类号:

刘凯, 曹毅, 周睿, 葛姝翌, 丁锐. 二自由度平板折展柔性铰链的分析及优化[J]. 航空学报, 2017, 38(2): 420317-420326.

LIU Kai, CAO Yi, ZHOU Rui, GE Shuyi, DING Rui. Analysis and optimization of two-degree of freedom LEMs flexure hinge[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(2): 420317-420326.

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主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

二自由度平板折展柔性铰链的分析及优化

Analysis and optimization of two-degree of freedom LEMs flexure hinge

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