Author Name | Affiliation | Yongyao Yan | Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Science, Jilin 130033, China University of Chinese Academy of Sciences, Beijing 100049,China | Wei Liu | Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Science, Jilin 130033, China | Changxiang Yan | Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Science, Jilin 130033, China | Jinjiang Fu | Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Science, Jilin 130033, China University of Chinese Academy of Sciences, Beijing 100049,China |
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Abstract: |
The purpose of this thesis is to derive the flexibility formula of the corner-filleted flexure hinge easily and conveniently and use it to design a micro-rotation compliant mechanism. Firstly, we get the corner-filleted flexure hinge flexibility formula by methods of symmetry transformation and coordinates translation. The correctness of this formula is validated on the basis of the finite element method and under the premise that the effects of shear stress are taken into consideration. Then a micro-rotation compliant mechanism is designed in accordance with the corner-filleted flexure hinge, and the deduction and analysis of its working moment/rigidity are conducted. Moreover, this theoretical formula is proved to be accurate and reliable through the finite element analysis and the experimental verification, based on which the structural design and optimization can be made on the rotating part of a micro adjustment device.The results illustrate that designing and optimizing the structures by the analysis model is convenient and reliable so that complicated 3D modeling and finite element analysis are not needed. |
Key words: flexure hinge corner-filleted compliant mechanism rigidity optimization analysis model |
DOI:10.11916/j.issn.1005-9113.15372 |
Clc Number:TH122 |
Fund: |
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Descriptions in Chinese: |
基于直梁圆角型柔性铰链的小转角柔顺机构 鄢永耀1,2,刘伟1 ,颜昌翔1 ,付锦江1,2 (1.中国科学院 长春光学精密机械与物理研究所,吉林 130033; 2.中国科学院大学,北京 100049) 创新点说明:1)通过对称变换和坐标平移的方法较为简单方便的推导出了直梁圆角型柔性铰链的柔度公式; 2)设计了一种由8个直梁圆角型柔性铰链组成的适用于某快速微调装置中的小转角柔顺机构 研究目的: 根据研究的直梁圆角型柔性铰链柔度公式及小转角柔顺机构力学特性,对某快速微调机构的旋转部分进行结构设计及优化。 研究方法: 1)对称变换及坐标变换的方法(理论计算); 2)三维建模和有限元分析; 3)建立优化模型及运用matlab软件的fmincon优化指令。 结果: 1)推导了直梁圆角型柔性铰链的柔度公式; 2)设计了小转角柔顺机构,并推导出了工作力矩/刚度的理论公式; 3)根据某快速微调机构的技术要求,进行了结构设计及优化。 结论: 1)本文通过采用对称变换及坐标变换的方法,相比于传统的微积分直接计算更加简单方便的推导出了倒圆角柔性铰链的柔度公式,经验证,理论推导的结果与有限元结果比较大体一致,误差不超过8%。 2)结合此倒圆角柔性铰链的柔度公式,研究出一种一维旋转机构——小转角柔性机构,并推导出工作力矩/刚度的理论公式,分析了结构参数对工作刚度的影响,通过有限元分析及测试实验验证了柔性机构的力矩理论公式准确可靠。 3)根据某空间项目的技术要求,设计了相应的小转角柔性机构,并通过优化模型对此柔性机构进行了尺寸优化使得其满足约束条件的同时工作力矩尽量小。 关键词:柔性铰链,直梁圆角,柔顺机构,刚度,优化,理论模型 |