Compliance analysis for thinned right-circular flexure hinge with three degrees of freedom

GUO Kang; NI Ming-yang; SUN Zhen; CHEN Hua-nan; WANG Dong-ping

doi:10.3788/OPE.20152313.0425

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Compliance analysis for thinned right-circular flexure hinge with three degrees of freedom

更新时间：2020-08-13

- Compliance analysis for thinned right-circular flexure hinge with three degrees of freedom
- Optics and Precision Engineering Vol. 23, Issue 10z, Pages: 425-431(2015)
- 作者机构：
  
  中国科学院长春光学精密机械与物理研究所应用光学国家重点实验室超精密光学工程研究中心,吉林长春,130033
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20152313.0425
  CLC： TH132;TP273
- Received：13 April 2015，
  
  Revised：15 May 2015，
  
  Published：14 November 2015
- 稿件说明：
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郭抗, 倪明阳, 孙振等. 具有三自由度的减薄直圆型柔性铰链柔度分析[J]. 光学精密工程, 2015,23(10z): 425-431

GUO Kang, NI Ming-yang, SUN Zhen etc. Compliance analysis for thinned right-circular flexure hinge with three degrees of freedom[J]. Editorial Office of Optics and Precision Engineering, 2015,23(10z): 425-431
郭抗, 倪明阳, 孙振等. 具有三自由度的减薄直圆型柔性铰链柔度分析[J]. 光学精密工程, 2015,23(10z): 425-431 DOI： 10.3788/OPE.20152313.0425.

GUO Kang, NI Ming-yang, SUN Zhen etc. Compliance analysis for thinned right-circular flexure hinge with three degrees of freedom[J]. Editorial Office of Optics and Precision Engineering, 2015,23(10z): 425-431 DOI： 10.3788/OPE.20152313.0425.

摘要

针对并联机构中常用的柔性铰链一般需要在多个方向上加工

难以实现与机构一体化的问题

提出了一种减薄的直圆型柔性铰链。该铰链具有三个转动自由度

仅需在一个方向上即可完成加工

便于应用于结构一体化的定位机构中。根据卡氏第二定理

推导了减薄直圆型柔性铰链的柔度公式

利用有限元分析对柔度公式进行了验证

并分析了铰链的结构参数对其柔度的影响。讨论了该型铰链应用时柔度设计的两种情况。结果表明:铰链柔度的理论计算值与有限元分析值的最大偏差在20%以内

对该型铰链柔度影响较大的结构尺寸依次是:厚度

、最小槽口间距

和圆角半径

。以上结论为具有三自由度的减薄直圆型柔性铰链的设计与应用提供了依据。

Abstract

As common flexures in a parallel mechanism usually are machined in different directions

and it is difficult to integrate with a monolithie configuration

this paper proposes a thinned right-circular flexure hinge with three degrees of freedom. The flexure hinge can be fabricated merely along one direction

and is benefit for the spherical hinge applied in positioning mechanism with monolithic configuration. Based on Castigliano's displacement theorem

the compliance formulas of the thinned right-circular flexure hinge were derived. Finite element analysis was adopted to verify the compliance formulas and analyze the effect of the structure parameters on the compliance of the flexure hinge. Two cases on the compliance design for the application of the flexure hinge were discussed. The results show that the maximum variance between the theoretically calculated compliance value and the finite element analysis compliance value is within 20%. The parameters with the greatest impact on the compliance of the flexure hinge are the thickness

the minimum notch spacing

and the fillet radius

successively. The above conclusions provide principles for the design and application of the thinned right-circular flexure hinge with three degrees of freedom.

关键词

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references

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