深切口椭圆柔性铰链

陈贵敏; 韩琪

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深切口椭圆柔性铰链

微纳技术与精密机械 | 更新时间：2020-08-12

- 深切口椭圆柔性铰链
- Deep-notch elliptical flexure hinges
- 光学精密工程 2009年17卷第3期页码：570-575
- 作者机构：
  
  西安电子科技大学机电工程学院,陕西西安,710071
- 作者简介：
- 基金信息：
  
  中国博士后科学基金资助项目(No.20070421110)();国家863高技术研究发展计划资助项目(No.2002AA862011)();国家自然科学基金青年基金资助
- DOI：
  中图分类号： TH132
- 收稿日期：2008-05-12，
  
  修回日期：2008-06-10，
  
  网络出版日期：2009-03-25，
  
  纸质出版日期：2009-03-25
- 稿件说明：
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陈贵敏, 韩琪. 深切口椭圆柔性铰链[J]. 光学精密工程, 2009,17(3): 570-575

CHEN Gui-min, HAN Qi. Deep-notch elliptical flexure hinges[J]. Editorial Office of Optics and Precision Engineering, 2009,17(3): 570-575
陈贵敏, 韩琪. 深切口椭圆柔性铰链[J]. 光学精密工程, 2009,17(3): 570-575 DOI：

CHEN Gui-min, HAN Qi. Deep-notch elliptical flexure hinges[J]. Editorial Office of Optics and Precision Engineering, 2009,17(3): 570-575 DOI：

摘要

提出了一类椭圆柔性铰链深切口椭圆柔性铰链

其切口的宽度为椭圆的短半轴

而切口的深度为椭圆的长半轴。基于材料力学中的变截面梁的弯曲理论

通过引入离心角作为积分变量

推导出了这类柔性铰链的转角、转动精度和最大应力的解析计算公式。这些公式简洁、规范

可用于工程设计中的计算和分析。用有限元分析软件ANSYS分析了多个不同尺寸的椭圆柔性铰链

分析结果与解析计算公式的计算结果吻合得很好。其中转角的最大误差不超过4%

最大应力的最大误差不超过5%

转动精度的最大误差不超过7%

说明了这些解析计算公式的正确性。分析结果也表明

这类铰链非常适合于要求高精度传动的应用场合。

Abstract

A kind of elliptical flexure hinge named deep-notch elliptical flexure hinge was proposed by taking notch width as the length of minor axis and notch deepth as the length of long axis for an ellipse. Based on the bending theory of beam with variable cross-section in material mechanics

the integral formula of the elliptical flexure hinge was deduced by inducing centrifugal angle as the integral variable. By defining an intermediate parameter in the integral formula

more concise analytical equations of compliance

rotation precision and maximum stress of elliptical flexure hinges were deduced to avoid time-consuming numerical integrals. A number of elliptical flexure hinges with different shapes were analyzed by using ANSYS finite element software. The analysis results are coincident with that of analytical formula well. Where

the maximum errors of angular displacement

maximum stress and rotation precision are less than 4%

5% and 7%

respectively. These data indicate that the analytical equations are correct and also show that deep-notch elliptical hinge is a good choice for high precision transmission.

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references

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