Design of Cartwheel bi-axial flexural hinge

LI Zong-xuan1; 2; ZHANG Lei1; YAO Jin-song1; XIE Peng1; JIN Guang1; KONG Lin1

doi:10.3788/OPE.20132109.2317

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Design of Cartwheel bi-axial flexural hinge

更新时间：2020-08-12

- Design of Cartwheel bi-axial flexural hinge
- Optics and Precision Engineering Vol. 21, Issue 9, Pages: 2317-2325(2013)
- 作者机构：
  
  1. ．中国科学院长春光学精密机械与物理研究所小卫星技术国家地方联合工程研究中心,吉林长春,130033
  2. 中国科学院大学北京,100039
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20132109.2317
  CLC： TH133
- Received：25 May 2012，
  
  Revised：14 July 2012，
  
  Published Online：30 September 2013，
  
  Published：15 September 2013
- 稿件说明：
移动端阅览
李宗轩张雷姚劲松解鹏金光孔林. Cartwheel型双轴柔性铰链设计[J]. 光学精密工程, 2013,21(9): 2317-2325

LI Zong-xuan ZHANG Lei YAO Jin-song XIE Peng JIN Guang KONG Lin. Design of Cartwheel bi-axial flexural hinge[J]. Editorial Office of Optics and Precision Engineering, 2013,21(9): 2317-2325
李宗轩张雷姚劲松解鹏金光孔林. Cartwheel型双轴柔性铰链设计[J]. 光学精密工程, 2013,21(9): 2317-2325 DOI： 10.3788/OPE.20132109.2317.

LI Zong-xuan ZHANG Lei YAO Jin-song XIE Peng JIN Guang KONG Lin. Design of Cartwheel bi-axial flexural hinge[J]. Editorial Office of Optics and Precision Engineering, 2013,21(9): 2317-2325 DOI： 10.3788/OPE.20132109.2317.

摘要

针对精密光学仪器对光学元件柔性支撑的需求，提出了由带圆角的短直梁复合组成的Cartwheel型双轴柔性铰链，并利用无量纲设计图研究了设计方法。首先，基于对Cartwheel双轴柔性铰链的参数化有限元分析进行多项式拟合，建立了其刚度、应力等力学指标的无量纲设计图。针对光学仪器的工程需要，利用该无量纲设计图进行了实例设计，并利用有限元分析对其进行了实验验证。搭建了光学测试平台，对设计实例的转动刚度进行了测量。结果显示：有限元分析结果、实验测量数据与设计结果符合得较好，最大相对误差为10.1%。使用无量纲设计图方法作为设计工具，设计者可根据对带圆角短直梁复合组成的Cartwheel型双轴柔性铰链的刚度、转角行程、最大应力与结构重量等要求，确定其几何尺寸，从而方便、快速、准确地满足设计要求。

Abstract

To realize the flexural support for optical elements in a precision optical instrument

a Cartwheel bi-axial flexural hinge composed by filleted short beams was proposed. The dimensionless design graph method for the design of the spatial flexural hinge was presented. First

the parametric finite element analysis on the Cartwheel bi-axial flexural hinge was performed

and then a polynomial fitting was carried out according to the analysis results to establish the dimensionless design graph for the mechanical characteristics of the flexural hinge

such as rotational stiffness and maximum stress. A practical design by the dimensionless graph method was performed to satisfy the supporting demand of an optical instrument

and the finite element analysis was used to verify it also. Finally

an optical test platform was established

and the rotational stiffness of the design was measured. Obtained results show that the maximum relative error of the rotational stiffness between analysis result

test result and design result is 10.1%. In conclusion

by using the dimensionless design graph as a design tool

a designer can determine the optimal geometry rapidly and correctly of the Cartwheel bi-axial flexural hinge based upon its demands for the stiffness

rotation angle

maximum stress and the weight. This paper can provide reference for the application of the Cartwheel bi-axial flexural hinge in precision optical instruments.

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references

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