Derivation of Empirical Compliance Equations for Circular Flexure Hinge Considering the Effect of Stress Concentration

被引：29

作者：

Li, Tie-Min ^{[1
,2
]}

Zhang, Jing-Lei ^{[1
]}

Jiang, Yao ^{[1
]}

机构：

[1] Tsinghua Univ, Mfg Engn Inst, Dept Mech Engn, Beijing 100084, Peoples R China

[2] Tsinghua Univ, Beijing Key Lab Precis Ultraprecis Mfg Equipments, Beijing 100084, Peoples R China

来源：

INTERNATIONAL JOURNAL OF PRECISION ENGINEERING AND MANUFACTURING | 2015年 / 16卷 / 08期

基金：

美国国家科学基金会;

关键词：

Circular flexure hinge; Compliance modeling; Stress concentration; DISPLACEMENT AMPLIFICATION; DESIGN EQUATIONS; MECHANISMS; STAGE; OPTIMIZATION; FORMULATIONS; POSITIONER; MODEL;

D O I：

10.1007/s12541-015-0228-5

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper presents the compliance modeling of circular flexure hinge. The calculation accuracies of several compliance equations are firstly compared with the finite element analysis (FEA) results. Then the influences of the stress concentration on the compliance calculations of the flexure hinge are analyzed systematically It shows that the stress concentration has great influence on the axial compliance calculation. Utilizing the exponential model, empirical compliance equations of circular flexure hinge are derived, and the influences of the stress concentration on the axial compliance are considered. These empirical compliance equations are verified to be with high calculation accuracy for a wide range of t/R ratios. Finally, the empirical compliance equations are utilized to analyze the compliance and displacement amplification ratio of a bridge-type compliant amplifier. The results are compared with FM software, and it proves the accuracy and effectiveness of these empirical equations once again. In addition, the modeling method presented in this paper is general and can also be applied to the compliance equations derivation of other types of flexure hinges.

引用

页码：1735 / 1743

页数：9

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