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Simplified equations of the compliant matrix for right elliptical flexure hinges

Authors :
Wei Liu
Ting Yuan
Changxiang Yan
J. Fu
Source :
Review of Scientific Instruments. 86:115115
Publication Year :
2015
Publisher :
AIP Publishing, 2015.

Abstract

The simplified compliance matrix for right elliptical hinges is presented in this paper by nonlinear curve fitting on the basis of the equations derived by Chen et al. [Rev. Sci. Instrum. 79, 095103 (2008)]. The equations of the rotation stiffness are then confirmed by comparison with results from finite element analysis and experimental measurements. Percentage errors between theoretical predictions and results from both the finite element analysis and experimental testing are within 5% for a range of geometries with the ratio s (b/t) between 1 and 14. The geometric parameter optimization for the purposes of maximizing the rotation stiffness for one universal hinge is utilized to illustrate the application of the simplified equations. The theoretical predictions are in good agreement with both the result of simulation and experiment for the universal hinge: the error between them is within 6.5%.

Details

ISSN :
10897623 and 00346748
Volume :
86
Database :
OpenAIRE
Journal :
Review of Scientific Instruments
Accession number :
edsair.doi.dedup.....881245252d4de6449742adf9e9d55e25