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A unified element stiffness matrix model for variable cross-section flexure hinges in compliant mechanisms for micro/nano positioning
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Tian, Yanling, Yang, Mingxuan, Wang, Fujun, Zhou, Chongkai, Zhao, Xingyu and Zhang, Dawei (2019) A unified element stiffness matrix model for variable cross-section flexure hinges in compliant mechanisms for micro/nano positioning. Microsystem Technologies, 25 . pp. 4257-4268. doi:10.1007/s00542-019-04410-6 ISSN 0946-7076.
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WRAP-unified-element-stiffness-matrix-model-variable-cross-section-flexure-hinges-Tian-2019.pdf - Accepted Version - Requires a PDF viewer. Download (1738Kb) | Preview |
Official URL: http://dx.doi.org/10.1007/s00542-019-04410-6
Abstract
This paper presents a unified analytical model of element stiffness matrix for variable cross-section flexure hinges in plane deformation which is most frequently employed in planar-motion compliant mechanisms for micro/nano positioning. The unified analytical model is derived for flexure hinges in plane deformation based on the principle of virtual work. The derivation is generalized such that it can be applied to various geometries. To optimize and simplify element stiffness matrix model, four coefficients with curve integral are introduced. The results of the analysis were validated in part by modeling several previously investigated configurations, namely flexible beam hinge and right circular hinge. To further validate the proposed analytical model, finite element analysis and experimental testing were used. And the experimental testing shows the proposed unified model is more precise than pseudo-rigid-body method. The proposed model provides a concise and generalized solution to derive the element stiffness matrices of flexible hinges in plane deformation, which will have excellent applications in design and analysis of variable cross-section flexible hinges in compliant mechanisms.
Item Type: | Journal Article | |||||||||||||||||||||||||||
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Subjects: | T Technology > TS Manufactures | |||||||||||||||||||||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering | |||||||||||||||||||||||||||
Library of Congress Subject Headings (LCSH): | Hinges -- Design and construction -- Mathematical models, Strains and stresses | |||||||||||||||||||||||||||
Journal or Publication Title: | Microsystem Technologies | |||||||||||||||||||||||||||
Publisher: | Springer | |||||||||||||||||||||||||||
ISSN: | 0946-7076 | |||||||||||||||||||||||||||
Official Date: | November 2019 | |||||||||||||||||||||||||||
Dates: |
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Volume: | 25 | |||||||||||||||||||||||||||
Page Range: | pp. 4257-4268 | |||||||||||||||||||||||||||
DOI: | 10.1007/s00542-019-04410-6 | |||||||||||||||||||||||||||
Status: | Peer Reviewed | |||||||||||||||||||||||||||
Publication Status: | Published | |||||||||||||||||||||||||||
Reuse Statement (publisher, data, author rights): | This is a post-peer-review, pre-copyedit version of an article published in Microsystem Technologies. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00542-019-04410-6 | |||||||||||||||||||||||||||
Access rights to Published version: | Restricted or Subscription Access | |||||||||||||||||||||||||||
Date of first compliant deposit: | 29 May 2019 | |||||||||||||||||||||||||||
Date of first compliant Open Access: | 30 March 2020 | |||||||||||||||||||||||||||
RIOXX Funder/Project Grant: |
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