Design of symmetric conic-section flexure hinges based on closed-form compliance equations

The paper develops closed-form compliance equations for conic-section (circular, elliptic, parabolic and hyperbolic) flexure hinges. Finite element simulation results confirm the theoretical formulation data. The main objectives are to predict the deformation/displacement field of a flexure hinge un...

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Bibliographic Details
Published inMechanism and machine theory Vol. 37; no. 5; pp. 477 - 498
Main Authors Lobontiu, Nicolae, Paine, Jeffrey S.N., Garcia, Ephrahim, Goldfarb, Michael
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.05.2002
New York, NY Elsevier
Subjects
Applied sciences
Circular
Compliance
Drives
Elliptic
Exact sciences and technology
Flexure hinges
Hyperbolic
Linkage mechanisms, cams
Mechanical engineering. Machine design
Parabolic
Precision engineering, watch making
Rotation precision
Circular
Rotation precision
Parabolic
Compliance
Hyperbolic
Flexure hinges
Elliptic
Finite element method
Compliant mechanism
Hinge
Mechanism synthesis
Precision engineering
Numerical method
Closed form equation
Modeling
Exact solution
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Summary:The paper develops closed-form compliance equations for conic-section (circular, elliptic, parabolic and hyperbolic) flexure hinges. Finite element simulation results confirm the theoretical formulation data. The main objectives are to predict the deformation/displacement field of a flexure hinge under loading and to assess the precision of rotation for a specific conic flexure hinge. A non-dimensional analysis is carried out to discuss both problems. Conclusions are formulated regarding the performance of circular, elliptic, parabolic, and hyperbolic flexure hinges.
ISSN:0094-114X
1873-3999
DOI:10.1016/S0094-114X(02)00002-2