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Journal ArticleDOI

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

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TLDR
In this paper, closed-form compliance equations for conic-section flexure hinges were developed to predict the deformation/displacement field of a flexure hinge under loading and to assess the precision of rotation for a specific conic hinge.
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This article is published in Mechanism and Machine Theory.The article was published on 2002-05-01. It has received 189 citations till now. The article focuses on the topics: Hinge & Finite element method.

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Citations
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Invited review article: high-speed flexure-guided nanopositioning: mechanical design and control issues.

TL;DR: This paper surveys key advances in mechanical design and control of dynamic effects and nonlinearities, in the context of high-speed nanopositioning, as well as future challenges and research topics.
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Review of circular flexure hinge design equations and derivation of empirical formulations

TL;DR: In this paper, a comparison of various compliance/stiffness equations of circular flexure hinges with FEA results is presented, based on the limitations of these design equations, a guideline for selecting the most accurate equations for hinge design calculations is presented.
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Analytical model of displacement amplification and stiffness optimization for a class of flexure-based compliant mechanisms

TL;DR: In this paper, an analytical method for displacement and stiffness calculations of planar compliant mechanisms with single-axis flexure hinges is proposed, based on the strain energy and Castigliano's displacement theorem and produces closed-form equations that incorporate the compliances characterizing any analytically defined hinge.
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Development and dynamic modelling of a flexure-based Scott-Russell mechanism for nano-manipulation

TL;DR: In this article, a piezo-driven flexure-based Scott-Russell mechanism for nano-manipulations is presented, which is monolithically constructed to provide high positioning accuracy and longterm repeatability.
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Three flexure hinges for compliant mechanism designs based on dimensionless graph analysis

TL;DR: In this paper, the in-plane and out-of-plane stiffnesses of the flexure hinges are derived for the purpose of optimized geometric design, based on the developed methodologies, the influences of the geometric parameters on the performance of the flexible hinge are investigated.
References
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Book

Flexures: Elements of Elastic Mechanisms

TL;DR: Flexure Design: Advantages and Disadvantages of Flexures as discussed by the authors The main advantages and disadvantages of flexible design are: Basic Elasticity. Fatigue. Vibrations and Natural Frequencies of Continuous Systems.
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Corner-Filleted Flexure Hinges

TL;DR: In this paper, an analytical approach to corner-filleted flexure hinges is presented, where closed-form solutions for the in-plane compliance factors are derived for the CFI.
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Elliptical flexure hinges

TL;DR: In this article, the authors presented closed form equations based on a modification of those originally derived by Paros and Weisbord in 1965, for the mechanical compliance of a simple monolithic flexure hinge of elliptic cross section, the geometry of which is determined by the ratio e of the major and minor axes.
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Flexure hinges for piezoactuator displacement amplifiers: flexibility, accuracy, and stress considerations

TL;DR: In this article, the design of flexure hinges for piezoelectric actuators is compared with more complex corner-filleted and elliptical forms that can now be manufactured by wire electrodischarge machining.