Dimensionless design graphs for flexure elements and a comparison between three flexure elements

Schotborgh, W.O.; Kokkeler, Frans; Tragter, Hendrik; Houten, Frederikus J.A.M. van

doi:10.1016/j.precisioneng.2004.04.003

Cited by 105 publications

(57 citation statements)

References 5 publications

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“…In order to improve the motion accuracy, there are a variety of flexure hinges have been proposed and utilized in the positioning system, including notch-type hinge [1][2][3], leaf-spring hinge [4][5][6], right elliptical hinge [7], V-shape flexure hinge [8], cross-axis flexural pivots [9][10][11], split-tube flexural pivots [12], cartwheel hinges [13][14][15][16][17], and so on. Among the proposed flexure hinges, the notch-type hinge and leaf-spring hinge are the most popular and widely utilized in precision positioning system.…”

Section: Introductionmentioning

confidence: 99%

Development of a piezo-driven 3-DOF stage with T-shape flexible hinge mechanism

Cai

Tian

Wang

et al. 2016

Robotics and Computer-Integrated Manufacturing

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full bibliographic details are credited, a hyperlink and/or URL is given for the original metadata page and the content is not changed in any way. A note on versions:The version presented here may differ from the published version or, version of record, if you wish to cite this item you are advised to consult the publisher's version. Please see the 'permanent WRAP url' above for details on accessing the published version and note that access may require a subscription. proposed to eliminate the nonlinear hysteresis, the trajectory tracking performances and to reduce external disturbance of the 3-DOF stage.

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Section: Introductionmentioning

confidence: 99%

Development of a piezo-driven 3-DOF stage with T-shape flexible hinge mechanism

Cai

Tian

Wang

et al. 2016

Robotics and Computer-Integrated Manufacturing

View full text Add to dashboard Cite

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“…Based on FEA, Schotborgh et al 21 presented dimensionless design graphs for the circular, cross, and beam hinges. These graphs can be used to determine the optimal geometry of flexure hinges.…”

Section: Introductionmentioning

confidence: 99%

Design and analysis of a high-accuracy flexure hinge

Liu

Zhang

Fatikow

2016

Review of Scientific Instruments

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This paper designs and analyzes a new kind of flexure hinge obtained by using a topology optimization approach, namely, a quasi-V-shaped flexure hinge (QVFH). Flexure hinges are formed by three segments: the left and right segments with convex shapes and the middle segment with straight line. According to the results of topology optimization, the curve equations of profiles of the flexure hinges are developed by numerical fitting. The in-plane dimensionless compliance equations of the flexure hinges are derived based on Castigliano's second theorem. The accuracy of rotation, which is denoted by the compliance of the center of rotation that deviates from the midpoint, is derived. The equations for evaluating the maximum stresses are also provided. These dimensionless equations are verified by finite element analysis and experimentation. The analytical results are within 8% uncertainty compared to the finite element analysis results and within 9% uncertainty compared to the experimental measurement data. Compared with the filleted V-shaped flexure hinge, the QVFH has a higher accuracy of rotation and better ability of preserving the center of rotation position but smaller compliance. Published by AIP Publishing. [http://dx

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“…If no PEA is not installed, the analytical results are obtained by substituting k PEA = 0 and η = 0 into Eq. (21). In this case, the estimation error of the analytical model (Analytical 1) is only −2%.…”

Section: Statics Of the Nano-manipulatormentioning

confidence: 84%

“…In literature, many analytical and empirical models have been established for the compliance/stiffness of a single flexure hinge [19][20][21]. In order to improve the performance, multiple flexure hinges are generally combined in various configurations, such as the parallelograms [22][23][24] and the statically indeterminate symmetric (SIS) structures [25].…”

Section: Introductionmentioning

confidence: 99%

Closed-Form Modeling and Analysis of an XY Flexure-Based Nano-Manipulator

Qin

Zhao

Shirinzadeh

et al. 2018

Chin. J. Mech. Eng.

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Flexure-based mechanisms are widely utilized in nano manipulations. The closed-form statics and dynamics modeling is difficult due to the complex topologies, the inevitable compliance of levers, the Hertzian contact interface, etc. This paper presents the closed-form modeling of an XY nano-manipulator consisting of statically indeterminate symmetric (SIS) structures using leaf and circular flexure hinges. Theoretical analysis reveals that the lever's compliance, the contact stiffness, and the load mass have significant influence on the static and dynamic performances of the system. Experiments are conducted to verify the effectiveness of the established models. If no piezoelectric actuator (PEA) is installed, the influence of the contact stiffness can be eliminated. Experimental results show that the estimation error on the output stiffness and first natural frequency can reach 2% and 1.7%, respectively. If PEAs are installed, the contact stiffness shows up in the models. As no effective method is currently available to measure or estimate the contact stiffness, it is impossible to precisely estimate the performance of the overall system. In this case, the established closed-form models can be utilized to calculate the bounds of the performance. The established closed-form models are widely applicable in the design and optimization of planar flexure-based mechanisms.Keywords: Flexure-based mechanism, Statically indeterminate structure, Dynamics, Lever mechanism, Piezoelectric actuator © The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

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Dimensionless design graphs for flexure elements and a comparison between three flexure elements

Cited by 105 publications

References 5 publications

Development of a piezo-driven 3-DOF stage with T-shape flexible hinge mechanism

Development of a piezo-driven 3-DOF stage with T-shape flexible hinge mechanism

Design and analysis of a high-accuracy flexure hinge

Closed-Form Modeling and Analysis of an XY Flexure-Based Nano-Manipulator

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