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Analytical Solution of Stiffness for a Corner-Fillet Leaf-Spring Type Flexure Hinge with a Long Fatigue Life

Received: 17 May 2018     Accepted: 5 June 2018     Published: 29 June 2018
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Abstract

Flexure hinges as the displacement guiding and amplifying mechanism or sensing component are widely used for micro-actuators and sensors. However, the existing flexure hinges, leaf-spring or notch type, cause serious stress concentration which severely weaken the fatigue life of compliance mechanism. Therefore, developing long fatigue life flexure hinges is very important for high working frequency actuators and sensors, such as fast-tool-servo. Corner-fillet leaf-spring type flexure hinge could provide large displacement with lower stress. Stiffness expressions of it with both fixed-fixed and fixed-guided boundary conditions are derived by using Castigliano’s theorem. The main influence factors for stress concentration are investigated and the formulas of stress concentration factor are obtained in terms of ratio of fillet radius to the minimum thickness. These analytical formulas have been verified by comparing with finite element analysis (FEA) results. Stress-life method is chosen to research the influence of fillet radius on fatigue life and the results indicate fillet radius can improve fatigue life of flexure hinge effectively. The proposed analytical solution is the fundamental of optimal design of a leaf-spring type flexure hinge based mechanism with fatigue life constraints.

Published in International Journal of Mechanical Engineering and Applications (Volume 6, Issue 3)
DOI 10.11648/j.ijmea.20180603.14
Page(s) 64-72
Creative Commons

This is an Open Access article, 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 or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

Stiffness, Stress Concentration, Corner-Fillet, Flexure Hinge, Long Fatigue Life

References
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Cite This Article
  • APA Style

    Li Rui-qi, Wu Bai-sheng, Chen Xin, Yang Zhi-jun. (2018). Analytical Solution of Stiffness for a Corner-Fillet Leaf-Spring Type Flexure Hinge with a Long Fatigue Life. International Journal of Mechanical Engineering and Applications, 6(3), 64-72. https://doi.org/10.11648/j.ijmea.20180603.14

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    ACS Style

    Li Rui-qi; Wu Bai-sheng; Chen Xin; Yang Zhi-jun. Analytical Solution of Stiffness for a Corner-Fillet Leaf-Spring Type Flexure Hinge with a Long Fatigue Life. Int. J. Mech. Eng. Appl. 2018, 6(3), 64-72. doi: 10.11648/j.ijmea.20180603.14

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    AMA Style

    Li Rui-qi, Wu Bai-sheng, Chen Xin, Yang Zhi-jun. Analytical Solution of Stiffness for a Corner-Fillet Leaf-Spring Type Flexure Hinge with a Long Fatigue Life. Int J Mech Eng Appl. 2018;6(3):64-72. doi: 10.11648/j.ijmea.20180603.14

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  • @article{10.11648/j.ijmea.20180603.14,
      author = {Li Rui-qi and Wu Bai-sheng and Chen Xin and Yang Zhi-jun},
      title = {Analytical Solution of Stiffness for a Corner-Fillet Leaf-Spring Type Flexure Hinge with a Long Fatigue Life},
      journal = {International Journal of Mechanical Engineering and Applications},
      volume = {6},
      number = {3},
      pages = {64-72},
      doi = {10.11648/j.ijmea.20180603.14},
      url = {https://doi.org/10.11648/j.ijmea.20180603.14},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmea.20180603.14},
      abstract = {Flexure hinges as the displacement guiding and amplifying mechanism or sensing component are widely used for micro-actuators and sensors. However, the existing flexure hinges, leaf-spring or notch type, cause serious stress concentration which severely weaken the fatigue life of compliance mechanism. Therefore, developing long fatigue life flexure hinges is very important for high working frequency actuators and sensors, such as fast-tool-servo. Corner-fillet leaf-spring type flexure hinge could provide large displacement with lower stress. Stiffness expressions of it with both fixed-fixed and fixed-guided boundary conditions are derived by using Castigliano’s theorem. The main influence factors for stress concentration are investigated and the formulas of stress concentration factor are obtained in terms of ratio of fillet radius to the minimum thickness. These analytical formulas have been verified by comparing with finite element analysis (FEA) results. Stress-life method is chosen to research the influence of fillet radius on fatigue life and the results indicate fillet radius can improve fatigue life of flexure hinge effectively. The proposed analytical solution is the fundamental of optimal design of a leaf-spring type flexure hinge based mechanism with fatigue life constraints.},
     year = {2018}
    }
    

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  • TY  - JOUR
    T1  - Analytical Solution of Stiffness for a Corner-Fillet Leaf-Spring Type Flexure Hinge with a Long Fatigue Life
    AU  - Li Rui-qi
    AU  - Wu Bai-sheng
    AU  - Chen Xin
    AU  - Yang Zhi-jun
    Y1  - 2018/06/29
    PY  - 2018
    N1  - https://doi.org/10.11648/j.ijmea.20180603.14
    DO  - 10.11648/j.ijmea.20180603.14
    T2  - International Journal of Mechanical Engineering and Applications
    JF  - International Journal of Mechanical Engineering and Applications
    JO  - International Journal of Mechanical Engineering and Applications
    SP  - 64
    EP  - 72
    PB  - Science Publishing Group
    SN  - 2330-0248
    UR  - https://doi.org/10.11648/j.ijmea.20180603.14
    AB  - Flexure hinges as the displacement guiding and amplifying mechanism or sensing component are widely used for micro-actuators and sensors. However, the existing flexure hinges, leaf-spring or notch type, cause serious stress concentration which severely weaken the fatigue life of compliance mechanism. Therefore, developing long fatigue life flexure hinges is very important for high working frequency actuators and sensors, such as fast-tool-servo. Corner-fillet leaf-spring type flexure hinge could provide large displacement with lower stress. Stiffness expressions of it with both fixed-fixed and fixed-guided boundary conditions are derived by using Castigliano’s theorem. The main influence factors for stress concentration are investigated and the formulas of stress concentration factor are obtained in terms of ratio of fillet radius to the minimum thickness. These analytical formulas have been verified by comparing with finite element analysis (FEA) results. Stress-life method is chosen to research the influence of fillet radius on fatigue life and the results indicate fillet radius can improve fatigue life of flexure hinge effectively. The proposed analytical solution is the fundamental of optimal design of a leaf-spring type flexure hinge based mechanism with fatigue life constraints.
    VL  - 6
    IS  - 3
    ER  - 

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Author Information
  • Micro and Nano Processing Equipment and Technology Key Laboratory of Guangdong Province, Guangdong University of Technology, Guangzhou, China

  • Micro and Nano Processing Equipment and Technology Key Laboratory of Guangdong Province, Guangdong University of Technology, Guangzhou, China

  • Micro and Nano Processing Equipment and Technology Key Laboratory of Guangdong Province, Guangdong University of Technology, Guangzhou, China

  • Micro and Nano Processing Equipment and Technology Key Laboratory of Guangdong Province, Guangdong University of Technology, Guangzhou, China

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