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

Li Rui-qi; Wu Bai-sheng; Chen Xin; Yang Zhi-jun

doi:doi:10.11648/j.ijmea.20180603.14

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

Li Rui-qi, Wu Bai-sheng, Chen Xin, Yang Zhi-jun

Published in International Journal of Mechanical Engineering and Applications (Volume 6, Issue 3)

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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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

Li Rui-qi

Micro and Nano Processing Equipment and Technology Key Laboratory of Guangdong Province, Guangdong University of Technology, Guangzhou, China
Wu Bai-sheng

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

Micro and Nano Processing Equipment and Technology Key Laboratory of Guangdong Province, Guangdong University of Technology, Guangzhou, China
Yang Zhi-jun

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

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Plain Text BibTeX RIS

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}
}

Copy | Download

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  -

Copy | Download