Abstract
A variable stiffness joint using a leaf spring is designed to ensure physical safety. The joint stiffness is often controlled by changing the effective length of the leaf spring. The stiffness model based on the small-deformation theory cannot solve large deflection problems of the leaf spring caused by larger joint deflected angles. The elliptic integral solution is considered to be the most accurate method for analyzing large deflections of beams. In this paper, a stiffness analysis model based on the elliptic integral solution is proposed. The joint stiffness property is analyzed. The simulation results show the joint stiffness is nonmonotonic and strong nonlinear. A stiffness simplified model is presented by nonlinear curve fitting for application simplicity. The experiment is carried out to verify the stiffness property and the stiffness analysis model.
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References
Choi, J., Hong, S., et al.: A robot joint with variable stiffness using leaf springs. IEEE Trans. Robot. 27(2), 229–238 (2011)
Morita, T., Sugano, S.: Development of an anthropomorphic force-controlled manipulator WAM-10. In: 8th International Conference on Advanced Robotics, Monterey, CA, pp. 701–706 (1997)
Wang, R.J., Huang, H.P.: ADEA—Active variable stiffness differential elastic actuator: design and application for safe robotics. In: IEEE International Conference on Robotics and Biomimetics, Phuken, Thailand, pp. 2768–2773 (2011)
Tao, Y., Wang, T., Wang, Y.: A new variable stiffness robot joint. Ind. Robot 42(4), 371–378 (2015)
Liu, L., Leonhardt, S., Misgeld, B.J.E.: Design and control of a mechanical rotary variable impedance actuator. Mechatronics 39, 226–236 (2016)
Tari, H., Kinzel, G.L., Mendelsohn, D.A.: Cartesian and piecewise parametric large deflection solutions of tip point loaded Euler-Bernoulli cantilever beams. Int. J. Mech. Sci. 100, 216–225 (2015)
Alkhaldi, H.S., Abu-Alshaikh, I., et al.: Closed-form solution of large deflection of a spring-hinged beam subjected to non-conservative force and tip end moment. Eur. J. Mech. A/Solids 47, 271–279 (2014)
Zhang, A., Chen, G.: A comprehensive elliptic integral solution to the large deflection problems of thin beams in compliant mechanisms. J. Mech. Robot. 5(2), 021006 (2013)
Zhang, A., Chen, G., Jia, J.: Large deflection modeling of cross-spring pivots based on comprehensive elliptic integral solution. Jixie Gongcheng Xuebao 50(11), 80–85 (2014)
Howell, L.L.: Compliant Mechanisms. Wiley-Interscience, New York (2001)
Acknowledgment
The authors gratefully acknowledge the financial support from the National Natural Science Foundation of China under Grant No. 51575092.
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Fang, L., Wang, Y. (2017). Stiffness Analysis of a Variable Stiffness Joint Using a Leaf Spring. In: Huang, Y., Wu, H., Liu, H., Yin, Z. (eds) Intelligent Robotics and Applications. ICIRA 2017. Lecture Notes in Computer Science(), vol 10463. Springer, Cham. https://doi.org/10.1007/978-3-319-65292-4_20
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DOI: https://doi.org/10.1007/978-3-319-65292-4_20
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