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A Synthesis of a Six Bar Mechanism with Nonlinear Stiffness for Prismatic Compliant Joint

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Advances in Robot Design and Intelligent Control (RAAD 2016)

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Abstract

A prismatic compliant joint (PCJ) composed of a linear spring and a six-bar mechanism is proposed in this paper. The operating principle of the PCJ is discussed and its mathematical model is established. The main contribution of the proposed PCJ lies in its nonlinear stiffness capability achieved thanks to only passive mechanical elements. An optimal synthesis of the six-bar mechanism with nonlinear stiffness is presented. A genetic algorithm approach (GA) is used in order to explore and identify optimal design solutions. A CAD model and a first prototype of the PCJ are presented.

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References

  1. Park, J.-J., Kim, B.-S., Song, J.-B., Kim, H.-S.: Safe link mechanism based on passive compliance for safe human-robot collision. In: 2007 IEEE International Conference on Robotics and Automation, pp. 1152–1157, 10–14 April 2007

    Google Scholar 

  2. Koganezawa, K., Inaba, T., Nakazawa, T.: Stiffness and angle control of antagonistically driven joint. In: Proceedings of the IEEE/RAS-EMBS International Conference on Biomedical Robotics and Biomechatronics, pp. 1007–1013 (2006)

    Google Scholar 

  3. English, C., Russell, D.: Mechanics and stiffness limitations of a variable stiffness actuator for use in prosthetic limbs. Mech. Mach. Theory 34(1), 7–25 (1999)

    Article  MATH  Google Scholar 

  4. Torres-Jara, E., Banks, J.: A simple and scalable force actuator. In: Proceedings of the 35th International Symposium on Robotics (2004)

    Google Scholar 

  5. Schiavi, R., Grioli, G., Sen, S., Bicchi, A.: VSA-II: a novel prototype of variable stiffness actuator for safe and performing robots interacting with humans. In: Proceedings of the IEEE International Conference on Robotics and Automation, pp. 2171–2176 (2008)

    Google Scholar 

  6. Zinn, M., Khatib, O., Roth, B., Salisbury, J.K.: A new actuation approach for human-friendly robot design. Int. J. Robot. Res. 23(4/5), 379–398 (2005)

    Google Scholar 

  7. Park, J.-J., Kim, H.-S., Song, J.-B.: Safe robot arm with safe joint mechanism using nonlinear spring system for collision safety. In: IEEE International Conference on Robotics and Automation ICRA 2009, pp. 3371–3376, 12–17 May 2009

    Google Scholar 

  8. Park, J.-J., Kim, B.-S., Song, J.-B., Kim, H.-S.: Safe link mechanism based on nonlinear stiffness for collision safety. Mech. Mach. Theory 43(10), 1332–1348 (2007)

    Article  MATH  Google Scholar 

  9. Van Ham, R., Sugar, T., Vanderborght, B., Hollander, K., Lefeber, D.: Compliant actuator designs. IEEE Robot. Autom. Mag. 16(3), 81–94 (2009)

    Article  Google Scholar 

  10. Rodríguez, A.G., Chacón, J.M., Donoso, A.: Design of an adjustable-stiffness spring: Mathematical modeling and simulation, fabrication and experimental validation. Mech. Mach. Theory 46, 1970–1979 (2011)

    Article  Google Scholar 

  11. Wu, Y.-S., Lan, C.-C.: Linear variable-stiffness mechanisms based on preloaded curved beams. ASME J. Mech. Des. 136(12), 122302 (2014)

    Article  MathSciNet  Google Scholar 

  12. Wu, T.-H., Lan, C.-C.: Design and analysis of a linear elastic mechanism with adjustable stiffness. In: The 14th IFToMM World Congress, Taipei, Taiwan, 25–30 October 2015

    Google Scholar 

  13. Goldberg, D.E.: Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley Publishing, Massachusetts (1994)

    Google Scholar 

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Acknowledgments

This work is supported by the French National Research Agency, convention ANR-14-CE27-0016. This work is sponsored by the French government research program Investissements d’avenir through the Robotex Equipment of Excellence (ANR-10-EQPX-44).

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Correspondence to M. A. Laribi .

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Ayoubi, Y., Laribi, M.A., Courrèges, F., Zeghloul, S., Arsicault, M. (2017). A Synthesis of a Six Bar Mechanism with Nonlinear Stiffness for Prismatic Compliant Joint. In: Rodić, A., Borangiu, T. (eds) Advances in Robot Design and Intelligent Control. RAAD 2016. Advances in Intelligent Systems and Computing, vol 540. Springer, Cham. https://doi.org/10.1007/978-3-319-49058-8_17

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  • DOI: https://doi.org/10.1007/978-3-319-49058-8_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-49057-1

  • Online ISBN: 978-3-319-49058-8

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