Skip to main content
Log in

Novel torsional spring with corrugated flexible units for series elastic actuators for cooperative robots

  • Original Article
  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

Reasonable robot joint stiffness is necessary to guarantee the safety and control accuracy of cooperative robots. In this study, a novel flat torsional spring with corrugated flexible units for a series elastic actuator (SEA) was developed to meet the requirements of cooperative robots. The torsional spring can absorb impact energy. The spring was optimized through the design of experiment method, and its theoretical stiffness was verified through numerical calculation and finite element analysis. Compared with other existing flat torsional springs in the simulation, the proposed torsional spring showed reasonable torsional stiffness and high radial and axial stiffness, which could guarantee safety and control accuracy. The proposed torsional spring was also evaluated through real experiments. Simulation and experimental results revealed that the proposed torsional spring has a linear torque versus angle characteristic.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. Mortl, M. Lawitzky, A. Kucukyilmaz, M. Sezgin, C. Basdogan and S. Hirche, The role of roles: physical cooperation between humans and robots, The International Journal of Robotics Research, 31(13) (2012) 1656–1674.

    Article  Google Scholar 

  2. X. Li, G. Chi, S. Vidas and C. Cheah, Human-guided robotic comanipulation: two illustrative scenarios, IEEE Transactions on Control, Systems Technology, 24950 (2016) 1751–1763.

    Article  Google Scholar 

  3. R. V. Ham, T. G. Sugar, B. Vanderborght, K. W. Hollander and D. Lefeber, Compliant actuator designs, IEEE Robotics and Automation Magazine, 16(3) (2009) 81–94.

    Article  Google Scholar 

  4. B. Siciliano, L. Sciavicco, L. Villani and G. Oriolo, Robotics: Modelling, Planning and Control, Springer, New York (2010) 265–267.

    Google Scholar 

  5. G. Carpino, D. Accoto, F. Sergi, N. L. Tagliamonte and E. Guglelmelli, A novel compact torsional spring for series elastic actuator for assistive wearable robots, Journal of Mechanical Design, 134 (2012) 1–10.

    Article  Google Scholar 

  6. S. Wolf, G. Grioli, O. Eiberger, W. Friedl and M. Grebenstein, Variable stiffness actuators: review on design and components, IEEE/ASME Transactions on Mechatronics, 21(5) (2016) 2418–2430.

    Article  Google Scholar 

  7. F. Guenther and F. Iida, Energy-efficient monopod running with a large payload based on open-loop parallel elastic actuation, IEEE Transactions on Robotics, 33(1) (2017) 102–113.

    Article  Google Scholar 

  8. M. Plooij, W. Wolfslag and M. Wisse, Clutched elastic actuators, IEEE/ASME Transactions on Mechatronics, 22(2) (2017) 739–750.

    Article  Google Scholar 

  9. G. Mathijssen, D. Lefeber and B. Vanderborght, Variable recruitment of parallel elastic elements: series-parallel elastic actuators (SPEA) with dephased multilated gears, IEEE/ASME Transactions on Mechatronics, 20(2) (2015) 594–602.

    Article  Google Scholar 

  10. G. Pratt and M. Williamson, Series elastic actuators, IEEE/RJS International Conference on Intelligent Robots and Systems (1995) 399–406.

  11. D. Robinson, Design and analysis of series elasticity in closed-loop actuator force control, Ph.D. Thesis, Massachusetts Institute of Technology, USA (2000).

    Google Scholar 

  12. P. Agarwal and A. Deshpande, Series elastic actuators (SEAs) for small-scale robotic applications, Journal of Mechanisms and Robotics, 9(3) (2017) 031016–1-12.

    Article  Google Scholar 

  13. N. Paine, S. Oh and L. Sentis, Design and control considerations for high-performance series elastic actuators, IEEE/ASME Transactions on Mechatronics, 19(3) (2014) 1080–1091.

    Article  Google Scholar 

  14. N. Tsagarakis, M. Laffranchi, B. Vanderborght and D. Cald-well, A compact soft actuator unit for small scale human friendly robots, IEEE International Conference on Robotics and Automation (2009) 4356–4362.

  15. J. Veneman, R. Ekkelenkamp, R. Kruidhof, F. Helm and H. Kooij, A series elastic and bowden cable based actuation system for use as torque actuator in exoskeleton type robots, International Journal of Robotics Research (2006) 261–281.

  16. H. Yu, S. Huang, G. Chen, Y. Pan and Z. Guo, Human robot interaction control of rehabilitation robots with series elastic actuators, IEEE Transactions on Robotics, 31(5) (2015) 1089–1100.

    Article  Google Scholar 

  17. S. Yoon, S. Kang, Y. Kim, M. Kim and C. Lee, Safe arm with mr-based passive compliant joints and visco-elastic covering for service robot applications, IEEE/RSJ International Conference on Intelligent Robots and Systems (2003) 2191–2196.

  18. N. Tsagarakis, Z. Li, J. Saglia and D. Caldwell, The design of the lower body of the compliant humanoid robot “cCub”, IEEE International Conference on Robotics and Automation (2011) 2035–2040.

  19. N. Tsagarakis, S. Morfey, G. Cerda, Z. Li and G. Caldwell, Compiant humanoid COMAN: optimal joint stiffness tuning for modal frequency control, IEEE/RSJ International Conference on Robotics and Automation (2013) 673–678.

  20. A. Stienen, E. Hekman, H. Braak, A. Aalsma, F. Helm and H. Kooij, Design of a rotational hydroelastic actuator for a powered exoskeleton for upper limb rehabilitation, IEEE Transactions on Biomedical Engineering, 57(3) (2010) 728–735.

    Article  Google Scholar 

  21. W. Santos, G. Caurin and A. Siqueira, Design and control of an active knee orthosis driven by a rotary series elastic actuator, Control Engineering Practice, 58 (2017) 307–318.

    Article  Google Scholar 

  22. G. Carpino, D. Accoto, F. Sergi, N. Tagliamonte and E. Guglielmelli, A novel compact torsional spring for series elastic actuators for assistive wearable robots, Journal of Mechanical Design, 134(121002) (2012) 1–10.

    Google Scholar 

  23. M. Diftler, J. Mehling, M. Abdallah, N. Radford, A. Sanders, R. Askew, D. Linn, J. Yamokoshi, F. Permenter, B. Hargrave, R. Platt, R. Savely and R. Ambrose, Robonaut 2 — the first humanoid robot in space, IEEE International Conference on Robotics and Automation (2011) 2178–2183.

  24. B. Knox and J. Schmiedeler, A unidirectional series-elastic actuator design using a spiral torsion spring, Journal of Mechanical Design, 131 (2009) 125001–1-125001-5.

    Article  Google Scholar 

  25. K. Kong, J. Bae and M. Tomizuka, A compact rotary series elastic actuator for human assistive systems, IEEE/ASME Transactions on Mechatronics, 17(2) (2012) 288–297.

    Article  Google Scholar 

  26. O. Baser, H. Kizilhan and E. Kilic, Biomimetic compliant lower limb exoskeleton (BioComEx) and its experimental evaluation, Journal of Brazilian Society of Mechanical Sciences and Engineering, 41 (2019) 1–15.

    Article  Google Scholar 

  27. S. Wang, L. Wang, C. Meijneke, E. van Asseldonk, T. Hoellinger, G. Cheron, Y. Ivanenko, V. La Scaleia, F. Sylos-Labini, F. Sylos-Labini, M. Molinari, F. Tamburella, I. Pisotta, F. Thorsteinsson, M. Ilzkovitz, J. Gancet, Y. Nevatia, R. Hauffe, F. Zanow and H. van der Kooij, Design and control of the MINDWALKER exoskeleton, IEEE Transactions on Neural Systems and Rehabilitation Engineering, 23(2) (2015) 277–286.

    Article  Google Scholar 

  28. S. Wolf, G. Grioli, O. Eiberger, W. Friedl, M. Grebenstein, H. Höppner, E. Burdet, D. G. Caldwell, R. Carloni, M. G. Catalano, D. Lefeber, S. Stramigioli, N. Tsagarakis, M. van Damme, R. Van Ham, B. Vanderborght, L. C. Visser, A. Bicchi and A. Albu-Schäffer, Variable stiffness actuators: review on design and components, IEEE/ASME Transactions on Mechatronics, 21(5) (2016) 2418–2430.

    Article  Google Scholar 

  29. G. Grioli, S. Wolf, M. Garabini, M. Catalano, E. Burdet, D. Caldwell, R. Carloni, W. Friedl, M. Grebenstein, M. Laffranchi, D. Lefeber, S. Stramigioli, N. Tsagarakis, M. van Damme, B. Vanderborght, A. Albu-Schäeffer and A. Bicchi, Variable stiffness actuators: the user’s point of view, International Journal of Robotics Research, 34(6) (2015) 727–743.

    Article  Google Scholar 

  30. O. Baser, H. Kizilhan and E. Kilic, Employing variable impedance (stiffness/damping) hybrid actuators on lower limb exoskeleton robots for stable and safe walking trajectory tracking, Journal of Mechanical Science and Technology, 34(6) (2020) 2597–2607.

    Article  Google Scholar 

  31. M. Cestari, D. Sanz-Merodio, J. C. Arevalo and E. Garcia, An adjustable compliant joint for lower-limb exoskeletons, IEEE/ASME Transactions on Mechatronics, 20(2) (2015) 889–898.

    Article  Google Scholar 

  32. Y. Liu, X. Liu, Z. Yuan and J. Liu, Design and analysis of spring parallel variable stiffness actuator based on antagonistic principle, Mechanism and Machine Theory, 140 (2019) 44–58.

    Article  Google Scholar 

  33. V. Grosu, C. Rodriguez-Guerrero, S. Grosu, B. Vanderborght and D. Lefeber, Design of smart modular variable stiffness actuators for robotic-assistive devices, IEEE/ASME Transactions on Mechatronics, 22(4) (2017) 1777–1785.

    Article  Google Scholar 

  34. J. Sun, Y. Zhang, X. Xiao and J. Tan, A novel design of serial variable stiffness actuator based on an archimedean spiral relocation mechanism, IEEE/ASME Transactions on Mechatronics, 23(5) (2018) 2121–2131.

    Article  Google Scholar 

  35. Y. Kim, Anthropomorphic low-inertia high-stiffness manipulator for high-speed safe interaction, IEEE Transactions on Robotics, 33(6) (2017) 1358–1374.

    Article  Google Scholar 

  36. N. Wang, Z. Zhang and X. Zhang, Stiffness analysis of corrugated flexure beam using stiffness matrix method, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 233(5) (2018) 1818–1827.

    Google Scholar 

  37. N. Wang, Z. Zhang, X. Zhang and C. Cui, Optimization of a 2-DOF micro-positioning stage using corrugated flexure units, Mechanism and Machine Theory, 121 (2018) 683–696.

    Article  Google Scholar 

  38. J. Kleijnen, Sensitivity analysis and optimization of system dynamics models: regression analysis and statistical design of experiments, System Dynamics Review, 11(4) (2010) 275–288.

    Article  Google Scholar 

  39. P. Glogowski, M. Rieger, J. Sun and B. Kuhlenkatter, Natural frequency analysis in the workspace of a six-axis industrial robot using design of experiments, Advanced Materials Research, 1140 (2016) 345–352.

    Article  Google Scholar 

  40. J. Simoes, T. Coole, D. Cheshire and A. Pires, Analysis of multi-axis milling in an anthropomorphic robot, using the design of experiments methodology, Journal of Materials Processing Technology, 135(2) (2003) 235–241.

    Article  Google Scholar 

  41. T. Otomo, H. Matsumoto, N. Nomura and A. Chiba, Influence of cold-working and subsequent heat-treatment on young’s modulus and strength of Co-Ni-Cr-Mo alloy, Journal of the Japan Institute of Metals, 51(3) (2010) 434–441.

    Google Scholar 

  42. Y. Chen, B. Song, X. Zhang and Y. Huang, Dynamics modeling of a 2-DOFs mechanism with rigid joint and flexible joint, International Conference on Intelligent Robotics and Applications (2019) 667–678.

Download references

Acknowledgments

This work was supported in part by the National Natural Science Foundation of China under Grants 52075178 and 51820105007, the Guangdong Basic and Applied Basic Research Foundation under Grant 2019A1515011154, and the Guangzhou Municipal Scientific and Technological Project under Grant 202002030233.

The authors declare that there is no conflict of interest.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yanjiang Huang.

Additional information

Yanlin Chen is currently working toward his Doctorate degree at Guangdong Key Laboratory of Precision Equipment and Manufacturing Technology, School of Mechanical and Automotive Engineering, South China University of Technology. His main research interests include human—robot interaction, robot kinematics, robot control, and robot dynamics.

Yanjiang Huang received his Ph.D. degree in Precision Mechanical Engineering from the University of Tokyo in 2013. He became a Professor at South China University of Technology, China, in September 2020. His main research interests are human-robot interaction and robot system design.

Kaibin Chen received his Master’s degree in Mechanical Engineering from South China University of Technology in 2020. In November 2021, he became an engineer with the Fifth Electronics Research Institute of MIIT in China. His main research interests are human-robot interaction and reliability of electronic products.

Yeping Wang is a Ph.D. student of computer sciences at University of Wisconsin-Madison. He obtained his M.S.E. in Robotics at Johns Hopkins University and his B.S. degree in Mechanical Engineering from South China University of Technology. His research interests are in human—robot interaction.

Yanbin Wu is currently studying for an Undergraduate degree at the School of Mechanical and Automotive Engineering, South China University of Technology. His main research interests include human-robot cooperation and wearable exoskeletons.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chen, Y., Huang, Y., Chen, K. et al. Novel torsional spring with corrugated flexible units for series elastic actuators for cooperative robots. J Mech Sci Technol 36, 3131–3142 (2022). https://doi.org/10.1007/s12206-022-0544-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-022-0544-5

Keywords

Navigation