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Rapid optimization of tension distribution for cable-driven parallel manipulators with redundant cables

  • Mechanism and Robotics
  • Published:
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Abstract

The solution of tension distributions is infinite for cable-driven parallel manipulators(CDPMs) with redundant cables. A rapid optimization method for determining the optimal tension distribution is presented. The new optimization method is primarily based on the geometry properties of a polyhedron and convex analysis. The computational efficiency of the optimization method is improved by the designed projection algorithm, and a fast algorithm is proposed to determine which two of the lines are intersected at the optimal point. Moreover, a method for avoiding the operating point on the lower tension limit is developed. Simulation experiments are implemented on a six degree-of-freedom(6-DOF) CDPM with eight cables, and the results indicate that the new method is one order of magnitude faster than the standard simplex method. The optimal distribution of tension distribution is thus rapidly established on real-time by the proposed method.

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References

  1. YUASA K, MAE Y, INOUE K, et al. A hybrid drive parallel arm for heavy material handling[J]. IEEE Transactions on Robotics and Automation, 2002, 9(1): 45–54.

    Article  Google Scholar 

  2. BEHZADIPOUR S, KHAJEPOUR A. Design of reduced DOF parallel cable-based robots[J]. Mechanism and Machine Theory, 2004, 39(10): 1051–1065.

    Article  MATH  Google Scholar 

  3. HILLER M, FANG S, MIELCZAREK S, et al. Design, analysis and realization of tendon-based parallel manipulators[J]. Mechanism and Machine Theory, 2005, 40(3): 429–445.

    Article  MATH  Google Scholar 

  4. LAFOURCADE P, LLIBER M, REBOULE C. Design of a parallel wire-driven manipulator for wind tunnels[C]//Proceedings of the Workshop on Fundamental Issues and Future Directions for Parallel Mechanisms and Manipulators, Quebec City, Quebec, Canada, October 3–4, 2002: 187–194.

    Google Scholar 

  5. WANG W L, DUAN B Y. A new type of flexible parallel link manipulator actuated by cable[J]. Control Theory and Application, 2001, 18(3): 328–332.

    MathSciNet  MATH  Google Scholar 

  6. MAO Y, JIN X, DUTTA G G, et al. Human movement training with a cable driven arm exoskeleton(CAREX)[J]. IEEE Transactions on Systems and Rehabilitation Engineering, 2015, 23(1): 84–92.

    Article  Google Scholar 

  7. LAU D, EDEN J, OETOMO D, et al. Musculoskeletal static workspace analysis of the human shoulder as a cable-driven robot[J]. IEEE/ASME Transactions on Mechatronics, 2015, 20(2): 978–984.

    Article  Google Scholar 

  8. MUSTAFA S K, YANG G L, YEO S H, et al. Self-calibration of a biologically inspired 7 DOF cable-driven robotic arm[J]. IEEE/ASME Transactions on Mechatronics, 2008, 13(1): 66–75.

    Article  Google Scholar 

  9. YUAN H, COURTEILLE E, DEBLAISE D. Static and dynamic stiffness analyses of cable-driven parallel robots with non-negligible cable mass and elasticity[J]. Mechanism and Machine Theory, 2015, 85: 54–81.

    Article  Google Scholar 

  10. LAU D, OETOMO D, HALGAMUGE S K. Inverse dynamics of multilink cable-driven manipulators with the consideration of joint interaction forces and moments[J]. IEEE Transactions on Robotics, 2015, 31(2): 479–488.

    Article  Google Scholar 

  11. PHAM C B, YEO S H, YANG G L, et al. Force-closure workspace analysis of cable-driven parallel mechanisms[J]. Mechanism and Machine Theory, 2006, 41(1): 53–69.

    Article  MATH  Google Scholar 

  12. OUYANG B, SHANG W W. Efficient computation method of force-closure workspace for 6-DOF cable-driven parallel manipulators[J]. Journal of Mechanical Engineering, 2013, 49(15): 34–41.

    Article  Google Scholar 

  13. OUYANG B, SHANG W W. A new computation method for the force-closure workspace of cable-driven parallel manipulators[J]. Robotica, 2015, 33(3): 537–547.

    Article  Google Scholar 

  14. GOUTTEFARDE M, DANEY D, MERLET J P. Wrench-feasible workspace of parallel cable-driven mechanisms[C]//IEEE International Conference on Robotics and Automation, Roma, Italy, April 10–14, 2007: 1492–1497.

    Google Scholar 

  15. BOSSCHER P, RIECHEl A T, EBERT-UPHOFF I. Wrenchfeasible workspace generation for cable-driven robots[J]. IEEE Transactions on Robotics, 2006, 22(5): 890–902.

    Article  Google Scholar 

  16. OUYANG B, SHANG W W. Wrench-feasible workspace based optimization of fixed and moving platforms for cable-driven parallel manipulators[J]. Robotics and Computer-Integrated Manufacturing, 2014, 30(6): 629–635.

    Article  Google Scholar 

  17. FANG S Q, FRANITZA D, TORLO M, et al. Motion control of a tendon-based parallel manipulator using optimal tension distribution[J]. IEEE/ASME Transactions on Mechatronics, 2004, 9(3): 561–568.

    Article  Google Scholar 

  18. LI H, ZHANG X Y, YAO R, et al. Optimal force distribution based on slack rope model in the incompletely constrained cable-driven parallel mechanism of FAST telescope[J]. Cable-Driven Parallel Robots Mechanisms and Machine Science, 2013, 12: 87–102.

    Article  Google Scholar 

  19. BORGSTROM P H, JORDAN B L, BORGSTROM B J, et al. NIMS-PL: A cable-driven robot with self-calibration capabilities[J]. IEEE Transactions on Robotics, 2009, 25(5): 1005–1015.

    Article  Google Scholar 

  20. MIKELSONS L, BRUCKMANN T, HILLER M, et al. A real-time capable force calculation algorithm for redundant tendon-based parallel manipulators[C]//IEEE International Conference on Robotics and Automation, Pasadena, CA, May 19–23, 2008: 3869–3874.

    Google Scholar 

  21. BORGSTROM P H, JORDAN B L, SUKHATME G S, et al. Rapid computation of optimally safe tension distributions for parallel cable-driven robots[J]. IEEE Transactions on Robotics, 2009, 25(6): 1271–1281.

    Article  Google Scholar 

  22. HASSAN M, KHAJEPOUR A. Analysis of bounded cable tensions in cable-actuated parallel manipulators[J]. IEEE Transactions on Robotics, 2011, 27(5): 891–900.

    Article  Google Scholar 

  23. BOYD S, VANDENBERGHE L. Convex optimization[M]. Cambridge: United Kingdom at the University Press, 2009.

    MATH  Google Scholar 

Download references

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Authors and Affiliations

Authors

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Correspondence to Weiwei Shang.

Additional information

Supported by National Natural Science Foundation of China(Grant No. 51275500), Research Project of State Key Laboratory of Mechanical System and Vibration(Grant No. MSV201502), USTC-COOGOO Robotics Research Center(Grant No. 2015), and Youth Innovation Promotion Association of Chinese Academy of Sciences(Grant No. 2012321)

Biographical notes

OUYANG Bo, born in 1989, is currently a master candidate at Department of Automation, University of Science and Technology of China. He received his bachelor degree from Southwest University, China, in 2011. His research interests include parallel robot and optimization.

SHANG Weiwei, born in 1981, is currently an associate professor at Department of Automation, University of Science and Technology of China. He received his PhD degree from University of Science and Technology of China, in 2008. His research interests include parallel robots, humanoid robots and robot vision.

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Ouyang, B., Shang, W. Rapid optimization of tension distribution for cable-driven parallel manipulators with redundant cables. Chin. J. Mech. Eng. 29, 231–238 (2016). https://doi.org/10.3901/CJME.2015.1120.137

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  • DOI: https://doi.org/10.3901/CJME.2015.1120.137

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