Skip to main content
Log in

Design optimization of 3PRS parallel manipulator using global performance indices

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

Abstract

This paper presents an optimal kinetostatic design method for a general 3PRS (Prismatic-revolute-spherical) spatial parallel manipulator by formulating a multi-objective optimization problem considering the performance indices are as the objective functions. Three performance criteria—Global conditioning index (GCI), Global stiffness index (GSI) and workspace volume-were formulated and the effect of actuator layout angle on the performance indices was studied. A multi-objective evolutionary algorithm based on the Control elitist non-dominated sorting genetic algorithm (CENSGA) was adopted to find the final approximation set. The optimal geometric parameters that yield minimal compliance with larger workspace volume and improved dexterity are suggested for a general 3PRS parallel manipulator. For the optimal design, it is shown that global isotropy and global stiffness of the platform is improved at the cost of workspace reduction.

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. D. Stewart, A platform with six degrees of freedom, Proc. of the Institute of Mechanical Engineers, 180 (1) (1965) 371–386.

    Article  Google Scholar 

  2. The DS Technology Company, http://www.ds-technologie. De (2008).

  3. N. Hennes, Ecospeed: an innovative machining concept for high performance 5-axis machining of large structural component in aircraft engineering, Proc.of the 3rd Chemnitz Parallel Kinematic Seminar, Chemnitz, Germany (2002) 763–774.

    Google Scholar 

  4. J. A. Carretero, M. Nahon, C. M. Gosselin and B. Buckham, Kinematic analysis of a three-dof parallel mechanism for telescope applications, Proc.of the ASME Design Automation Conference, Sacramento, California, USA (1997).

    Google Scholar 

  5. X. Han, Y. Wang and J. Shi, Stiffness modeling of 3PRS mechanism, World Academy of Science, Engineering and Technology, 72 (2012) 876–882.

    Google Scholar 

  6. M. S. Tsai, T. N. Shiau and Y. J. Tsai, Direct kinematic analysis of a 3-PRS parallel mechanism, Mechanism and Machine Theory, 38 (1) (2003) 71–83.

    Article  MATH  Google Scholar 

  7. F. Zhang, J. G. Yang and B. Z. Li, Kinematic characteristic analysis of 3-PRS parallel manipulator, Donghua U., 25 (2008) 78–81.

    MathSciNet  Google Scholar 

  8. Y. Li and Q. Xu, Kinematic analysis of a 3-PRS parallel manipulator, Robotics and Computer-Integrated Manufacturing, 23 (2007) 395–408.

    Article  Google Scholar 

  9. X. Chen, X. Liu, F. Xie and T. Sun, A comparison study on motion/force transmissibility of two typical 3-DOF parallel manipulators: The Sprint Z3and A3 tool heads, International J. of Advanced Robotic Systems, 11 (5) (2013) 1–10.

    Google Scholar 

  10. C. Gosselin and J. Angeles, A global performance index for the kinematic optimization of Robotic manipulators, J. of Mechanical Design, 113 (3) (1991) 220–226.

    Article  Google Scholar 

  11. A. Fattah and A. M. H.Ghasemi, Isotropic design of spatial parallel manipulators, International J. of Robotics Research, 21 (9) (2002) 811–824.

  12. J. P. Merlet, Workspace-oriented methodology for designing a parallel manipulator, Proc.of IEEE International Conference on Robotics and Automation, Minneapolis, Minnesota, USA (1996) 3726–3731.

    Chapter  Google Scholar 

  13. J. Wang, C. Wu and X. Liu, Performance evaluation of parallel manipulators: motion/force transmissibility and its index, Mechanism and Machine Theory, 45 (10) (2010) 1462–1476.

    Article  MathSciNet  MATH  Google Scholar 

  14. Z. Gao, D. Zhang, X. Hu and Y. Ge, Design, analysis and stiffness optimization of a three degree of freedom parallel manipulator, Robotica, 28 (3) (2010) 349–357.

    Article  Google Scholar 

  15. X. Liu, Z. Jin and F. Gao, Optimum design of 3-DOF spherical parallel manipulators with respect to the conditioning and stiffness indices, Mechanism and Machine Theory, 35 (9) (2000) 1257–1267.

    Article  Google Scholar 

  16. S. Lu and Y. Li, Dimensional synthesis of a 3-DOF translational parallel manipulator considering kinematic dexterity property, Proc.of the IEEE International Conference on Information and Automation, Hailar, China (2014) 7–12.

    Google Scholar 

  17. F. A. Lara-Molina, J. M. Rosario and D. Dumur, Multiobjective design of parallel manipulator using global indices, The Open Mechanical Engineering J., 4 (2010) 37–47.

    Article  Google Scholar 

  18. R. Kelaiaia, O. Company and A. Zaatric, Multi-objective optimization of a linear Delta parallel robot, Mechanism and Machine Theory, 50 (2012) 159–178.

    Article  Google Scholar 

  19. G. Wu, Stiffness analysis and optimization of a co-axial spherical parallel manipulator, Modeling, Identification and Control, 35 (1) (2014) 21–30.

    Article  Google Scholar 

  20. S. S. Ganesh, A. B. K. Rao and S. Darwekar, Multiobjective optimization of 3-DOF translational parallel kinematic machine, J. of Mechanical Science and Technology, 27 (12) (2013) 3797–3804.

    Article  Google Scholar 

  21. C. Guohua, W. Bin, W. Nan and Z. Yanwei, Stiffness, workspace analysis and optimization for 3UPU parallel robot mechanism, Telkomnika, 11 (9) (2013) 5253–5261.

    Article  Google Scholar 

  22. J. A.Carretero, M. A. Nahon and R. P. Pondhorodeski, Workspace analysis and optimization of a novel 3-DOF parallel manipulator, International J. of Robotics and Automation, 15 (2000) 178–188.

    Google Scholar 

  23. Y. Li and Q. Xu, Optimal kinematic design for a general 3PRS spatial parallel manipulator based on dexterity and workspace, Proc.of the Eleventh International Conference on Machine Design and Production, Antalya, Turkey (2004).

    Google Scholar 

  24. X.-J. Liu and I. A. Bonev, Orientation capability, error analysis and dimensional optimization of two articulated tool heads with parallel kinematics, J. of Manufacturing Science and Engineering, 130 (2008) 1–9.

    Google Scholar 

  25. G. Pond and J. A. Carretero, Architecture optimization of three 3-PRS variants for parallel kinematic machining, Robotics and Computer-Integrated Manufacturing, 25 (1) (2009) 64–72.

    Article  Google Scholar 

  26. X. Zhang, Optimization of a 3-PRS parallel manipulator based on interval analysis, Proc.of Intelligent Control and Automation, Beijing, China (2012) 2452–2456.

    Chapter  Google Scholar 

  27. G. Carbone and M. Ceccarelli, Comparison of indices for stiffness performance evaluation, Frontiers of Mechanical Engineering China, 5 (1) (2010) 270–278.

    Article  Google Scholar 

  28. K. Deb and T. Goel, Controlled elitist non-dominated sorting genetic algorithms for better convergence, E. Zitzler et al. (Eds), EMO 2001,LNCS 1993 (2001) 67–81.

    Google Scholar 

  29. E. Zitzler, Evolutionary algorithms for multi-objective optimization: methods and application, Doctoral Dissertation ETH 13398, Swiss Federal Institute of Technology, Zurich, Switzerland (1999).

    Google Scholar 

  30. J. Knowles and D. Corne, The Pareto archived evolution strategy: A new base line algorithm for multi-objective optimization, Proc.of the 1999 Congress on Evolutionary Computation, Piscat asway, NJ: IEEE Press (1999) 98–105.

    Google Scholar 

  31. K. Deb, A. Pratap, S. Agarwal and T. Meyarivan, A fast and elitist multi-objective genetic algorithm: NSGA-II, IEEE Transactions on Evolutionary Computation, 6 (2) (2002) 182–197.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. Ramana Babu.

Additional information

Recommended by Associate Editor Kyoungchul Kong

S. Ramana Babu received the M.Tech. in 2006 from the Jawaharlal Nehru Technology University. Currently, he is an Assistant Professor in Raghu Engineering College, Visakhapatnam, India. His research interests include design and simulation of parallel manipulators.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ramana Babu, S., Ramachandra Raju, V. & Ramji, K. Design optimization of 3PRS parallel manipulator using global performance indices. J Mech Sci Technol 30, 4325–4335 (2016). https://doi.org/10.1007/s12206-016-0847-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-016-0847-5

Keywords

Navigation