Skip to main content
Log in

Computational model for the control, performance evaluation, and calibration of a parallel mechanism

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

This paper presents a computational model that defines a methodology for the control, performance evaluation, and calibration of a parallel mechanism by means of the kinematic model, the kinematic parameter identification, and the control of the system actuators and sensors. The developed software has special relevance to the calibration of parallel mechanisms, allowing us to perform the system control, performance evaluation, and mechanism calibration in a single application. Parallel computing techniques are used to overcome the high computational cost involved with solving complex nonlinear kinematic models and parameter identification, obtaining a significant computational cost saving. Finally, the developed procedure is validated, obtaining an important improvement in the accuracy of the mechanism. This methodology can be used in mechanisms for metrology applications and machine tool processes.

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. Li Y, Xu Q (2012) Design and robust repetitive control of a new parallel-kinematic XY Piezostage for micro/nanomanipulation. IEEE-ASME Trans Mechatron 17(6):1120–1132

    Article  Google Scholar 

  2. Masouleh MT, Gosselin C (2011) Singularity analysis of 5-RPUR parallel mechanisms (3T2R). Int J Adv Manuf Technol 57:1107–1121

    Article  Google Scholar 

  3. Edinbarough I, Balderas R, Bose S (2005) A vision and robot based on-line inspection monitoring system for electronic manufacturing. Comput Ind 56(8):986–996

    Article  Google Scholar 

  4. Briot S, Bonev IA (2010) Pantopteron-4: a new 3T1R decoupled parallel manipulator for pick-and-place applications. Mech Mach Theory 45(5):707–721

    Article  MATH  Google Scholar 

  5. Bajo A, Goldman RE, Wang L (2012) Integration and preliminary evaluation of an insertable robotic effectors platform for single port access surgery. IEEE Conf Robot Autom 1:3381–3387

    Google Scholar 

  6. Wang G, Wang Y, Zhao J (2012) Process optimization of the serial-parallel hybrid polishing machine tool based on artificial neural network and genetic algorithm. J Intell Manuf 23(3):365–374

    Article  Google Scholar 

  7. Moradi M, Shirinzadeh B (2013) Motion control analysis of a parallel robot assisted minimally invasive surgery/microsurgery system (PRAMiSS). Robot Comput Integr Manuf 29(2):318–327

    Article  Google Scholar 

  8. Dalvand MM, Shirinzadeh B (2011) Forward kinematics analysis of offset 6-RRCRR parallel manipulators. Proc Inst Mech Eng C J Mech Eng Sci 225(12):3011–3018

    Article  Google Scholar 

  9. Sangveraphunsiri V, Chooprasird K (2011) Dynamics and control of a 5-DOF manipulator based on an H-4 parallel mechanism. Int J Adv Manuf Technol 52:343–364

    Article  Google Scholar 

  10. Chen J, Lan F (2008) Instantaneous stiffness analysis and simulation for hexapod machines. Simul Model Pract Theory 16(4):419–428

    Article  Google Scholar 

  11. Yao Q, Dong J, Ferreira PM (2007) Design, analysis, fabrication and testing of a parallel-kinematic micropositioning XY stage. Int J Mach Tools Manuf 47(6):946–961

    Article  Google Scholar 

  12. Denavit J, Hartenberg RS (1955) A kinematic notation for lower-pair mechanisms based on matrices. Trans ASME J Appl Mech 22(1):215–221

    MathSciNet  MATH  Google Scholar 

  13. Chiang MH, Lin HT, Hou CL (2011) Development of a stereo vision measurement system for a 3D three-axial pneumatic parallel mechanism robot arm. Sensors 11(2):2257–2281

    Article  Google Scholar 

  14. Cong D, Yu D, Han J (2006) Kinematic calibration of parallel robots using CMM. Proc The Sixth World Congr Intell Control Autom 2:8514–8518

    Google Scholar 

  15. Lin C, Her J (2005) Calibrating the volumetric errors of a precision machine by a laser tracker system. Int J Adv Manuf Technol 26:1255–1267

    Article  Google Scholar 

  16. Jeon D, Kim K, Jeong J (2010) A calibration method of redundantly actuated parallel mechanism machines based on projection technique. CIRP Ann Manuf Technol 59(1):413–416

    Article  Google Scholar 

  17. Renaud P, Andreff N, Lavest JM (2006) Simplifying the kinematic calibration of parallel mechanisms using vision-based metrology. IEEE Trans Robot 22(1):12–22

    Article  Google Scholar 

  18. Levenberg K (1944) A method for the solution of certain non-linear problems in least squares. Q Appl Math 2(2):164–168

    MathSciNet  MATH  Google Scholar 

  19. Nategh MJ, Agheli MM (2009) A total solution to kinematic calibration of hexapod machine tools with a minimum number of measurement configurations and superior accuracies. Int J Mach Tools Manuf 49(15):1155–1164

    Article  Google Scholar 

  20. Asanovic K, Bodik R, Catanzaro BC (2006) The landscape of parallel computing research: a view from Berkeley. EECS Dep Univ. Calif Berkeley, Tech. Rep. UCB/EECS-2006-183:2006–2183

  21. Merlet JP (2006) Parallel robots. Kluwer, Dordrecht

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ana Cristina Majarena.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Majarena, A.C., Santolaria, J., Samper, D. et al. Computational model for the control, performance evaluation, and calibration of a parallel mechanism. Int J Adv Manuf Technol 69, 1971–1979 (2013). https://doi.org/10.1007/s00170-013-5169-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-013-5169-5

Keywords

Navigation