Abstract
This paper proposes an optimal design method for the design parameters that affect the performance of 7 degrees of freedom (DOF) serial manipulators. The proposed method optimizes the manipulator parameters by using performance indices related to the distribution of inertia, while considering the workspaces and dexterity that correspond to the kinematic performance, and the energy that corresponds to the dynamic performance. The Structural Length Index (SLI) and Global Conditioning Index (GCI), which are kinematic performance indices, and the Modified Dynamic Conditioning Index (MDCI), which is a dynamic performance index, were used as objective functions. After deriving the parameters that affect manipulator performance through these performance indices, a Genetic Algorithm was used for the optimization. This method should be helpful in theoretically designing those parameters that have been created by relying on experience, thus far, in the initial conceptual design stage in 7 DOF manipulator designs.
Similar content being viewed by others
Abbreviations
- SLI:
-
Structural Length Index
- GCI:
-
Global Conditioning Index
- MDCI:
-
Modified Dynamic Conditioning Index
References
Liu, X.-J., Wang, J., and Pritschow, G., “Performance Atlases and Optimum Design of Planar 5R Symmetrical Parallel Mechanisms,” Mechanism and Machine Theory, Vol. 41, No. 2, pp. 119–144, 2006.
Rout, B. K. and Mittal, R. K., “Screening of Factors Influencing the Performance of Manipulator using Combined Array Design of Experiment Approach,” Robotics and Computer-Integrated Manufacturing, Vol. 25, No. 3, pp. 651–666, 2009.
Leger, C., “Automated Synthesis and Optimization of Robot Configurations: An Evolutionary Approach,” Ph.D. Thesis, Carnegie Mellon University, 1999.
Singh, J. R. and Rastegar, J., “Optimal Synthesis of Robot Manipulators Based on Global Kinematic Parameters,” Mechanism and Machine Theory, Vol. 30, No. 4, pp. 569–580, 1995.
Rout, B. K. and Mittal, R. K., “Parametric Design Optimization of 2-DOF R-R Planar Manipulator-A Design of Experiment Approach,” Robotics and Computer-Integrated Manufacturing, Vol. 24, No. 2, pp. 239–248, 2008.
Kucuk, S. and Bingul, Z., “Comparative Study of Performance Indices for Fundamental Robot Manipulators,” Robotics and Autonomous Systems, Vol. 54, No. 7, pp. 567–573, 2006.
Kucuk, S. and Bingul, Z., “Link Mass Optimization of Serial Robot Manipulators using Genetic Algorithm,” in: Knowledge-Based and Intelligent Information and Engineering Systems, pp. 138–144, Springer, 2006.
Lara-Molina, F., Rosário, J., and Dumur, D., “Multi-Objective Optimization of Stewart-Gough Manipulator using Global Indices,” Proc. of IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM), 2011, pp. 79–85, 2011.
Niku, S. B., “Introduction to Robotics: Analysis, Systems, Applications,” Prentice Hall New Jersey, 2001.
Yoshikawa, T., “Manipulability of Robotic Mechanisms,” The International Journal of Robotics Research, Vol. 4, No. 2, pp. 3–9, 1985.
Strang, G., “Linear Algebra and Its Application,” Academic Press, 1976.
Yoshikawa, T., “Dynamic Manipulability of Robot Manipulators,” Proc. of IEEE International Conference on Robotics and Automation, pp. 1033–1038, 1985.
Kurazume, R. and Hasegawa, T., “A New Index of Serial-Link Manipulator Performance Combining Dynamic Manipulability and Manipulating Force Ellipsoids,” IEEE Transactions on Robotics, Vol. 22, No. 5, pp. 1022–1028, 2006.
Ma, O. and Angeles, J., “The Concept of Dynamic Isotropy and Its Applications To Inverse Kinematics and Trajectory Planning,” Proc. of IEEE International Conference on Robotics and Automation, pp. 481–486, 1990.
Holland, J. H., “Adaptation in Natural and Artificial Systems,” University of Michigan Press, 1975.
Hollerbach, J. M., “Optimum Kinematic Design for a Seven Degree of Freedom Manipulator,” in: Robotics Research: The Second International Symposium, Banafusa, H., Inoue, H., (Eds.), Cambridge, MIT Press, pp. 215–222, 1985.
Sciavicco, L., Villani, L., Oriolo, G., and Siciliano, B., “Robotics: Modelling, Planning and Control,” Springer London, 2009.
Klein, C. A. and Blaho, B. E., “Dexterity Measures for the Design and Control of Kinematically Redundant Manipulators,” The International Journal of Robotics Research, Vol. 6, No. 2, pp. 72–83, 1987.
Lim, H., Hwang, S., Shin, K., and Han, C., “Comparative Study of Optimization Technique for the Global Performance Indices of the Robot Manipulator based on an Approximate Model,” International Journal of Control, Automation and Systems, Vol. 10, No. 2, pp. 374–382, 2012.
Gosselin, C. and Angeles, J., “A Global Performance Index for the Kinematic Optimization of Robotic Manipulators,” Journal of Mechanical Design, Vol. 113, No. 3, pp. 220–226, 1991.
Wade, T. L., “The Algebra of Vectors and Matrices,” Cambridge, MA: Addison-Wesley, 1951.
Patel, S. and Sobh, T., “Manipulator Performance Measures-A Comprehensive Literature Survey,” Journal of Intelligent & Robotic Systems, Vol. 77, Nos. 3–4, pp. 547–570, 2015.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hwang, S., Kim, H., Choi, Y. et al. Design optimization method for 7 DOF robot manipulator using performance indices. Int. J. Precis. Eng. Manuf. 18, 293–299 (2017). https://doi.org/10.1007/s12541-017-0037-0
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12541-017-0037-0