Multi-Criteria Optimal Design of Parallel Manipulators Based on Natural Frequency

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Abstract:

The Stewart manipulator has characteristics of low natural frequency, high cost and large size which make it difficult to obtain optimum performance with high dynamic response. The lowest natural frequency in the total workspace and average of six frequencies at home configuration of Stewart manipulator are introduced as indices to evaluate dynamic stability. Multi-criteria optimal design based on genetic algorithm (GA) was presented synthetically considering the workspace requirement, lowest natural frequency, average frequency and global dimensionally homogeneous Jacobian matrix condition number. An optimal result was obtained through standard GA using penalty function and the Pareto-optimal set was also obtained through parallel selection method.

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2435-2442

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August 2010

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© 2010 Trans Tech Publications Ltd. All Rights Reserved

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[1] Y.J. Lou, G.F. Liu, Z.X. Li, Optimal Design of Parallel Manipulators via LMI Approach, Proceedings of IEEE International Conference on Robotics and Automation, Vol. 2, pp.1869-1874, (2003).

DOI: 10.1109/robot.2003.1241867

Google Scholar

[2] J.P. Merlet, D. Daney, Appropriate Design of Parallel Manipulators, Smart Devices and Machines for Advanced Manufacturing, Springer, London, (2008).

DOI: 10.1007/978-1-84800-147-3_1

Google Scholar

[3] X.J. Liu, Optimal kinematic design of a three translational DoFs parallel manipulator, Robotica, Vol. 24, No. 2, pp.239-250, (2006).

DOI: 10.1017/s0263574705002079

Google Scholar

[4] G. Nawratil, New performance indices for 6-dof UPS and 3-dof RPR parallel manipulators, Mechanism and Machine Theory, Vol. 44, No. 1, pp.208-221, (2009).

DOI: 10.1016/j.mechmachtheory.2008.02.004

Google Scholar

[5] W. Wang, H.Y. Yang, J. Zou, et al, Optimal design of Stewart platforms based on expanding the control bandwidth while considering the hydraulic system design, Journal of Zhejiang University Science A, Vol. 10, No. 1, pp.1862-1775, (2009).

DOI: 10.1631/jzus.a0820329

Google Scholar

[6] F. Hao, J.P. Merlet, Multi-criteria optimal design of parallel manipulators based on interval analysis, Mechanism and Machine Theory, Vol. 40, No. 2, pp.157-171, (2005).

DOI: 10.1016/j.mechmachtheory.2004.07.002

Google Scholar

[7] Z. Gao, D. Zhang, Y.J. Ge, Design optimization of a spatial six degree-of-freedom parallel manipulator based on artificial intelligence approaches, Robotics and Computer-Integrated Manufacturing, Vol. 26, No. 2, pp.180-189, (2010).

DOI: 10.1016/j.rcim.2009.07.002

Google Scholar

[8] P. Mukherjee, B. Dasgupta, A.K. Mallik, Dynamic stability index and vibration analysis of a flexible Stewart platform, Journal of sound and vibration, Vol. 307, No. 3-5, 495-512, (2007).

DOI: 10.1016/j.jsv.2007.05.036

Google Scholar

[9] J.K. Slisbury, J.J. Craig, Articulated hands: force control and kinematic issues, International Journal of Robotics Research, Vol. 1, No. 1, pp.4-17, (1982).

Google Scholar

[10] G. Pond, J.A. Carretero, Formulating Jacobian matrices for the dexterity analysis of parallel manipulators, Mechanism and Machine Theory, Vol. 41, No. 12, pp.1505-1519, (2006).

DOI: 10.1016/j.mechmachtheory.2006.01.003

Google Scholar

[11] S.G. Kim, J. Ryu, New dimensionally homogeneous jacobian matrix formulation by three end-effector points for optimal design of parallel manipulators, IEEE Transactions on Robotics and Automation, Vol. 19, No. 4, pp.731-736, (2003).

DOI: 10.1109/tra.2003.814496

Google Scholar