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Minimization of joint reaction forces of kinematic chains by a multi-objective approach

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Abstract

The paper describes a procedure of simultaneous minimization of joint reaction forces of planar kinematic chains. The best design is sought using the methods of mathematical programming. The optimization model of the kinematic chain is based on a multi-objective approach where the objective functions may be related to the generalized joint forces. The design variables are the geometric parameters of the links. The implementation of the optimization model is illustrated with two examples. The first example considers the minimization of joint reaction forces of an open loop system of a two-arm manipulator. The second example considers optimization of a closed loop system representing a four-bar mechanism being an actual part of a hydraulic support employed in the mining industry.

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References

  1. Djath, K.; Siadat, A.; Dufaut, M.; Wolf, D. 1999: Navigation of a mobile robot by locally optimal trajectories. Robotica 17, 553–562

    Google Scholar 

  2. Dong, S.; James, K.M. 1999: Performance Improvement of Industrial Robot Trajectory Tracking Using Adaptive – Learning Scheme. J Dyn Syst Measure Control 121, 285–292

    Google Scholar 

  3. Grm, V. 1992: Optimal synthesis of four-bar mechanism. MSc. Thesis (In Slovene language). Faculty of Mechanical Engineering Maribor

  4. Haimes, Y.Y.; Hall, W.A.; Freedman, H.T. 1975: Multiobjective optimization in water resources systems. Elsevier: Amsterdam

  5. Harl, B. 2000: Minimization of joint reaction forces of kinematic chains. Ph.D. Thesis (In Slovene language). Faculty of Mechanical Engineering Maribor

  6. Haug, E.J.; Arora, J.S. 1979: Applied optimal design. Wiley: New York

  7. Kegl, M.; Butinar, B.; Oblak, M. 1992: Optimization of mechanical systems: On strategy of non-linear first-order approximation. Int J Numer Methods Eng 33, 223–234

    Google Scholar 

  8. Koivo, A.J. 1989: Fundamentals for control of robotic manipulators. Wiley: New York

  9. Oblak, M.; Harl, B.; Butinar, B. 2000: Optimal design of hydraulic support. Struct Optim 20(1), 76–82

    Google Scholar 

  10. Ringuest, J.L. 1992: Multiobjective optimization: behavioral and computational considerations. Kluwer: Boston

  11. Rudall, B.H. 1997: Reports & Surveys. Robotica 15, 241–249

    Google Scholar 

  12. Wide, P.; Schellwat, H. 1999: Implementation of a genetic algorithm routing an autonomous robot. Robotica 17, 207–211

    Google Scholar 

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Authors and Affiliations

  1. Faculty of mechanical engineering, Smetanova 17, 2000, Maribor, Slovenia

    B. Harl & M. Oblak

  2. Faculty of chemistry and chemical engineering, Smetanova 17, 2000, Maribor, Slovenia

    B. Butinar

Authors
  1. B. Harl
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  2. M. Oblak
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  3. B. Butinar
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Correspondence to B. Harl.

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Harl, B., Oblak, M. & Butinar, B. Minimization of joint reaction forces of kinematic chains by a multi-objective approach. Struct Multidisc Optim 27, 243–249 (2004). https://doi.org/10.1007/s00158-004-0377-0

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  • DOI: https://doi.org/10.1007/s00158-004-0377-0

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