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On the comparative optimal analysis and synthesis of four-bar function generating mechanism using different heuristic methods

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Abstract

In this research, optimal synthesis of function generation of four-bar linkages is investigated using different heuristic optimization methods. The novelty of this study is that we considered the five precision point’s distribution and both stroke angles of the follower and crank links as the optimization variables. Therefore, a non-linear optimization was done with seven variables. Different optimization techniques, including heuristic and gradient based methods were used for optimization and were completely compared. Finally, general solutions were found and distribution of precision points for some desired functions was rationalized. GA-Hybrid seems to be the best method in finding global optimums in cases that the problem is sorely nonlinear, and also it is fast. Even it seems that distribution of precision points is independent of stroke angles of the follower and crank links. Some precision points are out of the design domain, and they are sorted in a way that they can describe the behavior of desired function better.

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Authors and Affiliations

  1. Electrical, Electronic and Robotic Department, Shahrood University of Technology, Shahrood, Iran

    S. H. Mirmahdi

  2. Mechanical Engineering Department, Shahrood University of Technology, Shahrood, Iran

    M. Norouzi

Authors
  1. S. H. Mirmahdi
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  2. M. Norouzi
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Correspondence to S. H. Mirmahdi.

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Mirmahdi, S.H., Norouzi, M. On the comparative optimal analysis and synthesis of four-bar function generating mechanism using different heuristic methods. Meccanica 48, 1995–2006 (2013). https://doi.org/10.1007/s11012-013-9718-7

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  • DOI: https://doi.org/10.1007/s11012-013-9718-7

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