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Hybrid Optimization Based Mathematical Procedure for Dimensional Synthesis of Slider-Crank Linkage

Author

Listed:
  • Alfonso Hernández

    (Faculty of Engineering in Bilbao, University of the Basque Country (UPV/EHU), Plaza Ingeniero Torres Quevedo, 48013 Bilbao, Spain)

  • Aitor Muñoyerro

    (SENER Aeroespacial, Avda. de Zugazarte 56, 48992 Getxo, Spain)

  • Mónica Urízar

    (Faculty of Engineering in Bilbao, University of the Basque Country (UPV/EHU), Plaza Ingeniero Torres Quevedo, 48013 Bilbao, Spain)

  • Enrique Amezua

    (Faculty of Engineering in Bilbao, University of the Basque Country (UPV/EHU), Plaza Ingeniero Torres Quevedo, 48013 Bilbao, Spain)

Abstract

In this paper, an optimization procedure for path generation synthesis of the slider-crank mechanism will be presented. The proposed approach is based on a hybrid strategy, mixing local and global optimization techniques. Regarding the local optimization scheme, based on the null gradient condition, a novel methodology to solve the resulting non-linear equations is developed. The solving procedure consists of decoupling two subsystems of equations which can be solved separately and following an iterative process. In relation to the global technique, a multi-start method based on a genetic algorithm is implemented. The fitness function incorporated in the genetic algorithm will take as arguments the set of dimensional parameters of the slider-crank mechanism. Several illustrative examples will prove the validity of the proposed optimization methodology, in some cases achieving an even better result compared to mechanisms with a higher number of dimensional parameters, such as the four-bar mechanism or the Watt’s mechanism.

Suggested Citation

  • Alfonso Hernández & Aitor Muñoyerro & Mónica Urízar & Enrique Amezua, 2021. "Hybrid Optimization Based Mathematical Procedure for Dimensional Synthesis of Slider-Crank Linkage," Mathematics, MDPI, vol. 9(13), pages 1-17, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:13:p:1581-:d:588818
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    References listed on IDEAS

    as
    1. A. Sedano & R. Sancibrian & A. de Juan & F. Viadero & F. Egaña, 2012. "Hybrid Optimization Approach for the Design of Mechanisms Using a New Error Estimator," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-20, July.
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