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A Stackelberg game theoretic multi-objective synthesis of four-bar mechanisms

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Abstract

In this article, a Stackelberg game theoretic approach is used for multi-objective optimal synthesis of four-bar mechanisms for path generation. Two objective functions, namely, tracking error (TE) and transmission angle’s deviation from 90° (TA), are considered as leader and follower, respectively. In this way, a new analytical approach is presented to provide a function of rational reaction set (RRS) of the follower. Consequently, the multi-objective optimal synthesis of four-bar mechanism is therefore cast into a single-objective optimal synthesis using only the leader variables and the obtained nonlinear algebraic equation representing the RRS of the follower. The superiority of using such game theoretic method of Stackelberg is demonstrated for three cases of synthesis of four-bar mechanisms for path generation.

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Authors and Affiliations

  1. Faculty of Mechanical Engineering, University of Guilan, P.O. Box: 3756, Rasht, Iran

    Bahman Ahmadi, Nader Nariman-zadeh & Ali Jamali

  2. Intelligent-Based Experimental Mechanics Center of Excellence, School of Mechanical Engineering, Faculty of Engineering, University of Tehran, Tehran, Iran

    Nader Nariman-zadeh

Authors
  1. Bahman Ahmadi
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  2. Nader Nariman-zadeh
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  3. Ali Jamali
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Correspondence to Ali Jamali.

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Responsible Editor: Mehmet Polat Saka

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Ahmadi, B., Nariman-zadeh, N. & Jamali, A. A Stackelberg game theoretic multi-objective synthesis of four-bar mechanisms. Struct Multidisc Optim 60, 699–710 (2019). https://doi.org/10.1007/s00158-019-02232-8

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  • DOI: https://doi.org/10.1007/s00158-019-02232-8

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