Path synthesis of four-bar mechanisms using synergy of polynomial neural network and Stackelberg game theory. Issue 6 (3rd June 2017)

• Record Type: Journal Article
• Authors: Ahmadi, Bahman; Nariman-zadeh, Nader; Jamali, Ali
• Is Part Of: Engineering optimization. Volume 49:Issue 6(2017)
• Page Start: 932
• Page End: 947
• Publication Date: 2017-06-03
• Subjects: Mechanism synthesis -- multi-objective optimization -- GMDH -- game theory; Engineering design -- Periodicals; Mathematical optimization -- Periodicals; 620.0042
• DOI: 10.1080/0305215X.2016.1218641
• Languages: English
• ISSNs: 0305-215X

Abstract

ABSTRACT: In this article, a novel approach based on game theory is presented for multi-objective optimal synthesis of four-bar mechanisms. The multi-objective optimization problem is modelled as a Stackelberg game. The more important objective function, tracking error, is considered as the leader, and the other objective function, deviation of the transmission angle from 90° (TA), is considered as the follower. In a new approach, a group method of data handling (GMDH)-type neural network is also utilized to construct an approximate model for the rational reaction set (RRS) of the follower. Using the proposed game-theoretic approach, the multi-objective optimal synthesis of a four-bar mechanism is then cast into a single-objective optimal synthesis using the leader variables and the obtained RRS of the follower. The superiority of using the synergy game-theoretic method of Stackelberg with a GMDH-type neural network is demonstrated for two case studies on the synthesis of four-bar mechanisms.