Title: Mechanical engineering design optimisation using novel adaptive differential evolution algorithm

Authors: Hammoudi Abderazek; Ali Riza Yildiz; Sadiq M. Sait

Addresses: Applied Precision Mechanics Laboratory, Institute of Optics and Precision Mechanics, Setif-1-University, 19000 Setif, Algeria ' Department of Automotive Engineering, Bursa Uludağ University, Görükle, 16059 Görükle, Bursa, Turkey ' Computer Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

Abstract: This paper introduces a new adaptive mixed differential evolution (NAMDE) algorithm for mechanical design optimisation problems. The algorithm uses a self-adaptive mechanism to update the values of mutation and crossover factors. Moreover, elitism is used where the best-found individual in each generation is retained. The performance of NAMDE is evaluated by solving 11 well-known constrained mechanical design problems and two industrial applications. Further, comparison results between NAMDE and other recently published methods, for the first problems, clearly illustrate that the proposed approach is an important alternative to solve current real-world optimisation problems. Besides this, new optimal solutions for some engineering problems are obtained and reported in this paper. For the coupling with a bolted rim problem, the objective function improved by 10%. Whereas for the spur minimisation problem, the final design provides a reduction in gearing mass by 7.5% compared to those published in previous works.

Keywords: differential evolution algorithm; adaptive parameter control; engineering design optimisation; constrained optimisation problems; DE; metaheuristics; adaptive algorithm.

DOI: 10.1504/IJVD.2019.109873

International Journal of Vehicle Design, 2019 Vol.80 No.2/3/4, pp.285 - 329

Accepted: 23 Jun 2020
Published online: 28 Sep 2020 *

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