A hybrid cellular automaton–bi-directional evolutionary optimization algorithm for topological optimization of crashworthiness. Issue 12 (2nd December 2018)

• Record Type: Journal Article
• Authors: Gan, Ning; Yao, Song; Xiong, Yulin; Hong, Xiang
• Is Part Of: Engineering optimization. Volume 50:Issue 12(2018)
• Page Start: 2054
• Page End: 2070
• Publication Date: 2018-12-02
• Subjects: Cellular automaton -- bi-directional evolutionary structural optimization -- crashworthiness -- topological optimization; Engineering design -- Periodicals; Mathematical optimization -- Periodicals; 620.0042
• DOI: 10.1080/0305215X.2018.1435645
• Languages: English
• ISSNs: 0305-215X

Abstract

ABSTRACT: This article proposes a new algorithm for topological optimization under dynamic loading which combines cellular automata with bi-directional evolutionary structural optimization (BESO). The local rules of cellular automata are used to update the design variables, which avoids the difficulty of obtaining gradient information under nonlinear collision conditions. The intermediate-density design problem of hybrid cellular automata is solved using the BESO concept of 0–1 binary discrete variables. Some improvement strategies are also proposed for the hybrid algorithm to solve certain problems in nonlinear topological optimization, e.g. numerical oscillation. Some typical examples of crashworthiness problems are provided to illustrate the efficiency of the proposed method and its ability to find the final optimal solution. Finally, numerical results obtained using the proposed algorithms are compared with reference examples taken from the literature. The results show that the hybrid method is computationally efficient and stable.