Crashworthiness analysis and multi-objective optimization of expanding circular tube energy absorbers with cylindrical a
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Crashworthiness analysis and multi-objective optimization of expanding circular tube energy absorbers with cylindrical anti-clamber under eccentric loading for subway vehicles Weiyuan Guan 1,2,3 & Guangjun Gao 1,2,3 & Yao Yu 1,2,3 & Tianyu Zhuo 1,2,3 Received: 4 June 2019 / Revised: 14 September 2019 / Accepted: 9 October 2019 # Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract This paper presents an investigation of the crashworthiness of expanding circular tube energy absorbers with a cylindrical anticlamber under eccentric loading for subway vehicles. A finite-element model of energy absorbers is created and validated by two quasi-static experiments, and the strain rate sensitivity is evaluated using standard coefficients of the Cowper-Symonds constitutive model. A parametric study is performed using the validated finite-element models. It is found that the eccentric collision of two energy absorbers has a significant effect on their crashworthiness and leads to a decrease in the specific energy absorption (SEA) and an increase in the peak crushing force (PCF). The structural parameters of the energy absorber, including the wall thickness t, conical angle α, and punch radius rp, have a significant effect on its crashworthiness under different eccentric distances. Sobol sensitivity analysis is employed to analyze the effects of the design parameters (t, α, and rp) on the objective responses (EA and PCF). The results show that the design variables t and α have a greater effect on the sensitivity of the EA and PCF functions for the eccentric distance of h = 0 and 40 mm. The interaction between punch angle α and punch radius rp has significant effect on EA. To improve the crashworthiness of the expanding circular tubes, a multi-objective optimization is applied to achieve the maximum EA and minimum PCF values, and weight factors are introduced to investigate the crashworthiness optimization under single-eccentric loading and multiple-eccentric loading. The optimization solutions of the expanding circular tubes under different single-eccentric loadings have considerable implications. For multiple-eccentric loading, the results show that the crashworthiness of the expanding circular tube energy absorber can be better balanced. Keywords Crashworthiness . Eccentric . Expanding . Sensitivity analysis . Multi-objective optimization
1 Introduction The rail transit industry has developed rapidly in recent years, and researchers are paying increasing attention to the crashResponsible Editor: Emilio Carlos Nelli Silva * Guangjun Gao [email protected] 1
Key Laboratory of Traffic Safety on the Track, Central South University, Changsha 410075, China
2
Joint International Research Laboratory of Key Technology for Rail Traffic Safety Central South University, Changsha 410075, China
3
National & Local Joint Engineering Research Center of Safety Technology for Rail Traffic Vehicle, Central South University, Changsha 410075, China
worthiness of subway vehicles. There are many dif
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