Design optimization of tailor-rolled blank thin-walled structures based on -support vector regression technique and genetic algorithm

ABSTRACT Tailor-rolled blank thin-walled (TRB-TH) structures have become important vehicle components owing to their advantages of light weight and crashworthiness. The purpose of this article is to provide an efficient lightweight design for improving the energy-absorbing capability of TRB-TH structures under dynamic loading. A finite element (FE) model for TRB-TH structures is established and validated by performing a dynamic axial crash test. Different material properties for individual parts with different thicknesses are considered in the FE model. Then, a multi-objective crashworthiness design of the TRB-TH structure is constructed based on the -support vector regression (-SVR) technique and non-dominated sorting genetic algorithm-II. The key parameters (C, and σ) are optimized to further improve the predictive accuracy of -SVR under limited sample points. Finally, the technique for order preference by similarity to the ideal solution method is used to rank the solutions in Pareto-optimal frontiers and find the best compromise optima. The results demonstrate that the light weight and crashworthiness performance of the optimized TRB-TH structures are superior to their uniform thickness counterparts. The proposed approach provides useful guidance for designing TRB-TH energy absorbers for vehicle bodies.

[1]  Timothy W. Simpson,et al.  Analysis of support vector regression for approximation of complex engineering analyses , 2003, DAC 2003.

[2]  Hui Zhang,et al.  Axial crushing of tapered circular tubes with graded thickness , 2015 .

[3]  G. Wen,et al.  Crushing analysis and multiobjective crashworthiness optimization of honeycomb-filled single and bitubular polygonal tubes , 2011 .

[4]  Qing Li,et al.  Crashworthiness study on functionally graded thin-walled structures , 2015 .

[5]  Jian-Bo Yang,et al.  Multiple Attribute Decision Making , 1998 .

[6]  Heung-Soo Kim,et al.  New extruded multi-cell aluminum profile for maximum crash energy absorption and weight efficiency , 2002 .

[7]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[8]  Guangyong Sun,et al.  Experimental study on crashworthiness of tailor-welded blank (TWB) thin-walled high-strength steel (HSS) tubular structures , 2014 .

[9]  Cengiz Baykasoglu,et al.  Energy absorption of circular aluminium tubes with functionally graded thickness under axial impact loading , 2015 .

[10]  Ching-Lai Hwang,et al.  Multiple Attribute Decision Making: Methods and Applications - A State-of-the-Art Survey , 1981, Lecture Notes in Economics and Mathematical Systems.

[11]  Jeong‐Soo Park Optimal Latin-hypercube designs for computer experiments , 1994 .

[12]  Qian Peng,et al.  Lightweight Design of B-pillar with TRB Concept Considering Crashworthiness , 2012, 2012 Third International Conference on Digital Manufacturing & Automation.

[13]  Aiguo Cheng,et al.  Crashworthiness design of vehicle structure with tailor rolled blank , 2016 .

[14]  George I. N. Rozvany,et al.  Structural and Multidisciplinary Optimization , 1995 .

[15]  Vladimir Vapnik,et al.  Statistical learning theory , 1998 .

[16]  Tomas Jansson,et al.  Using the response surface methodology and the D-optimality criterion in crashworthiness related problems , 2002 .

[17]  Ping Zhu,et al.  Metamodel-based lightweight design of B-pillar with TWB structure via support vector regression , 2010 .

[18]  Guangyao Li,et al.  Experimental Study on Crashworthiness of Functionally Graded Thickness Thin-Walled Tubular Structures , 2015 .

[19]  Mark White,et al.  A theoretical analysis for the quasi-static axial crushing of top-hat and double-hat thin-walled sections , 1999 .

[20]  Mark White,et al.  Experimental quasi-static axial crushing of top-hat and double-hat thin-walled sections , 1999 .

[21]  Adil Baykasoğlu,et al.  Multiple objective crashworthiness optimization of circular tubes with functionally graded thickness via artificial neural networks and genetic algorithms , 2017 .

[22]  Norman Jones,et al.  Dynamic progressive buckling of circular and square tubes , 1986 .

[23]  P. Pothuraju,et al.  Multidisciplinary design optimization on vehicle tailor rolled blank design , 2008 .

[24]  Fengxiang Xu Enhancing material efficiency of energy absorbers through graded thickness structures , 2015 .

[25]  Xiaodong Huang,et al.  Comparison of functionally-graded structures under multiple loading angles , 2015 .

[26]  Yujiang Xiang,et al.  Optimal crashworthiness design of a spot-welded thin-walled hat section , 2006 .

[27]  Hasan Kurtaran,et al.  Crashworthiness design optimization using successive response surface approximations , 2002 .

[28]  T. Wierzbicki,et al.  On the Crushing Mechanics of Thin-Walled Structures , 1983 .

[29]  Cengiz Baykasoglu,et al.  Quasi-static Axial Crushing Behavior of Thin-walled Circular Aluminum Tubes with Functionally Graded Thickness , 2016 .

[30]  M. Langseth,et al.  Static crushing of square aluminium extrusions with aluminium foam filler , 1999 .

[31]  T. Simpson,et al.  Comparative studies of metamodelling techniques under multiple modelling criteria , 2001 .