Discrete Optimization Design of Tailor-Welded Blanks (TWBs) Thin-Walled Structures Under Dynamic Crashing

  • Yisong Chen
  • Fengxiang XuEmail author
  • Suo Zhang
  • Kunying Wu
  • Zhinan Dong


Tailor-welded blanks (TWBs) thin-walled structures have been widely applied in field of automotive and construction due to their significant advantages in saving weight and improving crashworthiness. To further understand and improve crashing performance of TWB structures, this paper conducts parametric analysis and optimization design on TWB thin-walled tubes. Firstly, the numerical model of dynamic crashing event of different TWB tubes is derived from physical experiments. The parametric analysis results show that the material and thickness combinations have significant effects on the crashing performance. The energy-absorbed characteristics and deformed modes of TWBs are superior to those of tubes with uniform thickness. Then, two optimization cases of TWB tubes are presented through analysis of mean (ANOM) and updating orthogonal array, in which the thickness property and material types are considered as design variables. The results demonstrated that the performances of the optimized structure are much better than those of the initial counterpart.

Key Words

Dynamic crashing Discrete design Finite Element Analysis (FEA) Thin-walled structure Tailor-Welded Blank (TWB) 


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  1. Abkenar, S. M. S., Stanley, S. D., Miller, C. J., Chase, D. V. and Mcelmurry, S. P. (2015). Evaluation of genetic algorithms using discrete and continuous methods for pump optimization of water distribution systems. Sustainable Computing: Informatics and Systems, 8, 18–23.Google Scholar
  2. Attia, M., Meguid, S. and Nouraei, H. (2012). Nonlinear finite element analysis of the crush behaviour of functionally graded foam-filled columns. Finite Elements in Analysis and Design, 61, 50–59.MathSciNetCrossRefGoogle Scholar
  3. Bandyopadhyay, K., Panda, S., Saha, P. and Padmanabham, G. (2015). Limiting drawing ratio and deep drawing behavior of dual phase steel tailor welded blanks: FE simulation and experimental validation. J. Materials Processing Technology, 217, 48–64.CrossRefGoogle Scholar
  4. Baykasoğlu, A. and Baykasoğlu, C. (2016). Multiple objective crashworthiness optimization of circular tubes with functionally graded thickness via artificial neural networks and genetic algorithms. Proc. Institution of Mechanical Engineers, Part C: J. Mechanical Engineering Science, 231, 11, 2005–2016.Google Scholar
  5. Cao, X. and Wang, Y. (2015). Optimization of load— carrying and heat—insulating multi—layered thin—walled structures based on bionics using genetic algorithm. Structural and Multidisciplinary Optimization, 534, 813–824.MathSciNetCrossRefGoogle Scholar
  6. Chan, L., Chan, S., Cheng, C. and Lee, T. (2005a). Formability and weld zone analysis of tailor-welded blanks for various thickness ratios. J. Engineering Materials and Technology, 1272, 179–185.CrossRefGoogle Scholar
  7. Chan, L., Cheng, C., Chan, S. M., Lee, T. and Chow, C. (2005b). Formability analysis of tailor-welded blanks of different thickness ratios. J. Manufacturing Science and Engineering, 127,4, 743–751.CrossRefGoogle Scholar
  8. Costas, M., Díaz, J., Romera, L., Hernández, S. and Tielas, A. (2013). Static and dynamic axial crushing analysis of car frontal impact hybrid absorbers. Int. J. Impact Engineering, 62, 166–181.CrossRefGoogle Scholar
  9. Davies, R., Grant, G., Khaleel, M., Smith, M. and Oliver, H. E. (2001). Forming-limit diagrams of aluminum tailor-welded blank weld material. Metallurgical and Materials Transactions A, 322, 275–283.CrossRefGoogle Scholar
  10. Davies, R. W., Vetrano, J. S., Smith, M. T. and Pitman, S. G. (2002). Mechanical properties of aluminum tailor welded blanks at superplastic temperatures. J. Materials Processing Technology, 1281-3, 38–47.CrossRefGoogle Scholar
  11. Kuczek, T. (2016). Application of manufacturing constraints to structural optimization of thin-walled structures. Engineering Optimization, 482, 351–360.CrossRefGoogle Scholar
  12. Lee, K.-H., Yi, J.-W., Park, J.-S. and Park, G.-J. (2003). An optimization algorithm using orthogonal arrays in discrete design space for structures. Finite Elements in Analysis and Design, 401, 121–135.CrossRefGoogle Scholar
  13. Li, G. Y., Xu, F. X., Huang, X. D. and Sun, G. Y. (2015). Topology optimization of an automotive tailor-welded blank door. J. Mechanical Design, 1375, 055001-1—055001-8.Google Scholar
  14. Li, Z., Zheng, Z., Yu, J. and Guo, L. (2013). Crashworthiness of foam-filled thin-walled circular tubes under dynamic bending. Materials & Design, 52, 1058–1064.CrossRefGoogle Scholar
  15. Merklein, M., Johannes, M., Lechner, M. and Kuppert, A. (2014). A review on tailored blanks — Production, applications and evaluation. J. Materials Processing Technology, 2142, 151–164.CrossRefGoogle Scholar
  16. Narayanan, R. G. and Narasimhan, K. (2008). Predicting the forming limit strains of tailor-welded blanks. J. Strain Analysis for Engineering Design, 437, 551–563.CrossRefGoogle Scholar
  17. Pan, F., Zhu, P. and Zhang, Y. (2010). Metamodel-based lightweight design of B-pillar with TWB structure via support vector regression. Computers & Structures, 881-2, 36–44.CrossRefGoogle Scholar
  18. Qi, C. and Yang, S. (2014). Crashworthiness and lightweight optimisation of thin-walled conical tubes subjectedto an oblique impact. Int. J. Crashworthiness, 194, 334–351.CrossRefGoogle Scholar
  19. Sato, K., Inazumi, T., Yoshitake, A. and Liu, S.-D. (2013). Effect of material properties of advanced high strength steels on bending crash performance of hat-shaped structure. Int. J. Impact Engineering, 54, 1–10.CrossRefGoogle Scholar
  20. Shi, Y., Zhu, P., Shen, L. and Lin, Z. (2007). Lightweight design of automotive front side rails with TWB concept. Thin-Walled Structures, 451, 8–14.CrossRefGoogle Scholar
  21. Song, J., Chen, Y. and Lu, G. (2012). Axial crushing of thin-walled structures with origami patterns. Thin-Walled Structures, 54, 65–71.CrossRefGoogle Scholar
  22. Song, S. and Park, G. (2006). Multidisciplinary optimization of an automotive door with a tailored blank. Proc. Institution of Mechanical Engineers, Part D: J. Automobile Engineering, 220, 2, 151–163.Google Scholar
  23. Sun, G., Xu, F., Li, G. and Li, Q. (2014). Crashing analysis and multiobjective optimization for thin-walled structures with functionally graded thickness. Int. J. Impact Engineering, 64, 62–74.CrossRefGoogle Scholar
  24. Tang, L., Wang, H., Li, G. and Xu, F. (2013). Adaptive heuristic search algorithm for discrete variables based multi-objective optimization. Structural and Multidisciplinary Optimization, 484, 821–836.MathSciNetCrossRefGoogle Scholar
  25. Wang, H. and Li, G. (2012). Min—Median—Max metamodelbased unconstrained nonlinear optimization problems. Structural and Multidisciplinary Optimization, 453, 401–415.MathSciNetCrossRefzbMATHGoogle Scholar
  26. Wang, H., Tang, L. and Li, G. (2011). Adaptive MLSHDMR metamodeling techniques for high dimensional problems. Expert Systems with Applications, 3811, 14117–14126.Google Scholar
  27. Wang, H., Ye, F., Li, E. and Li, G. (2016). A comparative study of expected improvement-assisted global optimization with different surrogates. Engineering Optimization, 488, 1432–1458.CrossRefGoogle Scholar
  28. Wierzbicki, T. and Abramowicz, W. (1983). On the crushing mechanics of thin-walled structures. J. Applied Mechanics, 504a, 727–734.CrossRefzbMATHGoogle Scholar
  29. Xu, F. (2015). Enhancing material efficiency of energy absorbers through graded thickness structures. Thin-Walled Structures, 97, 250–265.CrossRefGoogle Scholar
  30. Xu, F. (2016). On modelling strategy of the weld line for tailor-welded structures under quasi-static and dynamic scenarios. Int. J. Vehicle Design, 723, 230–247.CrossRefGoogle Scholar
  31. Xu, F., Tian, X. and Li, G. (2015). Experimental study on crashworthiness of functionally graded thickness thinwalled tubular structures. Experimental Mechanics, 557, 1339–1352.CrossRefGoogle Scholar
  32. Xu, F. and Wang, C. (2016). Dynamic axial crashing of tailor-welded blanks (TWBs) thin-walled structures with top-hat shaped section. Advances in Engineering Software, 96, 70–82.CrossRefGoogle Scholar
  33. Xu, F. X., Sun, G. Y., Li, G. Y. and Li, Q. (2014a). Experimental investigation on high strength steel (HSS) tailor-welded blanks (TWBs). J. Materials Processing Technology, 2144, 925–935.CrossRefGoogle Scholar
  34. Xu, F. X., Sun, G. Y., Li, G. Y. and Li, Q. (2014b). Experimental study on crashworthiness of tailor-welded blank (TWB) thin-walled high-strength steel (HSS) tubular structures. Thin-Walled Structures, 74, 12–27.CrossRefGoogle Scholar
  35. Xu, F., Zhang, X. and Zhang, H. (2018a). A review on functionally graded structures and materials for energy absorption. Engineering Structures, 171, 309–325.CrossRefGoogle Scholar
  36. Xu, F., Zhang, S., Wu, K. Y. and Dong, Z. N. (2018b). Multi-response optimization design of tailor-welded blank (TWB) thin-walled structures using Taguchibased Gray relational analysis. Thin-walled Structures, 131, 286–296.CrossRefGoogle Scholar
  37. Yin, H., Wen, G., Hou, S. and Chen, K. (2011). Crushing analysis and multiobjective crashworthiness optimization of honeycomb-filled single and bitubular polygonal tubes. Materials & Design, 328-9, 4449–4460.CrossRefGoogle Scholar
  38. Zadpoor, A., Sinke, J. and Benedictus, R. (2007). Mechanics of tailor welded blanks: An overview. Key Engineering Materials, 344, 373–382.CrossRefGoogle Scholar
  39. Zarei, H. and Kröger, M. (2008). Bending behavior of empty and foam-filled beams: Structural optimization. Int. J. Impact Engineering, 356, 521–529.CrossRefGoogle Scholar
  40. Zhang, X., Wen, Z. and Zhang, H. (2014). Axial crushing and optimal design of square tubes with graded thickness. Thin-Walled Structures, 84, 263–274.CrossRefGoogle Scholar
  41. Zhang, X. and Zhang, H. (2013). Energy absorption of multi-cell stub columns under axial compression. Thin-Walled Structures, 68, 156–163.CrossRefGoogle Scholar
  42. Zhang, X. and Zhang, H. (2014). Axial crushing of circular multi-cell columns. Int. J. Impact Engineering, 65, 110–125.CrossRefGoogle Scholar
  43. Zhang, X. and Zhang, H. (2015). Relative merits of conical tubes with graded thickness subjected to oblique impact loads. Int. J. Mechanical Sciences, 98, 111–125.CrossRefGoogle Scholar
  44. Zhang, X., Zhang, H. and Wen, Z. (2015). Axial crushing of tapered circular tubes with graded thickness. Int. J. Mechanical Sciences, 92, 12–23.CrossRefGoogle Scholar
  45. Zhu, P., Shi, Y., Zhang, K. and Lin, Z. (2008). Optimum design of an automotive inner door panel with a tailorwelded blank structure. Proc. Institution of Mechanical Engineers, Part D: J. Automobile Engineering, 2228, 1337–1348.Google Scholar
  46. Zuo, W. and Saitou, K. (2017). Multi-material topology optimization using ordered SIMP interpolation. Structural and Multidisciplinary Optimization, 552, 477–491.MathSciNetCrossRefGoogle Scholar

Copyright information

© KSAE 2019

Authors and Affiliations

  • Yisong Chen
    • 1
    • 2
  • Fengxiang Xu
    • 3
    • 4
    Email author
  • Suo Zhang
    • 3
    • 4
  • Kunying Wu
    • 3
    • 4
  • Zhinan Dong
    • 3
    • 4
  1. 1.School of AutomobileChang’an UniversityXi’anChina
  2. 2.Key Laboratory of Automobile Transportation Safety Techniques of Ministry of TransportChang’an UniversityXi’anChina
  3. 3.Hubei Key Laboratory of Advanced Technology of Automotive ComponentsWuhan University of TechnologyWuhanChina
  4. 4.Hubei Collaborative Innovation Center for Automotive Components TechnologyWuhan University of TechnologyWuhanChina

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