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Multi-objective optimization of an automotive body component with fiber-reinforced composites

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Abstract

In this study, the design optimization process of a vehicle front body structure made of short-fiber composites is proposed. The aim of the optimization process is to reduce the weight in consideration of quality and production characteristics. Injection molding of short-fiber-reinforced composites leads to anisotropic material properties which depend on the dimensions of the structure, a finding which is taken into account in this research. First, a basic design is derived through topology optimization that assumes linear isotropic material properties. Second, anisotropic properties are derived by an injection molding analysis for each design point and are applied to a structural analysis to consider the anisotropic properties according to the dimensions of the structure. Third, based on the analysis results, a surrogate model is created and multi-objective optimization is conducted. The Pareto region, inversely correlated with the lightweight effect, the quality and the production characteristics, is identified. The optimal solution based on the design goal is derived using the goal-programing method.

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References

  • Advani SG, Tucker III CL (1987) The use of tensors to describe and predict fiber orientation in short fiber composites. J Rheol 31(8):751–784

    Article  Google Scholar 

  • Arlot S, Celisse A (2010) A survey of cross-validation procedures for model selection. Stat Surv 4:40–79

    Article  MathSciNet  Google Scholar 

  • Bendsøe MP, Kikuchi N (1988) Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng 71(2):197–224

    Article  MathSciNet  Google Scholar 

  • Boggs PT, Jon WT (1995) Sequential quadratic programming. Acta Numer 4:1–51

    Article  MathSciNet  Google Scholar 

  • Brooker A, Walrd J, Wang L (2013) Lightweighting impacts on fuel economy, cost and component losses (No. 2013-01-0381). SAE Technical Paper

  • Cacéres C (2009) Transient environmental effects of light ally substitutions in transport vehicles. Mater Des 30(8):2813–2822

    Article  Google Scholar 

  • Cheron H, Moulin JP, Orlando M (1999) Modular systems: a new architecture for the front of the car (No 1999-01-0844). SAE Technical Paper

  • Cottrell PE (2001) Analysis of different closeout structures for a FEM (No 2001-01-0760). SAE Technical Paper

  • Deaton JD, Grandhi RV (2014) A survey of structural and multidisciplinary continuum topology optimization: post 2000. Struct Multidisc Optim 49(1):1–38

    Article  MathSciNet  Google Scholar 

  • Fang J, Gao Y, Sun G, Zhangy Y, Li Q (2014) Crashworthiness design of foam-filled bitubal structures with uncertainty. Int J Non Linear Mech 67:120–132

    Article  Google Scholar 

  • Fang J, Gao Y, Sun G, Xu C, Li Q (2016) Multiobjective sequential optimization for a vehical door using hybrid materials tailo-welded structure. Proc Inst Mech Eng C J Mech Eng Sci 230(17):3092–3100

    Article  Google Scholar 

  • Folgar F, Tucker IIICL (1984) Orientation behavior of fibers in concentrated suspensions. J Reinf Plast Compos 3(2):98–119

    Article  Google Scholar 

  • Foss PH, Tseng HC, Snawerdt J, Chang YJ, Yang WH, Hsu CH (2014) Prediction of fiber orientation distribution in injection molded parts using Moldex3D simulation. Polym Compos 35(4):671–680

    Article  Google Scholar 

  • Gupta M, Wang KK (1993) Fiber orientation and mechanical properties of short-fiber-reinforced injection-molded composites: simulated and experimental results. Polym Compos 14(5):367–382

    Article  Google Scholar 

  • Hayter A (2012) Probability and statics for engineers and scientists, Nelson Education

  • Jeffery GB (1922) The motion of ellipsoidal particles immersed in a viscous fluid. Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences 102(715):161–179. The Royal Society

    Article  Google Scholar 

  • Jin R, Chen W, Simpson TW (2001) Comparative studies of metamodeling techniques under multiple modelling criteria. Struct Multidiscip Optim 23(1):1–13

    Article  Google Scholar 

  • Kulekei M (2008) Magnesium and its alloys applications in automotive industry. Int J Adv Manuf Technol 39 (9-10):851–865

    Article  Google Scholar 

  • Lasdon LS, Fox RL, Ratner MW (1974) Nonlinear optimization using the generalized reduced gradient method. Revue franc̣aise d’automatique, d’informatique et de recherche opérationnelle. Recherche Opérationnelle 8(3):73–103

    Article  MathSciNet  Google Scholar 

  • Laumanns M, Thiele L, Zitzler E (2006) An efficient, adaptive parameter variation scheme for metaheuristics based on the epsilon-constraint method. Eur J Oper Res 169(3):932–942

    Article  MathSciNet  Google Scholar 

  • Li C, Kim IY, Jeswiet J (2015) Conceptual and detailed design of an automotive engine cradle by using topology, shape, and size optimization. Struct Multidisc Optim 51(2):547–564

    Article  Google Scholar 

  • Lin B, Jin X, Zheng R, Costa FS, Fan Z (2004) 3D fiber orientation simulation for plastic injection molding. AIP Conf Proc 712(1):282–287

    Article  Google Scholar 

  • Lucintel (2015) Growth opportunities in the global automotive lightweight materials market

  • Refaeilzadeh P, Tang L, Liu H (2009) Cross-validation. In: Encyclopedia of database systems. Springer, USA, pp 532–538

  • Rao SS (2009) Engineering optimization: theory and practice. Wiley

  • Seo YD, Youn SK, Yeon JH, Chang S, Yoo J (2004) Topology optimization of inner-wall stiffener for critical buckling loads of cylindrical containers. In: Multidisciplinary analysis and optimization conference, vol 30

  • Shenqing W, Jun L (2010) Application of ceramic short fiber reinforced Al alloy matrix composite on piston for internal combustion engines. Chinal foundry 7(4):408–411

    Google Scholar 

  • Song X, Sun G, LI G, Gao W, Li Q (2013) Crashworthiness optimization of foam-filled tapered thin-walled structure using multiple surrogate models. Struct Multidisc Optim 47(2):221– 231

    Article  MathSciNet  Google Scholar 

  • Sun G, Zhang H, Fang J, Li G, Li Q (2017a) Multi-objective and multi-case reliability-based design optimization for tailor rolled blank (TRB) structures. Struct Multidisc Optim 55(5):1899–1916

    Article  Google Scholar 

  • Sun G, Zhang H, Lu G, Jianwen Guo, Cui J, Li Q (2017b) An experimental and numerical study on quasi-static and dynamic crashing behaviors for tailor rolled blank (TRB) structures. Mater Des 118:175–197

    Article  Google Scholar 

  • Sun G, Liu T, Fang J, Steven GP, Li Q (2018) Configurational optimization of multi-cell topologies for multiple oblique loads. Struct Multidisc Optim 57(2):469–188

    Article  MathSciNet  Google Scholar 

  • VerWeyst BE, Tucker III CL, Foss PH, O’Gara JF (1999) Fiber orientation in 3-D injection molded features: prediction and experiment. Int Polym Process 14(4):409–420

    Article  Google Scholar 

  • Wang GG, Shan S (2007) Review of metamodeling techniques in support of engineering design optimization. J Mech Des 129(4):370–380

    Article  Google Scholar 

  • Xiong F, Wang D, Ma Z, Chen S, Lv T, Lu F (2018) Structure-material integrated multi-objective lightweight design of the front end structure of automobile body. Struct Multidisc Optim 57(2):829–847

    Article  Google Scholar 

  • Zhang H, Sun G, Xiao Z, Li G, Li Q (2018) Bending characteristics of top-hat structures through tailor rolled blank (TRB) process. Thin-Walled Struct 123:420–440

    Article  Google Scholar 

  • Zheng G, Pang T, Sun G, Suzhen Wu, Li Q (2016) Theoretical, numerical, and experimental study on laterally variable thickness (LVT) multi-cell tubes for crashworthiness. Int J Mech Sci 118:283–297

    Article  Google Scholar 

  • Zhu G, Sun G, Li G, Cheng A, Li Q (2018) Modeling for CFRP structures subjected to quasi-static crushing. Compos Struct 184: 41–55

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. R&D Center FEM&Cooling Fan Team, Hanon Systems, 95 Sinilseo-ro, Daedeok-gu, Daejeon, 34325, Republic of Korea

    Sung-Wook Park

  2. Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, 291 Daehak-ro, Yuseong-gu, Daejeon, 34141, Republic of Korea

    Jae-Hoon Choi & Byung-Chai Lee

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  1. Sung-Wook Park
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  2. Jae-Hoon Choi
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  3. Byung-Chai Lee
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Correspondence to Byung-Chai Lee.

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Park, SW., Choi, JH. & Lee, BC. Multi-objective optimization of an automotive body component with fiber-reinforced composites. Struct Multidisc Optim 58, 2203–2217 (2018). https://doi.org/10.1007/s00158-018-2008-1

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  • DOI: https://doi.org/10.1007/s00158-018-2008-1

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