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Conceptual and detailed design of an automotive engine cradle by using topology, shape, and size optimization

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Abstract

An automotive engine cradle supports many crucial components and systems, such as an engine, transmission, and suspension. Important performance measures for the design of an engine cradle include stiffness, natural frequency, and durability, while minimizing weight is of primary concern. This paper presents an effective and efficient methodology for engine cradle design from conceptual design to detailed design using design optimization. First, topology optimization was applied on a solid model which only contains the possible engine cradle design space, and an optimum conceptual design was determined which minimizes weight while satisfying all stiffness constraints. Based on topology optimization results, a design review was conducted, and a revised model was created which addresses all structural and manufacturability concerns. Shape and size optimization was then performed in the detailed design stage to further minimize the mass while meeting the stiffness and natural frequency targets. Lastly, the final design was validated for durability. The initial design domain had the mass of 82.6 kg; topology optimization in conceptual design reduced the mass to 26.7 kg; and the detailed design task involving shape and size optimization further reduced the mass to 21.4 kg.

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References

  • Altair OptiStruct (2011) OptiStruct 11.0 User Manual. Altair Engineering, Inc,Troy, MI

  • Bendsøe MP, Sigmund O (2003) Topology optimization:theory, methods and applications. Springer

  • Boyle C, Kim IL (2011) Three-dimensional Micro-level Computational Study of Wolff’s law via Trabecular Bone Remodeling in the Human Proximal Femur Using Design Space Topology Optimization. J Biomech 44:935–942. doi:10.1016/j.jbiomech.2010.11.029

    Article  Google Scholar 

  • Cavazzuti M, Baldini A, Bertocchi E, Costi D, Torricelli E, Moruzzi P (2011) High performance automotive chassis design: a topology optimization based approach. Struct Multidisc Optim 44:45–56. doi:10.1007/s00158-010-0578-7

    Article  Google Scholar 

  • Chen XM, Mahmood H, Wagner DA, Baccouche MR (2004) Aluminium Subframe Design for Crash Energy Management SAE Technical Paper Series 2004-01-1775

  • Chiandussi G, Gaviglio I, Ibba A (2004) Topology optimization of an automotive component without final volume constraint specification. Adv Eng Softw 35:609–617. doi:10.1016/j.advengsoft.2003.07.002

    Article  MATH  Google Scholar 

  • Forsberg J, Nilsson L (2007) Topology Optimization in Crashworthiness Design. Struct Multidiscp Optim 33:1–12. doi:10.1007/s00158-006-0040-z

    Article  Google Scholar 

  • HBM nNode (2011) nNode Design Life 8.0 User Manual. HBM, Inc, Southfield, MI

  • Hosford WF (2005) Mechanical behavior of materials. Cambrige University Press, p 292

  • Jang IG, Kim IL, Kwak BM (2009) Analogy of strain energy density based bone remodeling algorithm and structural topology optimization. ASME J Biomech Eng 131 (1). doi:10.1115/1.3005202. Article 011012

  • Kang JY, Choi BI, Lee HJ, Kim JS, Kim KJ (2006) Neural network application in fatigue damage analysis under multiaxial random loadings. Int J Fatigue 28:132–140. doi:10.1016/j.ijfatigue.2005.04.012

    Article  Google Scholar 

  • Kim BS, Spiryagin M, Kim BS, Yoo HH (2009) Analysis of the effects of main design parameters variation on the vibration characteristics of a vehicle sub-frame. J Mech Sci Technol 23:960–963. doi:10.1007/s12206-009-0321-8

    Article  Google Scholar 

  • Kim IL, Kwak BM (2002) design space optimization using a numerical design continuation method. Int J Numer Methods Eng 53(8):1979–2002. doi:10.1002/nme.369

    Article  MATH  Google Scholar 

  • Kim IL, Weck OD (2005) Variable Chromosome Length Genetic Algorithm for Progressive Refinement in Topology Optimization. Struct Multidiscip Optim 29:445–456. doi:10.1007/s00158-004-0498-5

    Article  Google Scholar 

  • Kim KJ, Kim JS, Choi BI, Kim KH, Choi HH, Kim CW, Kang KW, Song JH, Sung CW (2007) Development of automotive engine cradle by hydroforming process. J Mech Sci Technol 21:1523–1527

    Article  Google Scholar 

  • Kim SY, Kim IL, Mechefske C (2011) A new efficient convergence criterion for reducing computational expense in topology optimization: reducible design variable method. Int J Numer Methods Eng 2012 90:752–783

  • Lee DC, Lee JI (2003) Structural optimization concept for the design of an aluminium control arm.Proceedings of the institution of mechanical engineers. Part D J Automob Eng 217(8):647–656. doi:10.1243/09544070360692041

    Article  Google Scholar 

  • Lee HA, Park GJ (2012) Topology optimization for structures with nonlinear behaviour using the equivalent static loads method. J Mech Des 134:031004–1-14

    Google Scholar 

  • Lee KH, Shin JK, Song SI, Yoo YM, Park GJ (2003) Automotive door design using structural optimization and design of experiments.Proceedings of the institution of mechanical engineers. Part D J Automob Eng 217(10):855–865. doi:10.1243/095440703769683261

    Article  Google Scholar 

  • Lee SJ, Lee HA, Yi SI, Kim DS, Yang HW, Park GJ (2013) Design flow for the crash box in a vehicle to maximize energy absorption proceedings of the institution of mechanical engineers. Part D J Automob Eng 227(2):179–200. doi:10.1177/0954407012451545

    Article  Google Scholar 

  • Luo YT, Di T (2013) Lightweight design of an in-wheel motor using the hybrid optimization method proceedings of the institution of mechanical engineers. Part D J Automob Eng 0(0):179–200. doi:10.1177/0954407013497194

    Google Scholar 

  • Samareh JA (1999) A survey of shape parameterization techniques.CEAS AIAA ICASE NASA Langley international forum on aeroelasticity and atructural dynamics:333–343

  • Stolpe M, Svanberg K (2001) An alternative interpolation scheme for minimum compliance topology optimization. Struct Multidisc Optim 22(2):116–124. doi:10.1007/s001580100129

    Article  Google Scholar 

  • Torstenfelt B, Klarbring A (2007) Conceptual optimal design of modular car product families using simultaneous size. Shape Topol Optim Finite Elem Anal Des 43:1050–1061. doi:10.1016/j.finel.2007.06.005

  • Triantos D, Michaels M (1999) Design and fabrication of an aluminium engine cradle for a general motors vehicle. SAE technical paper series 1999-01-0659

  • Wallentowitz H (2004) Structural Design of Vehicles.Institute fur Kraftfahrwesen,Aachen

  • Wang LS, Basu PK, Leiva JP (2004). Automobile body reinforcement by finite element optimization finite elements in analysis and design 40:879–893. doi:10.1016/S0168-874X(03)00118-5

    Article  Google Scholar 

  • Waquas S, Fan YQ, Wang YQ (2008) Application of topology optimization and manufacturing simulations – a new trend in design of aircraft components. Proc Int MultiConference Eng Comput Sci 2:19–21. ISBN: 978-988-17012-1-3

    Google Scholar 

  • Woisetschlaeger E (2001) Keine Monokultur.Automobile Entwicklung:130

  • Xu JT, Song YD, Ding JB, Ding SQ (2010) Analysis of a front sub-frame fatigue strength based on miner theory. 2010 international conference on computer application and system modelling

  • Yang RJ, Chahande AI (1995) Automotive applications of topology optimization. Struct Optim 9:245–249. doi:10.1007/BF01743977

    Article  Google Scholar 

  • Zhou M, Shyy YK, Thomas HL (2001) Checkerboard and minimum member size control in topology optimization. Struct Multidisc Optim 21:152–158

    Article  Google Scholar 

Download references

Acknowledgments

The authors would like to express their thanks to the group of CAD & CAE department and the members of Research & Development department from Van-Rob Inc. Their suggestions are acknowledged and much appreciated.

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Correspondence to Il Yong Kim.

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Li, C., Kim, I.Y. & Jeswiet, J. Conceptual and detailed design of an automotive engine cradle by using topology, shape, and size optimization. Struct Multidisc Optim 51, 547–564 (2015). https://doi.org/10.1007/s00158-014-1151-6

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  • DOI: https://doi.org/10.1007/s00158-014-1151-6

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