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Accurate analysis and thickness optimization of tailor rolled blanks based on isogeometric analysis

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Abstract

Combined isogeometric analysis (IGA) and shape optimization, this paper provides a method that can accurately analyze Tailor Rolled Blanks (TRB) and optimize its thickness profile continuously. While existed traditional methods can hardly solve these problems. TRB has a continuous transition between the thick and thin and a better surface quality. We found in IGA, two-dimension NURBS could present TRB geometry model exactly, but Kirchhoff shell element whose control points are allocated different thicknesses could not simulate TRB effectively. So, this paper uses three-dimension NURBS element to exactly present and accurately analyze TRB. It could avoid error caused by inaccurate presentation of geometry model and decrease error caused by solution field (displacement) approximation in numerical computation. Meanwhile, the positions of control points are taken as design variables in process of optimizing thickness profile. It can avoid the appearance of “unrealistic” shape and save lots of time spent in traditional tediously mesh updating as well as having better accuracy. This method makes accurate analysis and continuous thickness optimization of TRB become possible. It pushes the development of TRB engineering and extends the applications of IGA optimization. Several examples including benchmarks and application used the proposed method verified its effectivity, reliability and efficiency.

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Acknowledgments

This work was supported by the State Key Program of National Natural Science of China (61232014), National Science Foundation of China (11472101), State Key Program of National Natural Science of China (61232014), Science Fund of State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body (71575003) and Hunan Provincial Natural Science Foundation of China (2015JJ3037).

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Authors and Affiliations

  1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, People’s Republic of China

    C. S. Ding, X. Y. Cui & G. Y. Li

  2. Collaborative Innovation Center of Intelligent New Energy Vehicle, Shanghai, 200092, People’s Republic of China

    C. S. Ding, X. Y. Cui & G. Y. Li

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  1. C. S. Ding
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  2. X. Y. Cui
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Correspondence to G. Y. Li.

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Ding, C.S., Cui, X.Y. & Li, G.Y. Accurate analysis and thickness optimization of tailor rolled blanks based on isogeometric analysis. Struct Multidisc Optim 54, 871–887 (2016). https://doi.org/10.1007/s00158-016-1448-8

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  • DOI: https://doi.org/10.1007/s00158-016-1448-8

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