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Sensitivity reanalysis of static displacement using Taylor series expansion and combined approximate method

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Abstract

This paper presents a new sensitivity reanalysis of static displacement for arbitrary changes of design variables. The current displacement of modified sensitivity equations is approximately calculated by using Taylor series expansion and then the direct sensitivity equations are solved by combined approximate method. Two types of numerical examples, including size sensitivity and shape sensitivity, are used to verify the accuracy and efficiency of the proposed method, which is more efficient than the existed methods. Although the Kirsch and Papalambros reanalysis method is more accurate, the proposed method can also acquire the accurate solution for the case of large modification. Therefore, this new method will have great potential application in the gradient-based structural optimization.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant No. 51205159 and 51575226), the Plan for Scientific and Technological Development of Jilin Province (Grant No. 20140101071JC) and the Foundation of Key Laboratory of Advanced Manufacture Technology for Automobile Parts, Ministry of Education (Grant No. 2014KLMT01).

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Authors and Affiliations

  1. School of Mechanical Science and Engineering, Jilin University, Changchun, 130025, People’s Republic of China

    Wenjie Zuo, Jiantao Bai & Jufeng Yu

  2. Key Laboratory of Advanced Manufacture Technology for Automobile Parts, (Chongqing University of Technology), Ministry of Education, Chongqing, People’s Republic of China

    Wenjie Zuo

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  1. Wenjie Zuo
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  2. Jiantao Bai
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  3. Jufeng Yu
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Correspondence to Wenjie Zuo.

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Zuo, W., Bai, J. & Yu, J. Sensitivity reanalysis of static displacement using Taylor series expansion and combined approximate method. Struct Multidisc Optim 53, 953–959 (2016). https://doi.org/10.1007/s00158-015-1368-z

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  • DOI: https://doi.org/10.1007/s00158-015-1368-z

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