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On the orthogonal similarity transformation (OST)-based sensitivity analysis method for robust topology optimization under loading uncertainty: a mathematical proof and its extension

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Abstract

The main purpose of this work is to provide a mathematical proof of our previously proposed orthogonal similarity transformation (OST)-based sensitivity analysis method (Zhao et al. Struct Multidisc Optim 50(3):517–522 2014a, Comput Methods Appl Mech Engrg 273:204–218 c); the proof is designed to show the method’s computational effectiveness. Theoretical study of computational efficiency for both robust topology optimization and robust concurrent topology optimization problems shows the necessity of the OST-based sensitivity analysis method for practical problems. Numerical studies were conducted to demonstrate the computational accuracy of the OST-based sensitivity analysis method and its efficiency over the conventional method. The research leads us to conclude that the OST-based sensitivity analysis method can bring considerable computational savings when used for large-scale robust topology optimization problems, as well as robust concurrent topology optimization problems.

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Acknowledgements

This work was supported by a grant from the Institute of Advanced Machinery and Design at Seoul National University (SNU-IAMD), and the Brain Korea 21 Plus project in 2017.

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Authors and Affiliations

  1. Department of Mechanical and Aerospace Engineering, Seoul National University, Seoul, 08826, Republic of Korea

    Junpeng Zhao, Byeng Dong Youn & Heonjun Yoon

  2. School of Mechanical Engineering and Automation, Beihang University, Bei**g, 100191, China

    Zhifang Fu & Chunjie Wang

Authors
  1. Junpeng Zhao
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  2. Byeng Dong Youn
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  3. Heonjun Yoon
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  4. Zhifang Fu
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  5. Chunjie Wang
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Correspondence to Byeng Dong Youn.

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Responsible Editor: Junji Kato, Dr.-Ing.

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Zhao, J., Youn, B.D., Yoon, H. et al. On the orthogonal similarity transformation (OST)-based sensitivity analysis method for robust topology optimization under loading uncertainty: a mathematical proof and its extension. Struct Multidisc Optim 58, 51–60 (2018). https://doi.org/10.1007/s00158-018-2013-4

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  • DOI: https://doi.org/10.1007/s00158-018-2013-4

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