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Free-form optimization of heteromorphic cores in sandwich structures to enhance their thermal buckling behavior

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Abstract

Sandwich structures have several potential applications in structural engineering because of the different material properties of the skin and core. In particular, sandwich structures with heteromorphic cores can satisfy the special requirements of engineering and structural design. In this study, to enhance the critical thermal buckling behavior of sandwich structures with heteromorphic cores, we developed a free-form optimization system based on a gradient method to optimize the core shapes under a volume constraint. The free-form optimization system combined with a finite element method code and an in-house program consists of thermal buckling analysis, initial thermal stress analysis, the derivation of the sensitivity function, velocity analysis, and shape update. According to the optimal results of the design examples, the developed free-form optimization system could significantly enhance the thermal buckling behavior of sandwich structures. In particular, by simply specifying the constraint conditions in the velocity analysis, we could maintain the initial shape of the specified parts in the heteromorphic core during the free-form optimization process to satisfy special requirements.

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Acknowledgments

A part of this work was supported by grants-in-aid from the Smart Vehicle Research Center at Toyota Technological Institute.

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Authors and Affiliations

  1. Department of Production Systems Engineering and Sciences, Komatsu University, Nu 1-3 Shicyomachi, Komatsu, Ishikawa, 923-8511, Japan

    Jin-Xing Shi & Shinobu Sakai

  2. Department of Advanced Science and Technology, Toyota Technological Institute, 2-12-1 Hisakata, Tenpaku-ku, Nagoya, Aichi, 468-8511, Japan

    Kana Yoshizumi & Masatoshi Shimoda

Authors
  1. Jin-Xing Shi
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  2. Kana Yoshizumi
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  3. Masatoshi Shimoda
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  4. Shinobu Sakai
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Correspondence to Jin-Xing Shi.

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Replication of results

The free-form optimization system developed consists of in-house C programs and MSC/NASTRAN for finite element analyses. Their executions are controlled with “Batch program” on Windows OS until the convergence. For the benchmark calculation by readers, we will provide the MSC NASTRAN input code for obtaining Figs. 4 and 8 we used in this paper.

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Shi, JX., Yoshizumi, K., Shimoda, M. et al. Free-form optimization of heteromorphic cores in sandwich structures to enhance their thermal buckling behavior. Struct Multidisc Optim 64, 1925–1937 (2021). https://doi.org/10.1007/s00158-021-02955-7

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  • DOI: https://doi.org/10.1007/s00158-021-02955-7

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