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A note on truss topology optimization under self-weight load: mixed-integer second-order cone programming approach

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Abstract

The self-weight load is a typical design-dependent load in structural optimization. This paper presents a mixed-integer second-order cone programming approach to global optimization of truss topology under the self-weight load.

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Notes

  1. The reader may refer to, e.g., Kanno (2013, 2016a, 2016b) and Kočvara (to appear) for applications of MISOCP to structural optimization.

  2. If we allow the presence of overlapping members in a solution, then the problem is formulated as SOCP, i.e., problem (1) with (2).

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Acknowledgments

The work of the first author is partially supported by JSPS KAKENHI 26420545 and 15KT0109.

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Authors and Affiliations

  1. Laboratory for Future Interdisciplinary Research of Science and Technology, Institute of Innovative Research, Tokyo Institute of Technology, Nagatsuta 4259, Yokohama, 226-8503, Japan

    Yoshihiro Kanno

  2. Kozo Keikaku Engineering, Inc., Honcho 4-38-13, Tokyo, 164-0012, Japan

    Hiromichi Yamada

Authors
  1. Yoshihiro Kanno
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  2. Hiromichi Yamada
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Correspondence to Yoshihiro Kanno.

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Kanno, Y., Yamada, H. A note on truss topology optimization under self-weight load: mixed-integer second-order cone programming approach. Struct Multidisc Optim 56, 221–226 (2017). https://doi.org/10.1007/s00158-017-1657-9

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  • DOI: https://doi.org/10.1007/s00158-017-1657-9

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