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Topology optimization of frequency dependent viscoelastic structures via a level-set method

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  • Delgado, G.
  • Hamdaoui, M.

Abstract

Viscoelastic materials follow a liquid-like elastic behavior whose characteristics depend on the excitation frequency. Nowadays, this type of materials represent a high opportunity for vibration damping treatments in the automotive and aeronautic industries, for instance. This work is devoted to the application of the level-set method for topology optimization of viscoelastic structures. We look for the best distribution of viscoelastic material within a reference domain for the design of purely viscoelastic 3D damping structures and 2D viscoelastic damping treatments. In both cases one desires to maximize the structure capacity to dissipate energy measured here by the modal loss factor of the first vibration mode.

Suggested Citation

  • Delgado, G. & Hamdaoui, M., 2019. "Topology optimization of frequency dependent viscoelastic structures via a level-set method," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 522-541.
    • Handle: RePEc:eee:apmaco:v:347:y:2019:i:c:p:522-541
    DOI: 10.1016/j.amc.2018.11.014
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    Cited by:

    1. Yu, Qian & Wang, Kunyang & Xia, Binhu & Li, Yibao, 2021. "First and second order unconditionally energy stable schemes for topology optimization based on phase field method," Applied Mathematics and Computation, Elsevier, vol. 405(C).

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