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Fictitious domain models for topology optimization of time-harmonic problems

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Abstract

A new fictitious domain model for topology optimization of time-harmonic problems based on a wave to diffusion equation transition is proposed. By employing negative values of appropriate material coefficients, a tuneable exponential decay of the field amplitude in the fictitious domains can be obtained, whereas for the conventional model a finite field amplitude is always present. To demonstrate the applicability of the model, we consider two topology optimization problems; a volume minimization problem for acoustic topology optimization for which intuitive meaningful designs are obtained with the proposed model unlike the case with a conventional contrast model. For a structural topology optimization example, the proposed model is shown to remove problematic issues with structural artifacts found for a certain dynamic compliance minimization problem.

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Authors and Affiliations

  1. Center for Acoustic-Mechanical Microsystems/Section for Solid Mechanics, Department of Mechanical Engineering, Technical University of Denmark, DK-2800, Kgs. Lyngby, Denmark

    Jakob S. Jensen

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  1. Jakob S. Jensen
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Correspondence to Jakob S. Jensen.

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Responsible Editor: YoonYoung Kim

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The author has to his best ability included all information necessary for replication of the results both in the text and in dedicated tables. The corresponding Matlab code could be made available on request by emailing the author.

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Jensen, J.S. Fictitious domain models for topology optimization of time-harmonic problems. Struct Multidisc Optim 64, 871–887 (2021). https://doi.org/10.1007/s00158-021-02898-z

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  • DOI: https://doi.org/10.1007/s00158-021-02898-z

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