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Topological material layout in plates for vibration suppression and wave propagation control

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Abstract

We propose a topological material layout method to design elastic plates with optimized properties for vibration suppression and guided transport of vibration energy. The gradient-based optimization algorithm is based on a finite element model of the plate vibrations obtained using the Mindlin plate theory coupled with analytical sensitivity analysis using the adjoint method and an iterative design update procedure based on a mathematical programming tool. We demonstrate the capability of the method by designing bi-material plates that, when subjected to harmonic excitation, either effectively suppress the overall vibration level or alternatively transport energy in predefined paths in the plates, including the realization of a ring wave device.

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Authors and Affiliations

  1. Department of Mathematics, Technical University of Denmark, Matematiktorvet, Building 303S, 2800, Lyngby, Denmark

    Anders A. Larsen

  2. NKT Flexibles, 2605, Brøndby, Denmark

    Bogi Laksafoss

  3. Department of Mechanical Engineering, Technical University of Denmark, Nils Koppels Allé, Building 404, 2800, Lyngby, Denmark

    Jakob S. Jensen & Ole Sigmund

Authors
  1. Anders A. Larsen
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  2. Bogi Laksafoss
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  3. Jakob S. Jensen
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  4. Ole Sigmund
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Corresponding author

Correspondence to Anders A. Larsen.

Additional information

Most of this work was performed while AAL was employed at the Department of Mechanical Engineering.

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Larsen, A.A., Laksafoss, B., Jensen, J.S. et al. Topological material layout in plates for vibration suppression and wave propagation control. Struct Multidisc Optim 37, 585–594 (2009). https://doi.org/10.1007/s00158-008-0257-0

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  • DOI: https://doi.org/10.1007/s00158-008-0257-0

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