IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v258y2015icp617-630.html
   My bibliography  Save this article

Modelling response of phononic Reissner–Mindlin plates using a spectral decomposition

Author

Listed:
  • Rohan, E.
  • Cimrman, R.
  • Miara, B.

Abstract

This paper reviews our very recent research focused on modelling of the phononic structures using homogenization of high contrast elastic media. We consider the Reissner–Mindlin type of the homogenized plate which involves frequency-dependent mass coefficients associated with the plate cross-section rotations and the plate deflections. Frequency intervals called band gaps exist for which these coefficients constituting the effective mass matrix can be negative, such that the propagation of elastic waves is restricted, or even stopped. We propose a spectral decomposition based method which is suitable to compute the structure response to an external harmonic loading by forces with frequencies in range of the band gaps. Numerical illustrations are given.

Suggested Citation

  • Rohan, E. & Cimrman, R. & Miara, B., 2015. "Modelling response of phononic Reissner–Mindlin plates using a spectral decomposition," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 617-630.
    • Handle: RePEc:eee:apmaco:v:258:y:2015:i:c:p:617-630
    DOI: 10.1016/j.amc.2014.12.037
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300314016919
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2014.12.037?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Rohan, E. & Lukeš, V., 2019. "Homogenization of the vibro–acoustic transmission on perforated plates," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 821-845.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:258:y:2015:i:c:p:617-630. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.