IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v394y2021ics0096300320307700.html
   My bibliography  Save this article

Comparisons of matched interface and boundary (MIB) method and its interpolation formulation for free vibration analysis of stepped beams and plates

Author

Listed:
  • Song, Zhiwei
  • Li, Wei
  • He, Xiaoqiao
  • Xie, De

Abstract

This work conducts a comparison study of matched interface and boundary (MIB) method and its interpolation formulation for free vibration analysis of stepped beams and plates. Two types of schemes are used to describe the relations between interfaces and grid points in one-dimensional and two-dimensional domains. In the first scheme, the interfaces are located on grid points, while, in the second scheme, the interfaces lie between grid points. Detailed procedures of MIB and the interpolation formulation of MIB (IMIB) are presented in these two schemes. Based on the in-depth understanding of MIB, a new algorithm is also developed to deal with cross derivatives of interface conditions of plates with interfaces lying between grid points to improve the accuracy. Various examples of stepped beams and plates are chosen to illustrate the performance of MIB and IMIB. This research work reveals that on the whole, MIB and IMIB are equivalent in the solutions of eigenvalues of beams and plates. However, some differences can also be observed for very large computational bandwidths. Some important conclusions are drawn at the end of this study.

Suggested Citation

  • Song, Zhiwei & Li, Wei & He, Xiaoqiao & Xie, De, 2021. "Comparisons of matched interface and boundary (MIB) method and its interpolation formulation for free vibration analysis of stepped beams and plates," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    • Handle: RePEc:eee:apmaco:v:394:y:2021:i:c:s0096300320307700
    DOI: 10.1016/j.amc.2020.125817
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300320307700
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2020.125817?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. Nazira Mohamed & Salwa A. Mohamed & Mohamed A. Eltaher, 2022. "Nonlinear Static Stability of Imperfect Bio-Inspired Helicoidal Composite Beams," Mathematics, MDPI, vol. 10(7), pages 1-20, March.

    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:394:y:2021:i:c:s0096300320307700. 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.