IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v117y2015icp68-88.html
   My bibliography  Save this article

A quadratic temporal finite element method for linear elastic structural dynamics

Author

Listed:
  • Kim, Jinkyu
  • Kim, Dongkeon

Abstract

Recently, in order to overcome the key shortcoming in Hamilton’s principle, the extended framework of Hamilton’s principle was formulated. This new variational framework provides a sound base to develop novel temporal finite element methods with the proper use of initial conditions to the strong form. As its initial and practical application in structural dynamic analysis, this paper presents a quadratic temporal finite element method for linear elastic multi-degrees-of-freedom systems. Numerical features of the developed method are analytically and numerically investigated with comparison to the currently dominant method; the results highlight the improved performance of the proposed method.

Suggested Citation

  • Kim, Jinkyu & Kim, Dongkeon, 2015. "A quadratic temporal finite element method for linear elastic structural dynamics," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 117(C), pages 68-88.
    • Handle: RePEc:eee:matcom:v:117:y:2015:i:c:p:68-88
    DOI: 10.1016/j.matcom.2015.05.009
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475415001226
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2015.05.009?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. Qin, Junning & Zhong, Hongzhi, 2022. "A Galerkin Time quadrature element formulation for linear structural dynamics," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    2. Kim, Jinkyu & Lee, Hyeonseok & Shin, Jinwon, 2020. "Extended framework of Hamilton's principle applied to Duffing oscillation," Applied Mathematics and Computation, Elsevier, vol. 367(C).

    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:matcom:v:117:y:2015:i:c:p:68-88. 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: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.