IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v363y2019ic46.html
   My bibliography  Save this article

A framework of time integration methods for nonsmooth systems with unilateral constraints

Author

Listed:
  • Zhang, H.M.
  • Xing, Y.F.

Abstract

A framework of time integration methods for nonsmooth systems with unilateral constraints is established in this paper, which solves non-impulsive dynamic equations at every step, and deals with impulsive dynamic equations at the end of steps that may involve impacts. The computational procedures of the Generalized-α method and the Bathe method are provided to show this framework, and how to select auxiliary parameters in the procedure is discussed for the benefit of applications. In addition, to avoid high penetration depth and improve the accuracy of detection, an adjustable step size strategy is developed. The provided procedures possess second-order accuracy for smooth motion, and errors caused by the approximate treatment of impacts are controlled by setting an allowable penetration depth. Besides, the observed oscillations of contact forces at contact boundary can be effectively filtered out by the Bathe method. Compared with the classical Moreau-Jean time-stepping scheme, the numerical experiment of the slider-crank mechanism validates that the proposed framework enjoys advantages on accuracy and efficiency.

Suggested Citation

  • Zhang, H.M. & Xing, Y.F., 2019. "A framework of time integration methods for nonsmooth systems with unilateral constraints," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    • Handle: RePEc:eee:apmaco:v:363:y:2019:i:c:46
    DOI: 10.1016/j.amc.2019.124590
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S009630031930582X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2019.124590?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.

    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:363:y:2019:i:c:46. 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.