IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/183257.html
   My bibliography  Save this article

Nonlinear Dynamical Analysis for the Cable Excited with Parametric and Forced Excitation

Author

Listed:
  • C. Z. Qian
  • C. P. Chen
  • G. W. Zhou

Abstract

Considering the deck vibration effect on the cable in cable-stayed bridge, using nonlinear structure dynamics theory, the nonlinear dynamical equation for the stayed cable excited with deck vibration is proposed. Research shows that the vertical vibration of the deck has a combined parametric and forced excitation effect on the cable when the angle of the cable is taken into consideration. Using multiscale method, the 1/2 principle parametric resonance is studied and the bifurcation equation is obtained. Despite the parameters analysis, the bifurcation characters of the dynamical system are studied. At last, by means of numerical method and software MATHMATIC, the effect rules of system parameters to the dynamical behavior of the system are studied, and some useful conclusions are obtained.

Suggested Citation

  • C. Z. Qian & C. P. Chen & G. W. Zhou, 2014. "Nonlinear Dynamical Analysis for the Cable Excited with Parametric and Forced Excitation," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-6, October.
    • Handle: RePEc:hin:jnljam:183257
    DOI: 10.1155/2014/183257
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2014/183257.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2014/183257.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/183257?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
    ---><---

    More about this item

    Statistics

    Access and download statistics

    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:hin:jnljam:183257. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.