IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v44y2011i6p450-463.html
   My bibliography  Save this article

Analysis of the transient behavior in a two dof nonlinear system

Author

Listed:
  • Ture Savadkoohi, Alireza
  • Manevitch, Leonid I.
  • Lamarque, Claude-Henri

Abstract

In this paper we analyze the behavior of a nonlinear system under impulse loadings. The system is composed of a master “linear” degree of freedom (dof) substructure which is attached to a slave “nonlinear” energy sink (NES) for the sake of the control. Melnikov integral is endowed in order to study the possibility of existence of chaos and transversal homoclinic orbits in the system. Then, the complexification method as an alternative to nonlinear normal modes is implemented to reveal the behavior of the system during the energy exchange between two oscillators. The non-smooth time transformation (NSTT) technique is implemented in order to enlighten the system behavior during its extremely nonlinear regime, meanwhile stable and unstable zones of the system during its quasi-linear regime are highlighted.

Suggested Citation

  • Ture Savadkoohi, Alireza & Manevitch, Leonid I. & Lamarque, Claude-Henri, 2011. "Analysis of the transient behavior in a two dof nonlinear system," Chaos, Solitons & Fractals, Elsevier, vol. 44(6), pages 450-463.
    • Handle: RePEc:eee:chsofr:v:44:y:2011:i:6:p:450-463
    DOI: 10.1016/j.chaos.2011.03.007
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077911000427
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2011.03.007?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.

    References listed on IDEAS

    as
    1. Manevitch, L.I. & Gourdon, E. & Lamarque, C.H., 2007. "Parameters optimization for energy pumping in strongly nonhomogeneous 2 dof system," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 900-911.
    2. Gendelman, O.V. & Lamarque, C.H., 2005. "Dynamics of linear oscillator coupled to strongly nonlinear attachment with multiple states of equilibrium," Chaos, Solitons & Fractals, Elsevier, vol. 24(2), pages 501-509.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Taleshi, Maryam & Dardel, Morteza & Pashaie, Mohammad Hadi, 2016. "Passive targeted energy transfer in the steady state dynamics of a nonlinear plate with nonlinear absorber," Chaos, Solitons & Fractals, Elsevier, vol. 92(C), pages 56-72.
    2. Manevitch, L.I. & Gourdon, E. & Lamarque, C.H., 2007. "Parameters optimization for energy pumping in strongly nonhomogeneous 2 dof system," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 900-911.
    3. El-Bassiouny, A.F., 2009. "On methods for continuous systems with quadratic, cubic and quantic nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1308-1316.

    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:eee:chsofr:v:44:y:2011:i:6:p:450-463. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.