IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v180y2024ics0960077924000018.html
   My bibliography  Save this article

Dynamic characterisation of a nonlinear electromagnetic force model under simple harmonic excitation

Author

Listed:
  • Zhou, Longfei
  • Wang, Meiqi

Abstract

The classical single‑iron suspension model linearizes the electromagnetic force for further research, ignoring the influence of the nonlinear characteristics of the electromagnetic force on the system structure stability and control effect. In this paper, a single iron suspension model considering nonlinear electromagnetic force is established, and the state feedback method with displacement-velocity-acceleration as feedback parameters is used to control. The harmonic balance method is used to solve the amplitude-frequency response of the main resonance of the system and analyze the influence of each feedback parameter on the amplitude-frequency response of the system. The singularity theory is used to study the static bifurcation phenomenon of the system, and the dynamic bifurcation phenomenon of each feedback parameter in the state feedback method is studied. The global bifurcation characteristics of the system are studied by using cell mapping theory. The results show that the displacement and acceleration feedback parameters will change the resonance frequency domain and the resonance peak value of the system, and the velocity feedback parameters only change the resonance peak value of the system. The transition set of the system divides the unfolding parameter interface into three regions, and the corresponding bifurcation topology can be obtained in different parameter regions. In a certain range, when the feedback parameters of displacement, velocity and acceleration change, the motion state of the system will appear the situation of chaotic motion and period doubling motion alternating with each other. Under certain parameter conditions, the external excitation frequency and the feedback parameters of the system change, and the number and area of the attractor and its domain of attraction of the system will change.

Suggested Citation

  • Zhou, Longfei & Wang, Meiqi, 2024. "Dynamic characterisation of a nonlinear electromagnetic force model under simple harmonic excitation," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    • Handle: RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924000018
    DOI: 10.1016/j.chaos.2024.114450
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924000018
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.114450?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

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    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:180:y:2024:i:c:s0960077924000018. 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: 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.