IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/4281418.html
   My bibliography  Save this article

Research on Chaos Response of the Nonlinear Vibration System of Giant Magnetostrictive Actuator

Author

Listed:
  • Hongbo Yan
  • Yu Niu
  • Hong Gao
  • Hongbo Hao

Abstract

In the present study, the chaotic response of the nonlinear magnetostrictive actuator (GMA) vibration system is investigated. The mathematical model of the nonlinear GMA vibration system is established according to J-A hysteresis nonlinear model, quadratic domain rotation model, Newton’s third law, and principle of GMA structural dynamics by analyzing the working principle of GMA. Then, the Melnikov function method is applied to the threshold condition of the chaotic response of the system to obtain the sense of Smale horseshoe transformation. Furthermore, the mathematical model is solved to investigate the system response to the excitation force and frequency. Accordingly, the corresponding displacement waveform, phase plane trajectory, Poincaré map, and amplitude spectrum are obtained. The experimental simulation is verified using Adams software. The obtained results show that the vibration equation of the nonlinear GMA vibration system has nonlinear and complex motion characteristics with different motion patterns. It is found that the vibration characteristics of the system can be controlled through adjusting the excitation force and frequency.

Suggested Citation

  • Hongbo Yan & Yu Niu & Hong Gao & Hongbo Hao, 2020. "Research on Chaos Response of the Nonlinear Vibration System of Giant Magnetostrictive Actuator," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-14, March.
    • Handle: RePEc:hin:jnlmpe:4281418
    DOI: 10.1155/2020/4281418
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2020/4281418.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2020/4281418.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2020/4281418?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:jnlmpe:4281418. 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.