IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v389y2010i16p3101-3108.html
   My bibliography  Save this article

Spring pendulum: Parametric excitation vs an external force

Author

Listed:
  • Gitterman, M.

Abstract

The method of multiple scales is applied to obtain an approximate solution to the nonlinear dynamic equations describing a spring pendulum with the vertical oscillations of the suspension point up to and including the fourth order corrections. The solutions of these equations, where an external force enters the equations multiplicatively, are compared with the solution considered earlier, for the behavior of a spring pendulum subject to an external force, which enters the appropriate equations additively. It turns out that in lower orders in small parameter, the two solutions coincide for the case where the external force and viscous damping force are equally small, but they differ when the damping is much smaller than the external force.

Suggested Citation

  • Gitterman, M., 2010. "Spring pendulum: Parametric excitation vs an external force," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3101-3108.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:16:p:3101-3108
    DOI: 10.1016/j.physa.2010.03.008
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437110002098
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2010.03.008?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Sun, Ruqi & Zhou, Shengxi & Li, Zhongjie & Cheng, Li, 2024. "Dual electromagnetic mechanisms with internal resonance for ultra-low frequency vibration energy harvesting," Applied Energy, Elsevier, vol. 369(C).
    2. Denys Dutykh & Elena Tobisch, 2020. "Resonance Enhancement by Suitably Chosen Frequency Detuning," Mathematics, MDPI, vol. 8(3), pages 1-12, March.
    3. Wu, Yipeng & Qiu, Jinhao & Zhou, Shengpeng & Ji, Hongli & Chen, Yang & Li, Sen, 2018. "A piezoelectric spring pendulum oscillator used for multi-directional and ultra-low frequency vibration energy harvesting," Applied Energy, Elsevier, vol. 231(C), pages 600-614.

    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:phsmap:v:389:y:2010:i:16:p:3101-3108. 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: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.