IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v29y2021i06ns0218348x21501449.html
   My bibliography  Save this article

An Efficient Ancient Chinese Algorithm To Investigate The Dynamics Response Of A Fractal Microgravity Forced Oscillator

Author

Listed:
  • ALEX ELà AS-ZÚÑIGA

    (Mechanical Engineering and Advanced Materials Department, School of Engineering and Science, Tecnologico de Monterrey, Avenue Eugenio Garza, Sada 2501, Monterrey 64849, Mexico)

  • OSCAR MARTÃ NEZ-ROMERO

    (Mechanical Engineering and Advanced Materials Department, School of Engineering and Science, Tecnologico de Monterrey, Avenue Eugenio Garza, Sada 2501, Monterrey 64849, Mexico)

  • DANIEL OLVERA TREJO

    (Mechanical Engineering and Advanced Materials Department, School of Engineering and Science, Tecnologico de Monterrey, Avenue Eugenio Garza, Sada 2501, Monterrey 64849, Mexico)

  • LUIS MANUEL PALACIOS-PINEDA

    (��Tecnológico Nacional de México/Instituto, Tecnológico de Pachuca, Carr. México-Pachuca Km 87.5, Pachuca, Hidalgo, Código Postal 42080, Mexico)

Abstract

In this paper, the ancient Chinese algorithm is applied to derive fractal microgravity forced oscillator’s frequency–amplitude response curves using the two-scale fractal transform derivative. Depending on the fractal parameter values, it is shown that the system restoring forces exhibit hardening or softening behavior. Furthermore, the proposed solution approach is simple, efficient, and accurate for obtaining the approximate steady-state solution of a fractal microgravity nonlinear oscillator with a purely nonlinear power-form restoring force.

Suggested Citation

  • Alex Elã As-Zãšã‘Iga & Oscar Martã Nez-Romero & Daniel Olvera Trejo & Luis Manuel Palacios-Pineda, 2021. "An Efficient Ancient Chinese Algorithm To Investigate The Dynamics Response Of A Fractal Microgravity Forced Oscillator," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(06), pages 1-7, September.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:06:n:s0218348x21501449
    DOI: 10.1142/S0218348X21501449
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X21501449
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X21501449?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. El-Dib, Yusry O. & Elgazery, Nasser S., 2022. "A novel pattern in a class of fractal models with the non-perturbative approach," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

    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:wsi:fracta:v:29:y:2021:i:06:n:s0218348x21501449. 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: Tai Tone Lim (email available below). General contact details of provider: https://www.worldscientific.com/worldscinet/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.