IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i19p3046-d1488259.html
   My bibliography  Save this article

Stability and Control of Car Dynamics with a Quarter Model via a Novel Simple Harmonic Hump under External Force

Author

Listed:
  • Khalid Alluhydan

    (Department of Mechanical Engineering, College of Engineering, King Saud University, P.O. Box 800, Riyadh 11421, Saudi Arabia)

  • Yasser A. Amer

    (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44759, Egypt)

  • Ashraf Taha EL-Sayed

    (Department of Basic Science, Modern Academy for Engineering and Technology, Elmokattam 11439, Egypt)

  • Mai M. Agwa

    (Department of Basic Science, Zagazig Higher Institute of Engineering and Technology, Zagazig 7134222, Egypt)

Abstract

Effects of the road, such as speed bumps, can significantly affect a car’s stability. This study focuses on how a quarter-car model is affected by a basic harmonic speed hump and how Cubic Negative Velocity Control (CNVC) is used to control the amplitude of disturbances. This study differs from earlier research in considering various control and force kinds that impact the system. The external forces in this context are a component of a non-linear dynamic system. Two-degree-of-freedom (2DOF) differential coupled equations describe the system’s equation. Numerous numerical experiments have been conducted, including proportional derivative (PD), negative derivative feedback (NDF), positive position feedback (PPF), linear negative velocity control (LNVC), and CNVC; the results show that when the hump is represented as a simple harmonic hump, CNVC has the best effect and can regulate vibrations more precisely than the other approaches on this system. Subsequently, the vibration value of the system was numerically analyzed both before and after the control was implemented. Using the frequency response equation and phase plane approaches in conjunction with the Runge–Kutta fourth order method (RK-4) in the context of resonance situation analysis, the stability of the numerical solution has been evaluated.

Suggested Citation

  • Khalid Alluhydan & Yasser A. Amer & Ashraf Taha EL-Sayed & Mai M. Agwa, 2024. "Stability and Control of Car Dynamics with a Quarter Model via a Novel Simple Harmonic Hump under External Force," Mathematics, MDPI, vol. 12(19), pages 1-26, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:19:p:3046-:d:1488259
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/19/3046/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/19/3046/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ali Kandil & Yasser S. Hamed & Mohamed S. Mohamed & Jan Awrejcewicz & Maksymilian Bednarek, 2022. "Third-Order Superharmonic Resonance Analysis and Control in a Nonlinear Dynamical System," Mathematics, MDPI, vol. 10(8), pages 1-17, April.
    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. Humam Al-Baidhani & Marian K. Kazimierczuk, 2024. "Design and Implementation of Digital PID Control for Mass-Damper Rectilinear Systems," Mathematics, MDPI, vol. 12(18), pages 1-19, September.

    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:gam:jmathe:v:12:y:2024:i:19:p:3046-:d:1488259. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.