IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v104y2017icp18-27.html
   My bibliography  Save this article

Dynamics of a pendulum driven by a DC motor and magnetically controlled

Author

Listed:
  • Nana, B.
  • Yamgoué, S.B.
  • Tchitnga, R.
  • Woafo, P.

Abstract

The paper is devoted to theoretical and experimental investigations of an electromechanical system consisting of DC motor, a physical pendulum with the repulsive magnets. The work consists of modeling, simulation and experimental measurements to validate the analytical predictions and the numerical simulation of the earlier introduced mathematical model. The parameters of the model are estimated using the experimental data. The analyzed system shows several types of non-linear effects, including hysteresis, jump phenomena, chaos and periodic dynamics. Good agreement between real and simulated behavior of the system is obtained.

Suggested Citation

  • Nana, B. & Yamgoué, S.B. & Tchitnga, R. & Woafo, P., 2017. "Dynamics of a pendulum driven by a DC motor and magnetically controlled," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 18-27.
    • Handle: RePEc:eee:chsofr:v:104:y:2017:i:c:p:18-27
    DOI: 10.1016/j.chaos.2017.07.027
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077917303181
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2017.07.027?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.

    References listed on IDEAS

    as
    1. de Paula, Aline Souza & Savi, Marcelo Amorim, 2009. "Controlling chaos in a nonlinear pendulum using an extended time-delayed feedback control method," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2981-2988.
    2. Tsapla Fotsa, R. & Woafo, P., 2016. "Chaos in a new bistable rotating electromechanical system," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 48-57.
    3. Chen, Yun & Wu, Xiaofeng & Liu, Zhong, 2009. "Global chaos synchronization of electro-mechanical gyrostat systems via variable substitution control," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1197-1205.
    4. Meng, Guang & Zhang, Wen-Ming & Huang, Hai & Li, Hong-Guang & Chen, Di, 2009. "Micro-rotor dynamics for micro-electro-mechanical systems (MEMS)," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 538-562.
    5. Przybylska, Maria & Szumiński, Wojciech, 2013. "Non-integrability of flail triple pendulum," Chaos, Solitons & Fractals, Elsevier, vol. 53(C), pages 60-74.
    6. Polo, Manuel F. Pérez & Molina, Manuel Pérez & Chica, Javier Gil, 2009. "Chaotic dynamic and control for micro-electro-mechanical systems of massive storage with harmonic base excitation," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1356-1370.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Nana, B. & Yamgoué, S.B. & Woafo, P., 2021. "Dynamics of an autonomous electromechanical pendulum-like system with experimentation," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    2. Nana, B. & Yamgoué, S.B. & Tchitnga, R. & Woafo, P., 2018. "On the modeling of the dynamics of electrical hair clippers," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 14-23.
    3. Qin, Bo & Zhang, Ying, 2024. "Comprehensive analysis of the mechanism of sensitivity to initial conditions and fractal basins of attraction in a novel variable-distance magnetic pendulum," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    4. Han, Ning & Zhang, Hanfang & Lu, Peipei & Liu, Zixuan, 2024. "Resonance response and chaotic analysis for an irrational pendulum system," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

    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. Nana, B. & Yamgoué, S.B. & Tchitnga, R. & Woafo, P., 2018. "On the modeling of the dynamics of electrical hair clippers," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 14-23.
    2. Gois, Sandra R.F.S.M. & Savi, Marcelo A., 2009. "An analysis of heart rhythm dynamics using a three-coupled oscillator model," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2553-2565.
    3. Hunaish, Ahmed Sadeq & Tahir, Fadhil Rahma, 2023. "Bifurcation and chaos from drilling system driven by IFOCIM," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    4. Zheng, Y.G. & Yu, J.L., 2022. "Stabilization of multi-rotation unstable periodic orbits through dynamic extended delayed feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    5. Alneamy, Ayman M., 2024. "Dynamic snap-through motion and chaotic attractor of electrostatic shallow arch micro-beams," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    6. Ferreira, Bianca Borem & de Paula, Aline Souza & Savi, Marcelo Amorim, 2011. "Chaos control applied to heart rhythm dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 44(8), pages 587-599.
    7. Christov, Ognyan & Georgiev, Georgi, 2015. "On the integrability of a system describing the stationary solutions in Bose–Fermi mixtures," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 138-148.
    8. Costa, Dimitri & Pavlovskaia, Ekaterina & Wiercigroch, Marian, 2024. "Feedback control of chaos in impact oscillator with multiple time-delays," Chaos, Solitons & Fractals, Elsevier, vol. 181(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:eee:chsofr:v:104:y:2017:i:c:p:18-27. 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: 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.