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

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  • 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
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    References listed on IDEAS

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    1. Tsapla Fotsa, R. & Woafo, P., 2016. "Chaos in a new bistable rotating electromechanical system," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 48-57.
    2. 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.
    3. 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.
    4. Przybylska, Maria & Szumiński, Wojciech, 2013. "Non-integrability of flail triple pendulum," Chaos, Solitons & Fractals, Elsevier, vol. 53(C), pages 60-74.
    5. 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.
    6. 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.
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    Cited by:

    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. 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).
    3. 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).
    4. 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).
    5. Qin, Bo & Zhang, Ying, 2024. "A novel global perspective: Characterizing the fractal basins of attraction and the level of chaos in a double pendulum," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).

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