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Vibration control of disturbance gap for maglev vehicle considering stiffness change under unsteady aerodynamic forces

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Abstract

The unsteady aerodynamic force on a maglev vehicle increases sharply with the increase in speed of the maglev vehicle, which can increase the difficulty of electromagnetic suspension stability control. A single-degree-of-freedom model of the maglev vehicle is studied considering a periodic unsteady aerodynamic disturbance and the variation of carriage mass. The nonlinear dynamic differential equation of the maglev vehicle was derived with proportional and differential current controllers. It is found that the vibration proportional control gains can change the stiffness of the maglev control system, and three kinds of stiffness, such as positive, negative, and zero stiffness, are obtained for the maglev control systems. First, the dynamic control equation of positive stiffness of the maglev vehicle is analyzed by the multiple-scale method, and the amplitude–frequency response curve of the maglev vehicle is obtained. The vibration characteristics and stability of the maglev vehicle are analyzed. The displacement, speed control parameters, and equivalent mass of a maglev vehicle are the important parameters that affect the amplitude and stability of the vibration system. Second, the dynamic control equation of the negative stiffness system is studied for the maglev vehicle, and a bifurcation control method is obtained to change the system stiffness. The influence of speed control gain is studied numerically on the periodic and chaotic solutions, which the bifurcation parameter interval is found for the control gains.

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Raw data were generated at the computing software of large-scale facility. Derived data supporting the findings of this study are available from the corresponding author upon request.

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Acknowledgements

This work was financially supported by the Natural Science Foundation of Shandong (ZR2020ME122).

Funding

Natural Science Foundation of Shandong, ZR2020ME122, Canchang Liu.

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Authors and Affiliations

  1. School of Transportation and Vehicle Engineering, Shandong University of Technology, Zibo, 255000, China

    Canchang Liu, Hongjian Su, Can Wang & Liang Sun

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  1. Canchang Liu
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  2. Hongjian Su
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Correspondence to Canchang Liu.

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Liu, C., Su, H., Wang, C. et al. Vibration control of disturbance gap for maglev vehicle considering stiffness change under unsteady aerodynamic forces. Nonlinear Dyn 111, 4267–4282 (2023). https://doi.org/10.1007/s11071-022-08054-6

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  • DOI: https://doi.org/10.1007/s11071-022-08054-6

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