Study on the dynamics of maglev vehicle with viscoelastic suspension under the influence of aerodynamic lift and nonlinear electromagnetic force

Mei-qi Wang, Zi-rui Zhang, Wan-qi Sun, Peng-fei Liu, Ru-jiang Hao, Yi-fan Yan and Rui-chen Wang

Chaos, Solitons & Fractals, 2026, vol. 202, issue P1

Abstract: The dynamic characteristics of a two-degree-of-freedom maglev vehicle with viscoelastic suspension under the action of aerodynamic lift and nonlinear electromagnetic force are studied. The approximate analytical solution of the system is obtained by using the harmonic balance method. The influence of fractional differential coefficient, order, linear stiffness and nonlinear stiffness on the dynamic characteristics of the system is studied and analyzed. The singularity theory is applied to study the static bifurcation of the system. The global bifurcation characteristics of the system are calculated by using the cell mapping algorithm. The analytic necessary conditions for the occurrence of chaos in the system are obtained by using Melnikov theory. The influence of various parameters on the chaotic motion of the system is further analyzed. The dynamic characteristics of the system under specific external excitation amplitude and excitation frequency are studied by using time history diagram, phase plane diagram and Poincare section diagram. The research shows that the peak value of the amplitude-frequency response curve of the system is the highest when there is no fractional order term, and the jump phenomenon will occur at the same time. With the increase of the fractional order term coefficient, the jump phenomenon of the frequency response curve disappears, and the amplitude of the resonance peak decreases. The bifurcation topology shows that the system has chaotic phenomena. As the external excitation frequency increases, the stability of the system in a stable state with a small amplitude increases first and then decreases. As the system speed feedback parameter increases, the stability of the system in a stable state with a large amplitude gradually increases.

Keywords: Fractional differentiation; Chaotic boundary; Aerodynamic lift; Magnetic levitation; Bifurcation (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:202:y:2026:i:p1:s0960077925014420

DOI: 10.1016/j.chaos.2025.117429

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