Affiliations: [a] Key Laboratory of Industrial Computer Control
Engineering of Hebei Province, Yanshan University, Qinhuangdao, Hebei,
China | [b] National Engineering Research Center for Equipment and
Technology of Cold Strip Rolling, Yanshan University, Qinhuangdao, Hebei,
China
Correspondence:
[*]
Corresponding author: Haibin Li, Key Laboratory of Industrial
Computer Control Engineering of Hebei Province, Yanshan University, Qinhuangdao
066004, Hebei, China. Tel.: +86 183 3038 1202; E-mail: hudiezhaoshuang@163.com
Abstract: Considering the torsional vibration in transmission system driven by
AC asynchronous motor, this paper proposes a dynamical model of nonlinear
electromechanical coupling system by using the energy method. The effect of
electromagnetic factors on nonlinear dynamic performance of the
electromechanical coupling system is investigated. Firstly, the static
bifurcation characteristic under the non-autonomous condition is studied based
on the singularity theory of nonlinear system. Secondly, the Hopf bifurcation
point and the direction of bifurcation are determined based on the Hopf
bifurcation theory. Finally, the bifurcation diagram, Poincare map and the
largest Lyapunov exponent are given, which show the influence of
electromagnetic stiffness and electromagnetic damping on the chaotic motions of
the system.
Keywords: Electromechanical coupling, the energy method, bifurcation, chaos
