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 | [c] TangShan Iron and Steel International Engineering CO., LTD., Tangshan, Hebei, China
Correspondence:
[*]
Corresponding author: Zheng Wu, Key Laboratory of Industrial Computer Control Engineering of Hebei Province, Yanshan University, Qinhuangdao 066004, Hebei, China. Tel.: +86 15232331161; E-mail:[email protected]
Abstract: This paper focuses on sliding bifurcation of an electromechanical coupling drive system drived by AC synchronous motor containing friction under external excitation along with the changes of external excitation frequency. Considering the mixed friction on load side, the electromagnetic coupling torque provided by motor side and the external disturbance torque on load side, the dynamical equation of an electromechanical coupling drive system containing friction under external excitation can be deduced according to Newton's laws. The stability of periodic solutions in the system is analyzed with Floquet theory. The Filippov convex method is used to extend the system and theoretical conditions of the stick-slip motion are given to numerically predict the sliding bifurcation. The influence of external excitation frequency on the dynamic behavior of drive system is observed and the dynamic behavior of system is verified whether it meets the conditions of sliding bifurcation. Numerical simulations are also given to confirm the results.
