Research on Principal Resonance Bifurcation Control of Roller System in Corrugated Rolling Mills

doi:10.3901/JME.2020.07.109

Abstract

Abstract: Based on corrugated rolling technology and structure, the vibration characteristic analysis of the small corrugated roll system is carried out by using the detecting device. Considering the nonlinear damping and nonlinear stiffness within corrugated interface of corrugated rolling mill, the two degree of freedom nonlinear dynamic equation of principal resonance is established, the amplitude-frequency characteristic equations of principal resonance of roller system are carried out by using the multiscale scale method, the static response transition sets of the system and the topological structure of the corresponding the bifurcation are analyzed by the singular theory and universal unfolding theory, the nonlinear parameter controller is designed to change the steady-state response of the corrugated roll system, reduce the corresponding amplitude of the system and eliminate the saddle-node bifurcation at resonance. The correctness and feasibility of the controller design are verified by numerical simulation, which provides some theoretical guidance for restraining vibration of roller system of corrugated rolling mill.

Key words: corrugated rolling mill, principal resonance, multiscale method, amplitude-frequency characteristic, bifurcation control

CLC Number:

TG113

HE Dongping, WANG Tao, XIE Jiaquan, REN Zhongkai, LIU Yuanming, MA Xiaobao. Research on Principal Resonance Bifurcation Control of Roller System in Corrugated Rolling Mills[J]. Journal of Mechanical Engineering, 2020, 56(7): 109-118.

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