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Quasi-Periodic Oscillations of Roll System in Corrugated Rolling Mill in Resonance

Author

Listed:
  • Dongping He

    (College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, China
    Institute of Advanced Forming and Intelligent Equipment, Taiyuan University of Technology, Taiyuan 030024, China)

  • Huidong Xu

    (College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, China
    Institute of Advanced Forming and Intelligent Equipment, Taiyuan University of Technology, Taiyuan 030024, China)

  • Tao Wang

    (College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, China
    Institute of Advanced Forming and Intelligent Equipment, Taiyuan University of Technology, Taiyuan 030024, China)

  • Zhihua Wang

    (College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, China
    Institute of Advanced Forming and Intelligent Equipment, Taiyuan University of Technology, Taiyuan 030024, China)

Abstract

This paper investigates quasi-periodic oscillations of roll system in corrugated rolling mill in resonance. The two-degree of freedom vertical nonlinear mathematical model of roller system is established by considering the nonlinear damping and nonlinear stiffness within corrugated interface of corrugated rolling mill. In order to investigate the quasi-periodic oscillations at the resonance points, the Poincaré map is established by solving the power series solution of dynamic equations. Based on the Poincaré map, the existence and stability of quasi-periodic oscillations from the Neimark-Sacker bifurcation in the case of resonance are analyzed. The numerical simulation further verifies the correctness of the theoretical analysis.

Suggested Citation

  • Dongping He & Huidong Xu & Tao Wang & Zhihua Wang, 2021. "Quasi-Periodic Oscillations of Roll System in Corrugated Rolling Mill in Resonance," Mathematics, MDPI, vol. 9(24), pages 1-12, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3201-:d:700131
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