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

Dongping He, Huidong Xu, Tao Wang and Zhihua Wang
Additional contact information
Dongping He: College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, China
Huidong Xu: College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, China
Tao Wang: College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, China
Zhihua Wang: College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, China

Mathematics, 2021, vol. 9, issue 24, 1-12

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.

Keywords: corrugated rolling mill; resonance; quasi-periodic oscillation; Poincaré map; Neimark-Sacker bifurcation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/24/3201/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/24/3201/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:24:p:3201-:d:700131

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().