Quasi-Periodic Oscillations of Roll System in Corrugated Rolling Mill in Resonance
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 corr...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/24/3201 |
| _version_ | 1797502673077927936 |
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| author | Dongping He Huidong Xu Tao Wang Zhihua Wang |
| author_facet | Dongping He Huidong Xu Tao Wang Zhihua Wang |
| author_sort | Dongping He |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T03:38:27Z |
| format | Article |
| id | doaj.art-bc644fd9b3354fcd9c3cb0746e36542c |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T03:38:27Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-bc644fd9b3354fcd9c3cb0746e36542c2023-11-23T09:25:38ZengMDPI AGMathematics2227-73902021-12-01924320110.3390/math9243201Quasi-Periodic Oscillations of Roll System in Corrugated Rolling Mill in ResonanceDongping He0Huidong Xu1Tao Wang2Zhihua Wang3College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, ChinaCollege of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, ChinaCollege of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, ChinaCollege of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, ChinaThis 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.https://www.mdpi.com/2227-7390/9/24/3201corrugated rolling millresonancequasi-periodic oscillationPoincaré mapNeimark-Sacker bifurcation |
| spellingShingle | Dongping He Huidong Xu Tao Wang Zhihua Wang Quasi-Periodic Oscillations of Roll System in Corrugated Rolling Mill in Resonance Mathematics corrugated rolling mill resonance quasi-periodic oscillation Poincaré map Neimark-Sacker bifurcation |
| title | Quasi-Periodic Oscillations of Roll System in Corrugated Rolling Mill in Resonance |
| title_full | Quasi-Periodic Oscillations of Roll System in Corrugated Rolling Mill in Resonance |
| title_fullStr | Quasi-Periodic Oscillations of Roll System in Corrugated Rolling Mill in Resonance |
| title_full_unstemmed | Quasi-Periodic Oscillations of Roll System in Corrugated Rolling Mill in Resonance |
| title_short | Quasi-Periodic Oscillations of Roll System in Corrugated Rolling Mill in Resonance |
| title_sort | quasi periodic oscillations of roll system in corrugated rolling mill in resonance |
| topic | corrugated rolling mill resonance quasi-periodic oscillation Poincaré map Neimark-Sacker bifurcation |
| url | https://www.mdpi.com/2227-7390/9/24/3201 |
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