Nonlinear Vibration Characteristics and Bifurcations of a Rotor System Subjected to Brush Seal Forces
In the paper, nonlinear vibration characteristics of a rotor system are investigated. Such a nonlinear rotor system is subjected to brush seal forces, which are obtained by integrating the bristle force along the entire ring. The nonlinear brush seal rotor system is constructed by merging a flexible...
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MDPI AG
2023-10-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/13/20/11539 |
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| author | Yingyong Zou Mukai Wang Duhui Lu Yongde Zhang Zili Xu Yeyin Xu |
| author_facet | Yingyong Zou Mukai Wang Duhui Lu Yongde Zhang Zili Xu Yeyin Xu |
| author_sort | Yingyong Zou |
| collection | DOAJ |
| description | In the paper, nonlinear vibration characteristics of a rotor system are investigated. Such a nonlinear rotor system is subjected to brush seal forces, which are obtained by integrating the bristle force along the entire ring. The nonlinear brush seal rotor system is constructed by merging a flexible rotor with nonlinear seal forces. The research is aimed at studying the nonlinear vibration characteristics and bifurcations of the motions under a variety of eccentricity circumstances. Different kinds of bifurcations are successfully obtained by mathematical discretization and mapping manipulation. Such a discrete mapping method successfully predicts the stable and unstable motions accurately. The period-doubling bifurcations and saddle node bifurcations of the rotor system are obtained. The sole unstable solutions are obtained, which are special, and a normal numerical integration method cannot solve this problem, which provides advantages in rotor design and motion control. According to the results, nonlinear resonances are found between the stable and unstable motions. The greater the eccentricity of the rotor, the greater the number of bifurcation points that occur during the rotor’s nonlinear motions, as well as the larger the ranges of speeds where the motions are unstable. Saddle node bifurcations generate unstable nonlinear motions and non-smooth motions, which may bring damage to the mechanical rotors. The period-doubling bifurcations produce the route from period-1 to period-2 motions in the nonlinear rotor system. The research provides a new perspective to study the bifurcations and stability of the nonlinear rotor systems. |
| first_indexed | 2024-03-10T21:27:19Z |
| format | Article |
| id | doaj.art-481adff7834a4435a122c2521d029bbc |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T21:27:19Z |
| publishDate | 2023-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-481adff7834a4435a122c2521d029bbc2023-11-19T15:33:35ZengMDPI AGApplied Sciences2076-34172023-10-0113201153910.3390/app132011539Nonlinear Vibration Characteristics and Bifurcations of a Rotor System Subjected to Brush Seal ForcesYingyong Zou0Mukai Wang1Duhui Lu2Yongde Zhang3Zili Xu4Yeyin Xu5School of Mechanical and Power Engineering, Harbin University of Science and Technology, Harbin 150080, ChinaKey Laboratory of Special Equipment Safety and Energy-Saving for State Market Regulation, China Special Equipment Inspection & Research Institute, Beijing 100029, ChinaKey Laboratory of Special Equipment Safety and Energy-Saving for State Market Regulation, China Special Equipment Inspection & Research Institute, Beijing 100029, ChinaSchool of Mechanical and Power Engineering, Harbin University of Science and Technology, Harbin 150080, ChinaSchool of Aerospace Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaSchool of Aerospace Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaIn the paper, nonlinear vibration characteristics of a rotor system are investigated. Such a nonlinear rotor system is subjected to brush seal forces, which are obtained by integrating the bristle force along the entire ring. The nonlinear brush seal rotor system is constructed by merging a flexible rotor with nonlinear seal forces. The research is aimed at studying the nonlinear vibration characteristics and bifurcations of the motions under a variety of eccentricity circumstances. Different kinds of bifurcations are successfully obtained by mathematical discretization and mapping manipulation. Such a discrete mapping method successfully predicts the stable and unstable motions accurately. The period-doubling bifurcations and saddle node bifurcations of the rotor system are obtained. The sole unstable solutions are obtained, which are special, and a normal numerical integration method cannot solve this problem, which provides advantages in rotor design and motion control. According to the results, nonlinear resonances are found between the stable and unstable motions. The greater the eccentricity of the rotor, the greater the number of bifurcation points that occur during the rotor’s nonlinear motions, as well as the larger the ranges of speeds where the motions are unstable. Saddle node bifurcations generate unstable nonlinear motions and non-smooth motions, which may bring damage to the mechanical rotors. The period-doubling bifurcations produce the route from period-1 to period-2 motions in the nonlinear rotor system. The research provides a new perspective to study the bifurcations and stability of the nonlinear rotor systems.https://www.mdpi.com/2076-3417/13/20/11539bifurcationsnonlinear motionssemi-analytical methodnonlinear rotor |
| spellingShingle | Yingyong Zou Mukai Wang Duhui Lu Yongde Zhang Zili Xu Yeyin Xu Nonlinear Vibration Characteristics and Bifurcations of a Rotor System Subjected to Brush Seal Forces Applied Sciences bifurcations nonlinear motions semi-analytical method nonlinear rotor |
| title | Nonlinear Vibration Characteristics and Bifurcations of a Rotor System Subjected to Brush Seal Forces |
| title_full | Nonlinear Vibration Characteristics and Bifurcations of a Rotor System Subjected to Brush Seal Forces |
| title_fullStr | Nonlinear Vibration Characteristics and Bifurcations of a Rotor System Subjected to Brush Seal Forces |
| title_full_unstemmed | Nonlinear Vibration Characteristics and Bifurcations of a Rotor System Subjected to Brush Seal Forces |
| title_short | Nonlinear Vibration Characteristics and Bifurcations of a Rotor System Subjected to Brush Seal Forces |
| title_sort | nonlinear vibration characteristics and bifurcations of a rotor system subjected to brush seal forces |
| topic | bifurcations nonlinear motions semi-analytical method nonlinear rotor |
| url | https://www.mdpi.com/2076-3417/13/20/11539 |
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