Theory of Frequency Captured of Eccentric Rotor by Vibration Environment with Same Direction
Aiming at the frequency synchronization phenomena of oscillating or rotating bodies, this paper proposes a novel solution to address the self-synchronization problem of vibration systems. An integral mean method with small parameters and periodic coefficient (IMM-SPPC) is proposed, which converts th...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2021/8892919 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564883342753792 |
|---|---|
| author | Su Ming Li Rong Xie Zhiping Zheng Jiming |
| author_facet | Su Ming Li Rong Xie Zhiping Zheng Jiming |
| author_sort | Su Ming |
| collection | DOAJ |
| description | Aiming at the frequency synchronization phenomena of oscillating or rotating bodies, this paper proposes a novel solution to address the self-synchronization problem of vibration systems. An integral mean method with small parameters and periodic coefficient (IMM-SPPC) is proposed, which converts the relative motion of the electrically driven eccentric rotor and the vibration environment into a second-order periodic coefficient differential equation. Through the calculation of the equilibrium point of the second-order periodic coefficient differential equation and the study of its stability, the synchronization criterion and the stability criterion of the eccentric rotor and the vibration environment are deduced. The simulation results show the validity of the deduced synchronization criterion and stability criterion. The proposed IMM-SPPC provides a new way for studying vibration synchronization. |
| format | Article |
| id | doaj-art-4ac59afb71dd438a93af24bfc1680b07 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-4ac59afb71dd438a93af24bfc1680b072025-02-03T01:09:55ZengWileyShock and Vibration1070-96221875-92032021-01-01202110.1155/2021/88929198892919Theory of Frequency Captured of Eccentric Rotor by Vibration Environment with Same DirectionSu Ming0Li Rong1Xie Zhiping2Zheng Jiming3School of Mechanical & Electrical Engineering, Guizhou Normal University, Guiyang 550025, ChinaSchool of Mechanical & Electrical Engineering, Guizhou Normal University, Guiyang 550025, ChinaSchool of Mechanical & Electrical Engineering, Guizhou Normal University, Guiyang 550025, ChinaSchool of Mechanical & Electrical Engineering, Guizhou Normal University, Guiyang 550025, ChinaAiming at the frequency synchronization phenomena of oscillating or rotating bodies, this paper proposes a novel solution to address the self-synchronization problem of vibration systems. An integral mean method with small parameters and periodic coefficient (IMM-SPPC) is proposed, which converts the relative motion of the electrically driven eccentric rotor and the vibration environment into a second-order periodic coefficient differential equation. Through the calculation of the equilibrium point of the second-order periodic coefficient differential equation and the study of its stability, the synchronization criterion and the stability criterion of the eccentric rotor and the vibration environment are deduced. The simulation results show the validity of the deduced synchronization criterion and stability criterion. The proposed IMM-SPPC provides a new way for studying vibration synchronization.http://dx.doi.org/10.1155/2021/8892919 |
| spellingShingle | Su Ming Li Rong Xie Zhiping Zheng Jiming Theory of Frequency Captured of Eccentric Rotor by Vibration Environment with Same Direction Shock and Vibration |
| title | Theory of Frequency Captured of Eccentric Rotor by Vibration Environment with Same Direction |
| title_full | Theory of Frequency Captured of Eccentric Rotor by Vibration Environment with Same Direction |
| title_fullStr | Theory of Frequency Captured of Eccentric Rotor by Vibration Environment with Same Direction |
| title_full_unstemmed | Theory of Frequency Captured of Eccentric Rotor by Vibration Environment with Same Direction |
| title_short | Theory of Frequency Captured of Eccentric Rotor by Vibration Environment with Same Direction |
| title_sort | theory of frequency captured of eccentric rotor by vibration environment with same direction |
| url | http://dx.doi.org/10.1155/2021/8892919 |
| work_keys_str_mv | AT suming theoryoffrequencycapturedofeccentricrotorbyvibrationenvironmentwithsamedirection AT lirong theoryoffrequencycapturedofeccentricrotorbyvibrationenvironmentwithsamedirection AT xiezhiping theoryoffrequencycapturedofeccentricrotorbyvibrationenvironmentwithsamedirection AT zhengjiming theoryoffrequencycapturedofeccentricrotorbyvibrationenvironmentwithsamedirection |