Coupling synchronization principle of two pairs counter-rotating unbalanced rotors in the different resonant conditions
The present work investigates the coupling synchronization principle and stability in a vibrating system with two pairs counter-rotating unbalanced rotors (also called exciters). Based on Lagrange equations, the dimensionless coupling differential equations of motion of the system are deduced. The s...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2021-09-01
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| Series: | Journal of Low Frequency Noise, Vibration and Active Control |
| Online Access: | https://doi.org/10.1177/1461348420937887 |
| _version_ | 1818989508306141184 |
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| author | Liqun Liu Ting Liu Hongliang Yue Xueliang Zhang |
| author_facet | Liqun Liu Ting Liu Hongliang Yue Xueliang Zhang |
| author_sort | Liqun Liu |
| collection | DOAJ |
| description | The present work investigates the coupling synchronization principle and stability in a vibrating system with two pairs counter-rotating unbalanced rotors (also called exciters). Based on Lagrange equations, the dimensionless coupling differential equations of motion of the system are deduced. The synchronization criterion of two pairs exciters stems from the averaging method, it satisfies the fact that the absolute value of dimensionless residual torque difference between arbitrary two driving motors is less than or equal to the maximum of their dimensionless coupling torques. The stability criterion of the synchronous states complies with Routh-Hurwitz principle. The coupling dynamic characteristics of the system are numerically analyzed in detail, including synchronization and stability ability, maximum of the coupling torque and phase relationship, etc. Some simulation results applying the Runge-Kutta algorithm are performed, it is shown that the motion states of the system can be classified into two types: sub-resonant state and super-resonant state. Generally in engineering, the ideal working points should be selected in sub-resonance region, in this case the expended energy can be saved relatively by 1/5–1/3, which is less than that in super-resonance region under the precondition of the same vibration amplitude value. |
| first_indexed | 2024-12-20T19:39:35Z |
| format | Article |
| id | doaj.art-6de86b623c534993b742038bd3920c69 |
| institution | Directory Open Access Journal |
| issn | 1461-3484 2048-4046 |
| language | English |
| last_indexed | 2024-12-20T19:39:35Z |
| publishDate | 2021-09-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Journal of Low Frequency Noise, Vibration and Active Control |
| spelling | doaj.art-6de86b623c534993b742038bd3920c692022-12-21T19:28:33ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462021-09-014010.1177/1461348420937887Coupling synchronization principle of two pairs counter-rotating unbalanced rotors in the different resonant conditionsLiqun LiuTing LiuHongliang YueXueliang ZhangThe present work investigates the coupling synchronization principle and stability in a vibrating system with two pairs counter-rotating unbalanced rotors (also called exciters). Based on Lagrange equations, the dimensionless coupling differential equations of motion of the system are deduced. The synchronization criterion of two pairs exciters stems from the averaging method, it satisfies the fact that the absolute value of dimensionless residual torque difference between arbitrary two driving motors is less than or equal to the maximum of their dimensionless coupling torques. The stability criterion of the synchronous states complies with Routh-Hurwitz principle. The coupling dynamic characteristics of the system are numerically analyzed in detail, including synchronization and stability ability, maximum of the coupling torque and phase relationship, etc. Some simulation results applying the Runge-Kutta algorithm are performed, it is shown that the motion states of the system can be classified into two types: sub-resonant state and super-resonant state. Generally in engineering, the ideal working points should be selected in sub-resonance region, in this case the expended energy can be saved relatively by 1/5–1/3, which is less than that in super-resonance region under the precondition of the same vibration amplitude value.https://doi.org/10.1177/1461348420937887 |
| spellingShingle | Liqun Liu Ting Liu Hongliang Yue Xueliang Zhang Coupling synchronization principle of two pairs counter-rotating unbalanced rotors in the different resonant conditions Journal of Low Frequency Noise, Vibration and Active Control |
| title | Coupling synchronization principle of two pairs counter-rotating unbalanced rotors in the different resonant conditions |
| title_full | Coupling synchronization principle of two pairs counter-rotating unbalanced rotors in the different resonant conditions |
| title_fullStr | Coupling synchronization principle of two pairs counter-rotating unbalanced rotors in the different resonant conditions |
| title_full_unstemmed | Coupling synchronization principle of two pairs counter-rotating unbalanced rotors in the different resonant conditions |
| title_short | Coupling synchronization principle of two pairs counter-rotating unbalanced rotors in the different resonant conditions |
| title_sort | coupling synchronization principle of two pairs counter rotating unbalanced rotors in the different resonant conditions |
| url | https://doi.org/10.1177/1461348420937887 |
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