Synchronization and Stability of a Three Co-Rotating Rotor System Coupled with Springs in a Non-Resonance System

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DU, Mingjun ;HOU, Yongjun ;TANG, Tong ;TANG, Lian ;WANG, Jialong ;GAO, Hongbo .
Synchronization and Stability of a Three Co-Rotating Rotor System Coupled with Springs in a Non-Resonance System. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 67, n.11, p. 580-598, november 2021. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/synchronization-and-stability-of-three-co-rotating-rotors-system-coupled-with-springs-in-a-non-resonance-system/>. Date accessed: 29 nov. 2021. 
doi:http://dx.doi.org/10.5545/sv-jme.2021.7259.
Du, M., Hou, Y., Tang, T., Tang, L., Wang, J., & Gao, H.
(2021).
Synchronization and Stability of a Three Co-Rotating Rotor System Coupled with Springs in a Non-Resonance System.
Strojniški vestnik - Journal of Mechanical Engineering, 67(11), 580-598.
doi:http://dx.doi.org/10.5545/sv-jme.2021.7259
@article{sv-jmesv-jme.2021.7259,
	author = {Mingjun  Du and Yongjun  Hou and Tong  Tang and Lian  Tang and Jialong  Wang and Hongbo  Gao},
	title = {Synchronization and Stability of a Three Co-Rotating Rotor System Coupled with Springs in a Non-Resonance System},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {67},
	number = {11},
	year = {2021},
	keywords = {synchronization, dynamic characteristic, synchronous conditions, stability criterion, springs},
	abstract = {With the rapid development of horizontal drilling technology, the drilling fluid shale shaker (DFSS) features high capacity and high efficiency. Hence, a vibrating mechanism of a three co-rotating rotor system coupled with springs is proposed for designing large-sized and heavy-duty vibrating screens in petroleum drilling engineering. To master synchronization of the vibrating system, the dynamic equations of three co-rotating rotors coupled with springs are first developed based on Lagrange’s equations. Second, synchronous conditions of the system are derived based on the average method, and its stability criterion is obtained by adopting Hamilton’s principle. Furthermore, the influences of various factors, including positional parameters of three motors, stiffness coefficient of the springs and frequency ratio on synchronization behaviour, are numerically analysed in the steady state. Additionally, the Runge–Kutta algorithm with adaptive control is employed to build an electromagnetic coupling model, and the relationships between the synchronization state of the system and its mechanical-electrical coupling characteristics are investigated. Finally, an experimental prototype is designed to validate the theory and numerical analysis. The research result shows that the in-phase synchronization of three co-rotating rotors coupled with springs is easy to implement with the selection of a sufficiently large stiffness.},
	issn = {0039-2480},	pages = {580-598},	doi = {10.5545/sv-jme.2021.7259},
	url = {https://www.sv-jme.eu/article/synchronization-and-stability-of-three-co-rotating-rotors-system-coupled-with-springs-in-a-non-resonance-system/}
}
Du, M.,Hou, Y.,Tang, T.,Tang, L.,Wang, J.,Gao, H.
2021 November 67. Synchronization and Stability of a Three Co-Rotating Rotor System Coupled with Springs in a Non-Resonance System. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 67:11
%A Du, Mingjun 
%A Hou, Yongjun 
%A Tang, Tong 
%A Tang, Lian 
%A Wang, Jialong 
%A Gao, Hongbo 
%D 2021
%T Synchronization and Stability of a Three Co-Rotating Rotor System Coupled with Springs in a Non-Resonance System
%B 2021
%9 synchronization, dynamic characteristic, synchronous conditions, stability criterion, springs
%! Synchronization and Stability of a Three Co-Rotating Rotor System Coupled with Springs in a Non-Resonance System
%K synchronization, dynamic characteristic, synchronous conditions, stability criterion, springs
%X With the rapid development of horizontal drilling technology, the drilling fluid shale shaker (DFSS) features high capacity and high efficiency. Hence, a vibrating mechanism of a three co-rotating rotor system coupled with springs is proposed for designing large-sized and heavy-duty vibrating screens in petroleum drilling engineering. To master synchronization of the vibrating system, the dynamic equations of three co-rotating rotors coupled with springs are first developed based on Lagrange’s equations. Second, synchronous conditions of the system are derived based on the average method, and its stability criterion is obtained by adopting Hamilton’s principle. Furthermore, the influences of various factors, including positional parameters of three motors, stiffness coefficient of the springs and frequency ratio on synchronization behaviour, are numerically analysed in the steady state. Additionally, the Runge–Kutta algorithm with adaptive control is employed to build an electromagnetic coupling model, and the relationships between the synchronization state of the system and its mechanical-electrical coupling characteristics are investigated. Finally, an experimental prototype is designed to validate the theory and numerical analysis. The research result shows that the in-phase synchronization of three co-rotating rotors coupled with springs is easy to implement with the selection of a sufficiently large stiffness.
%U https://www.sv-jme.eu/article/synchronization-and-stability-of-three-co-rotating-rotors-system-coupled-with-springs-in-a-non-resonance-system/
%0 Journal Article
%R 10.5545/sv-jme.2021.7259
%& 580
%P 19
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 67
%N 11
%@ 0039-2480
%8 2021-11-25
%7 2021-11-25
Du, Mingjun, Yongjun  Hou, Tong  Tang, Lian  Tang, Jialong  Wang, & Hongbo  Gao.
"Synchronization and Stability of a Three Co-Rotating Rotor System Coupled with Springs in a Non-Resonance System." Strojniški vestnik - Journal of Mechanical Engineering [Online], 67.11 (2021): 580-598. Web.  29 Nov. 2021
TY  - JOUR
AU  - Du, Mingjun 
AU  - Hou, Yongjun 
AU  - Tang, Tong 
AU  - Tang, Lian 
AU  - Wang, Jialong 
AU  - Gao, Hongbo 
PY  - 2021
TI  - Synchronization and Stability of a Three Co-Rotating Rotor System Coupled with Springs in a Non-Resonance System
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2021.7259
KW  - synchronization, dynamic characteristic, synchronous conditions, stability criterion, springs
N2  - With the rapid development of horizontal drilling technology, the drilling fluid shale shaker (DFSS) features high capacity and high efficiency. Hence, a vibrating mechanism of a three co-rotating rotor system coupled with springs is proposed for designing large-sized and heavy-duty vibrating screens in petroleum drilling engineering. To master synchronization of the vibrating system, the dynamic equations of three co-rotating rotors coupled with springs are first developed based on Lagrange’s equations. Second, synchronous conditions of the system are derived based on the average method, and its stability criterion is obtained by adopting Hamilton’s principle. Furthermore, the influences of various factors, including positional parameters of three motors, stiffness coefficient of the springs and frequency ratio on synchronization behaviour, are numerically analysed in the steady state. Additionally, the Runge–Kutta algorithm with adaptive control is employed to build an electromagnetic coupling model, and the relationships between the synchronization state of the system and its mechanical-electrical coupling characteristics are investigated. Finally, an experimental prototype is designed to validate the theory and numerical analysis. The research result shows that the in-phase synchronization of three co-rotating rotors coupled with springs is easy to implement with the selection of a sufficiently large stiffness.
UR  - https://www.sv-jme.eu/article/synchronization-and-stability-of-three-co-rotating-rotors-system-coupled-with-springs-in-a-non-resonance-system/
@article{{sv-jme}{sv-jme.2021.7259},
	author = {Du, M., Hou, Y., Tang, T., Tang, L., Wang, J., Gao, H.},
	title = {Synchronization and Stability of a Three Co-Rotating Rotor System Coupled with Springs in a Non-Resonance System},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {67},
	number = {11},
	year = {2021},
	doi = {10.5545/sv-jme.2021.7259},
	url = {https://www.sv-jme.eu/article/synchronization-and-stability-of-three-co-rotating-rotors-system-coupled-with-springs-in-a-non-resonance-system/}
}
TY  - JOUR
AU  - Du, Mingjun 
AU  - Hou, Yongjun 
AU  - Tang, Tong 
AU  - Tang, Lian 
AU  - Wang, Jialong 
AU  - Gao, Hongbo 
PY  - 2021/11/25
TI  - Synchronization and Stability of a Three Co-Rotating Rotor System Coupled with Springs in a Non-Resonance System
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 67, No 11 (2021): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2021.7259
KW  - synchronization, dynamic characteristic, synchronous conditions, stability criterion, springs
N2  - With the rapid development of horizontal drilling technology, the drilling fluid shale shaker (DFSS) features high capacity and high efficiency. Hence, a vibrating mechanism of a three co-rotating rotor system coupled with springs is proposed for designing large-sized and heavy-duty vibrating screens in petroleum drilling engineering. To master synchronization of the vibrating system, the dynamic equations of three co-rotating rotors coupled with springs are first developed based on Lagrange’s equations. Second, synchronous conditions of the system are derived based on the average method, and its stability criterion is obtained by adopting Hamilton’s principle. Furthermore, the influences of various factors, including positional parameters of three motors, stiffness coefficient of the springs and frequency ratio on synchronization behaviour, are numerically analysed in the steady state. Additionally, the Runge–Kutta algorithm with adaptive control is employed to build an electromagnetic coupling model, and the relationships between the synchronization state of the system and its mechanical-electrical coupling characteristics are investigated. Finally, an experimental prototype is designed to validate the theory and numerical analysis. The research result shows that the in-phase synchronization of three co-rotating rotors coupled with springs is easy to implement with the selection of a sufficiently large stiffness.
UR  - https://www.sv-jme.eu/article/synchronization-and-stability-of-three-co-rotating-rotors-system-coupled-with-springs-in-a-non-resonance-system/
Du, Mingjun, Hou, Yongjun, Tang, Tong, Tang, Lian, Wang, Jialong, AND Gao, Hongbo.
"Synchronization and Stability of a Three Co-Rotating Rotor System Coupled with Springs in a Non-Resonance System" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 67 Number 11 (25 November 2021)

Authors

Affiliations

  • Southwest Petroleum University, School of Mechatronics Engineering, China 1
  • AECC Chengdu Engine Company Limited, China 2
  • Sichuan Aviation Industry Chuanxi Machinery Company Limited, China 3

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 67(2021)11, 580-598

https://doi.org/10.5545/sv-jme.2021.7259

With the rapid development of horizontal drilling technology, the drilling fluid shale shaker (DFSS) features high capacity and high efficiency. Hence, a vibrating mechanism of a three co-rotating rotor system coupled with springs is proposed for designing large-sized and heavy-duty vibrating screens in petroleum drilling engineering. To master synchronization of the vibrating system, the dynamic equations of three co-rotating rotors coupled with springs are first developed based on Lagrange’s equations. Second, synchronous conditions of the system are derived based on the average method, and its stability criterion is obtained by adopting Hamilton’s principle. Furthermore, the influences of various factors, including positional parameters of three motors, stiffness coefficient of the springs and frequency ratio on synchronization behaviour, are numerically analysed in the steady state. Additionally, the Runge–Kutta algorithm with adaptive control is employed to build an electromagnetic coupling model, and the relationships between the synchronization state of the system and its mechanical-electrical coupling characteristics are investigated. Finally, an experimental prototype is designed to validate the theory and numerical analysis. The research result shows that the in-phase synchronization of three co-rotating rotors coupled with springs is easy to implement with the selection of a sufficiently large stiffness.

synchronization, dynamic characteristic, synchronous conditions, stability criterion, springs