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: 24 apr. 2024. 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. 24 Apr. 2024
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)
Strojniški vestnik - Journal of Mechanical Engineering 67(2021)11, 580-598
© The Authors, CC-BY 4.0 Int. Change in copyright policy from 2022, Jan 1st.
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.