Study on Beat Vibration of a High Temperature Superconducting EDS Maglev Vehicle at Low Speed
Abstract
:1. Introduction
2. Governing Equations
2.1. Definition of Two Coordinate Systems
2.2. Dynamic Equations of the Vehicle
2.3. Levitation Force Based on Dynamic Circuitry Theory
3. Theory Vertical Equilibrium Point
4. Multi-Body Dynamic Model of the EDS Vehicle
- (1)
- Decoupling of Levitation forces
- (2)
- Model elements in multi-body dynamic model
- (3)
- Simulation conditions
- (4)
- Solver setting
5. Results and Discussion
5.1. Simulation Results
5.2. Vertical Displacement and Pitch Angle Performance under Different Conditions
- (1)
- The mean value of the vertical displacement , which indicates that the vertical balance point is defined as:
- (2)
- The amplitude of the vertical displacement is defined as:
- (3)
- The mean value of the pitch angle of the vehicle , which indicates that the mean pitch angle is defined as:
- (4)
- The amplitude of the pitch angle of the vehicle is defined as
- (1)
- Influence of initial vertical displacement
- (2)
- Influence of velocity of vehicle
- (3)
- Influence of MMF of SCM
6. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
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Mass m/kg | Moment of Inertia | Moment of Inertia | Moment of Inertia |
---|---|---|---|
2935 | 2536 | 4581 | 6353 |
Scheme | /m | /m | /m |
---|---|---|---|
1st left SCM | 1.35 | −1.033 | 0 |
2nd left SCM | 0.81 | −1.033 | 0 |
3rd left SCM | −0.81. | −1.033 | 0 |
4th left SCM | 1.35 | −1.033 | 0 |
1st right SCM | 1.35 | 1.033 | 0 |
2nd right SCM | 0.81 | 1.033 | 0 |
3rd right SCM | −0.81 | 1.033 | 0 |
4th right SCM | −1.35 | 1.033 | 0 |
Factor | Value | Description |
---|---|---|
Initial vertical displacement, level number is 21. | ||
Velocity of vehicle, level number is 3. | ||
MMF of SCM onboard, level number is 3. |
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Yu, Q.-S.; Wang, M.; Yao, G.-F.; Zhang, S.-X.; Yang, J.; Shao, N. Study on Beat Vibration of a High Temperature Superconducting EDS Maglev Vehicle at Low Speed. Appl. Sci. 2023, 13, 3131. https://doi.org/10.3390/app13053131
Yu Q-S, Wang M, Yao G-F, Zhang S-X, Yang J, Shao N. Study on Beat Vibration of a High Temperature Superconducting EDS Maglev Vehicle at Low Speed. Applied Sciences. 2023; 13(5):3131. https://doi.org/10.3390/app13053131
Chicago/Turabian StyleYu, Qing-Song, Min Wang, Guo-Feng Yao, Shi-Xuan Zhang, Jing Yang, and Nan Shao. 2023. "Study on Beat Vibration of a High Temperature Superconducting EDS Maglev Vehicle at Low Speed" Applied Sciences 13, no. 5: 3131. https://doi.org/10.3390/app13053131
APA StyleYu, Q.-S., Wang, M., Yao, G.-F., Zhang, S.-X., Yang, J., & Shao, N. (2023). Study on Beat Vibration of a High Temperature Superconducting EDS Maglev Vehicle at Low Speed. Applied Sciences, 13(5), 3131. https://doi.org/10.3390/app13053131