Friction-Induced Vibration of a Railway Wheelset-Track System and Its Effect on Rail Corrugation
Abstract
1. Introduction
1.1. Background
1.2. Formulation of the Interest Problem
1.3. Literature Survey
1.4. Scope and Contribution of This Study
1.5. Organization of the Paper
2. Slip of a Wheel on a Rail
2.1. Slip of a Wheel on a Rail
2.2. Correlation between Rail Corrugation and Slip of the Wheel on the Rail
3. Squealing Vibration of a Wheelset-Track System
3.1. Model of the Squealing Vibration of a Wheelset-Track System
- (1)
- Step 1: nonlinear static analysis for applying axle-box forces.
- (2)
- Step 2: nonlinear static analysis to impose the transversal sliding speed on the wheelset.
- (3)
- Step 3: normal mode analysis to extract natural frequencies of the undamped system.
- (4)
- Step 4: complex eigenvalue analysis that incorporates the effect of friction coupling.
3.2. Prediction Result of Squealing Vibration of the Wheelset-Track System
3.3. Field Measurement of the Squealing Vibration of the Wheelset-Track System
3.4. Correlation between the Rail Corrugation and the Squealing Vibration of the Wheelset-Track System
4. Simple Validation of the Prediction Model of Rail Corrugation
5. Conclusions
- (1)
- In a tightly curved track, the slip of the wheel of the leading wheelset on the rail always occurs.
- (2)
- When the creep force between the wheel and rail is saturated, the wheelset-track system has a strong occurrence propensity of unstable vibrations.
- (3)
- The unstable vibration of the wheelset-track system is probably a wavelength-fixing mechanism.
- (4)
- The accuracy of the rail corrugation prediction based on the unstable vibrations of wheelset-track systems is found to be 85–90% or higher.
Funding
Conflicts of Interest
Appendix A
References
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Track | |
---|---|
Density of rail (kg/m3) | 7800 |
Young’s modulus of rail (N/m2) | 2.1 × 1011 |
Poisson’s ratio of rail | 0.3 |
Length of rail (m) | 36 |
Type of rail (kg/m) | 60 |
Sleeper spacing (m) | 0.625 |
Rail cant | 1/40 |
Density of railpad (kg/m3) | 1300 |
Young’s modulus of railpad (N/m2) | 8.0 × 107 |
Poisson’s ratio | 0.45 |
Thickness of railpad (m) | 0.012 |
Density of sleeper (kg/m3) | 2480 |
Young’s modulus of sleeper (N/m2) | 1.9 × 1011 |
Poisson’s ratio of sleeper | 0.3 |
Vertical support stiffness from | |
monolithic track-bed (N/m) | 8.9 × 107 |
Vertical support damping from | |
monolithic track-bed (Ns/m) | 8.98 × 104 |
Lateral support stiffness from | |
monolithic track-bed (N/m) | 5.0 × 107 |
Lateral support damping from | |
monolithic track-bed (Ns/m) | 4.0 × 104 |
Vehicle | |
Gauge (mm) | 1435 |
Wheelbase of bogie (mm) | 2300 |
Profile of tread | LM-type worn profile |
Mass of wheelset (kg) | 1365 |
Moment of inertia of wheelset in | |
vertical and lateral axes (kg m2) | 880 |
Moment of inertia of wheelset in | |
rolling axis (kg m2) | 116 |
Mass of bogie (kg) | 2028 |
Moment of inertia of bogie in | |
longitudinal level axes (kg m2) | 983 |
Moment of inertia of bogie in | |
lateral level axes (kg m2) | 582 |
Moment of inertia of bogie in | |
vertical axes (kg m2) | 1506 |
Mass of car body (kg) | 35,030 |
Moment of inertia of car body in | |
longitudinal level axes (kg m2) | 50,370 |
Moment of inertia of car body in | |
the lateral level axes (kg m2) | 1,395,430 |
Moment of inertia of car body in | |
vertical axes (kg m2) | 1,386,060 |
Longitudinal stiffness of | |
primary suspension alone (kN/m) | 4850 |
Lateral stiffness of | |
primary suspension alone (kN/m) | 3430 |
Vertical stiffness of | |
primary suspension alone (kN/m) | 740 |
Vertical damping of | |
primary suspension alone (kNs/m) | 15.626 |
Vertical stiffness of | |
secondary suspension alone (kN/m) | 480 |
Lateral stiffness of | |
secondary suspension alone (kN/m) | 210 |
Vertical damping of | |
secondary suspension alone (kNs/m) | 50 |
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Chen, G. Friction-Induced Vibration of a Railway Wheelset-Track System and Its Effect on Rail Corrugation. Lubricants 2020, 8, 18. https://doi.org/10.3390/lubricants8020018
Chen G. Friction-Induced Vibration of a Railway Wheelset-Track System and Its Effect on Rail Corrugation. Lubricants. 2020; 8(2):18. https://doi.org/10.3390/lubricants8020018
Chicago/Turabian StyleChen, Guangxiong. 2020. "Friction-Induced Vibration of a Railway Wheelset-Track System and Its Effect on Rail Corrugation" Lubricants 8, no. 2: 18. https://doi.org/10.3390/lubricants8020018
APA StyleChen, G. (2020). Friction-Induced Vibration of a Railway Wheelset-Track System and Its Effect on Rail Corrugation. Lubricants, 8(2), 18. https://doi.org/10.3390/lubricants8020018