Abstract
The typical passing frequencies of corrugation were obtained by analysing the measured corrugation data in small radius curve track with Cologne-egg fasteners. The three-dimensional solid element model of track structure was established with the software ABAQUS, and modal analysis was carried out to determine the relationship between natural frequencies of track structure and passing frequencies of corrugation. By using the material wear model based on friction work theory, the frequency characteristics of corrugation and the development law of wear under different speeds were studied, and the control measures of corrugation were analysed. The new point of this study is to implement the above dynamic analysis from the perspective of vehicle (with flexible wheelsets) track space coupling, which can consider the coupled relationship in three directions of space. The results show that the generation of corrugation is closely related to the mechanical characteristics of track structure. Passing frequencies do not change with speeds, reflecting the frequency-fixing characteristics of corrugation. The analysis of control measures of corrugation shows that the smaller the friction coefficient is, the less likely the rail is to produce corrugation. The existence of rail vibration absorber can eliminate the generation of some short wavelength corrugation and reduce the rail bending vibration, which has a significant effect on the control of corrugation.
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Abbreviations
- UM:
-
Universal mechanism
- L r :
-
The short-wave irregularity spectrum value
- r 0 :
-
The reference value of short-wave irregularity
- r rms :
-
The effective value of rail corrugation amplitude
- f i :
-
Passing frequency corresponding to the ith characteristic wavelength
- N :
-
Normal force
- E:
-
Elastic modulus
- δ :
-
Wheel-rail normal rigid-body penetration
- μ :
-
Poisson’s ratio
- xl (y):
-
The coordinate of the front/rear edge of the contact patch
- v x :
-
Longitudinal creepage
- v y :
-
Transverse creepage
- φ :
-
Spin creepage
- L :
-
Elastic parameter value in the contact patch
- ∆t :
-
Calculation time step
- W :
-
Friction work
- P :
-
Friction power
- F x :
-
Longitudinal creep force
- F y :
-
Transverse creep force
- M z :
-
Creep moment
- ∆m :
-
Total wear amount
- x :
-
Longitudinal position of rail surface
- K :
-
Wear ratio coefficient
- dj (x):
-
Wear depth of the jth wheel at the fixed rail position
- A :
-
Area of contact patch
- ρ :
-
Density of rail material
- D(x):
-
Wear depth of rail surface under single operation
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Acknowledgments
This work is financially supported by the National Natural Science Foundation of China (Project No. 11772230).
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Zhenyu Lei is a Professor in the Institute of Rail Transit, Tongji University. She received her Ph.D. degree in solid mechanics from Southwest Jiaotong University in 2001. Her research interests include engineering mechanics and wheel-rail relationship.
Zhiqiang Wang is a Ph.D. candidate in the Institute of Rail Transit, Tongji University. His research interests include wheel-rail relationship, track structure and rail corrugation.
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Wang, Z., Lei, Z. Rail corrugation characteristics in small radius curve section of Cologne-egg fasteners. J Mech Sci Technol 34, 4499–4511 (2020). https://doi.org/10.1007/s12206-020-1010-x
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DOI: https://doi.org/10.1007/s12206-020-1010-x