Abstract
The urban tram introduced recently has a low-floor structure for the convenience of passengers getting on and off. To adjust the low-floor level and improve performance on curves, most low-floor trams have IRWs (independently rotating wheels) with no central axle between the two wheels. Eliminating the central axle, however, creates several inherent problems, such as insufficient guiding force and excessive wear. To analyze these problems, a new analytical model is described in this paper to describe the dynamic characteristics of IRWs more precisely. This analytical model is developed to consider the effects of longitudinal creep in particular, which have been ignored in conventional analytical models of IRWs. In addition, a running stability analysis based on the newly developed analytical model is conducted to compare the critical speeds of IRW-axle vehicles and rigid-axle vehicles. The dynamic characteristics of an initial disturbance are compared to verify that the analytical model is effective in expressing the dynamic characteristics of IRWs.
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Abbreviations
- mw :
-
wheelset mass, mt: Bogie frame mass
- mc :
-
car body mass
- Iwx :
-
roll moment of inertia of the wheelset
- Iwy :
-
spin moment of inertia of the wheelset
- Iwz :
-
yaw moment of inertia of the wheelset
- Iw1 :
-
roll moment of inertia of the wheel
- Itx :
-
roll moment of inertia of the bogie frame
- Itz :
-
yaw moment of inertia of the bogie frame
- Icz :
-
yaw moment of inertia of the car body
- r0 :
-
Wheel radius, a: Half of the truck gauge
- b1 :
-
half of the primary longitudinal spring arm
- b2 :
-
half of the secondary longitudinal spring arm
- b3 :
-
half of the secondary vertical damping arm
- L1 :
-
half of the primary lateral spring arm
- L2 :
-
half of the primary lateral damping arm
- LC :
-
half of the distance between bogie center
- λ :
-
wheel conicity
- Kpx :
-
longitudinal stiffness of the 1st suspension
- Kpy :
-
lateral stiffness of the 1st suspension
- Kpz :
-
vertical stiffness of the 1st suspension
- Cpx :
-
longitudinal damping of the 1st suspension
- Cpy :
-
lateral damping of the 1st suspension
- Cpz :
-
vertical damping of the 1st suspension
- Csx :
-
longitudinal damping of the 2nd suspension
- Csy :
-
lateral damping of the 2nd suspension
- Ksx :
-
longitudinal stiffness of the 2nd suspension
- Ksy :
-
lateral stiffness of the 2nd suspension
- f11 :
-
lateral creep force coefficient
- f12 :
-
lateral/spin creep force coefficient
- f22 :
-
spin creep force coefficient
- f33 :
-
longitudinal creep force coefficient
- WA :
-
axle load
- FLx, FLy, FRx and FRy :
-
Kalker’s creep force
- MLx, MRx, MLy and MRy :
-
Kalker’s creep moment
- Ft :
-
Flange contact force, Kr: Lateral rail stiffness
- μ:
-
Friction coefficient, δ: Flange clearance
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Cho, Y., Kwak, J. Development of a new analytical model for a railway vehicle equipped with independently rotating wheels. Int.J Automot. Technol. 13, 1047–1056 (2012). https://doi.org/10.1007/s12239-012-0107-3
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DOI: https://doi.org/10.1007/s12239-012-0107-3