A new dynamic model of railway vehicle moving on curved tracks is proposed. In the new model, the motion of the car body is considered and the motion of the truck frame is not restricted by a virtual boundary. Based on the heuristic nonlinear creep model, the nonlinear coupled differential equations of the motion of an eight degrees of freedom car system—considering the lateral displacement and the yaw angle of each wheelset, the truck frame, and the half car body—moving on curved tracks are derived completely. To illustrate the accuracy of the analysis, the limiting cases are examined. It is shown that the influence of the gyroscopic moment of the wheelsets on the critical hunting speed is negligible. In addition, the influences of the suspension parameters, including those losing in the six degrees of freedom system, on the critical hunting speeds evaluated via the linear and the nonlinear creep models are studied and compared.

1.
Suda
,
Y.
, 1994, “
High Speed Stability and Curving Performance of Longitudinally Unsymmetric Trucks With Semi-Active Control
,”
Veh. Syst. Dyn.
0042-3114,
23
, pp.
29
51
.
2.
Narayana
,
S. S.
,
Dukkipati
,
R. V.
, and
Osman
,
M. O. M.
, 1994, “
A Comparative Study on Lateral Stability and Steady State Curving Behaviour of Unconventional Rail Truck Models
,”
Proc. Inst. Mech. Eng., F J. Rail Rapid Transit
0954-4097,
208
, pp.
1
13
.
3.
Dukkipati
,
R. V.
, and
Narayana
,
S. S.
, 2001, “
Lateral Stability and Steady State Curving Performance of Unconventional Rail Trucks
,”
Mech. Mach. Theory
0094-114X,
36
, pp.
577
587
.
4.
Dukkipati
,
R. V.
, and
Narayana
,
S. S.
, 2001, “
Non-Linear Steady-State Curving Analysis of Some Unconventional Rail Trucks
,”
Mech. Mach. Theory
0094-114X,
36
, pp.
507
521
.
5.
Dukkipati
,
R. V.
,
Narayana
,
S. S.
, and
Osman
,
M. O. M.
, 2002, “
Curving Analysis of Modified Designs of Passenger Railway Vehicle Trucks
,”
Mech. Mach. Theory
0094-114X,
25
(
1
), pp.
159
167
.
6.
Bell
,
C. E.
,
Horak
,
D.
, and
Hedrick
,
J. K.
, 1981, “
Stability and Curving Mechanics of Rail Vehicles
,”
ASME J. Dyn. Syst., Meas., Control
0022-0434,
103
, pp.
181
190
.
7.
Bell
,
C. E.
, and
Horak
,
D.
, 1981, “
Forced Steering of Rail Vehicles: Stability and Curving Mechanics
,”
Veh. Syst. Dyn.
0042-3114,
10
, pp.
357
386
.
8.
Ahmed
,
A. K. W.
,
Liu
,
C.
, and
Haque
,
I.
, 1996, “
Computer Simulation of Steady State Curving Performance of High Speed Articulated Train Set
,”
Trans. Can. Soc. Mech. Eng.
0315-8977,
20
, pp.
365
389
.
9.
Wickens
,
A. H.
, 1996, “
Railway Vehicles With Generic Bogies Capable of Perfect Steering
,”
Veh. Syst. Dyn.
0042-3114,
25
, pp.
389
412
.
10.
Suda
,
Y.
,
Fujioka
,
T.
, and
Iguchi
,
M.
, 1986, “
Dynamic Stability and Curving Performance of Railway Vehicles
,”
Bull. JSME
0021-3764,
29
(
256
), pp.
3538
3544
.
11.
Hirotsu
,
T.
,
Iwasaki
,
F.
,
Terada
,
K.
, and
Ariga
,
M.
, 1984, “
Curving Simulation of Four Axle Railway Vehicles With Conventional Two Axle Bogie
,”
Bull. JSME
0021-3764,
27
(
228
), pp.
1272
1279
.
12.
Zboinski
,
K.
, 1998, “
Dynamical Investigation of Railway Vehicles on A Curved Track
,”
Eur. J. Mech. A/Solids
0997-7538,
17
(
6
), pp.
1001
1020
.
13.
Zboinski
,
K.
, 1999, “
Importance of Imaginary Forces and Kinematic Type Non-Linearities for Description of Railway Vehicle Dynamics
,”
Proc. Inst. Mech. Eng., F J. Rail Rapid Transit
0954-4097,
213
(
4
), pp.
199
210
.
14.
Zeng
,
J.
, and
Wu
,
P.
, 2004, “
Stability Analysis of High Speed Railway Vehicles
,”
JSME Int. J., Ser. C
1340-8062,
47
(
2
), pp.
464
470
.
15.
Zboinski
,
K.
, and
Dusza
,
M.
, 2004, “
Analysis and Method of The Analysis of Non-Linear Lateral Stability of Railway Vehicles in Curved Track
,”
Veh. Syst. Dyn.
0042-3114,
41
(supplement), pp.
222
231
.
16.
Lóránt
,
G.
, and
Stépán
,
G.
, 1996, “
The Role of Nonlinearities in the Dynamics of a Single Railway Wheelset
,”
Machine Vibration
,
5
, pp.
18
26
.
17.
Vidyasager
,
M.
, 1978,
Nonlinear Systems Analysis
,
Prentice-Hall, Englewood Cliffs
,
NJ
.
18.
Dukkipati
,
R. V.
, and
Garg
,
V. K.
, 1984,
Dynamics of Railway Vehicle Systems
,
Academic
,
Canada
.
19.
Horak
,
D.
, and
Wormley
,
D. N.
, 1982, “
Nonlinear Stability and Tracking of Rail Passenger Trucks
,”
ASME J. Dyn. Syst., Meas., Control
0022-0434,
104
, pp.
256
263
.
20.
Mehdi
,
A.
, and
Shaopu
,
Y.
, 1998, “
Effect of System Nonlinearities on Locomotive Bogie Hunting Stability
,”
Veh. Syst. Dyn.
0042-3114,
29
, pp.
366
384
.
21.
Ahmed
,
A. K. W.
, and
Sankar
,
S.
, 1987, “
Lateral Stability Behavior of Railway Freight Car System With Elasto-Damper Coupled Wheelset: Part 2-Truck Model
,”
ASME J. Mech., Transm., Autom. Des.
0738-0666,
109
(
4
), pp.
500
507
.
22.
Hirotsu
,
T.
,
Terada
,
K.
,
Hiraishi
,
M.
, and
Yui
,
S.
, 1991, “
Simulation of Hunting of Rail Vehicles (The Case Using a Compound Circular Wheel Profile)
,”
JSME Int. J., Ser. III
0914-8825,
34
(
3
), pp.
396
403
.
You do not currently have access to this content.