We investigate the kinematics and dynamics of a high-speed four-axle railway passenger car, which has 17 degrees of freedom, considering the lateral motion, roll and yaw angles of the car body and the bogie frame, and the lateral motion and yaw angle of the four wheelsets. The creep forces and the flange forces between the oscillating wheels and the rails are main nonlinearities and can be estimated by the Vermeulen–Johnson creep force laws and a piecewise linear function, respectively. The dynamical equations for the motion of the vehicle running with constant speed along an ideal, rigid, straight, and perfect track are formulated, and the lateral bifurcation behavior of the vehicle system is investigated numerically. The results indicate that both stable and unstable orbits are obtained, and the linear and nonlinear critical speeds are determined as well. Several kinds of dynamical behaviors, such as stationary equilibrium point, symmetric or asymmetric periodic oscillations, and symmetric or asymmetric chaotic motions, are found and described in great detail within the investigated speed range.
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e-mail: yinghui.li@home.swjtu.edu.cn
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November 2010
Research Papers
Lateral Bifurcation Behavior of a Four-Axle Railway Passenger Car
Xuejun Gao,
Xuejun Gao
School of Mechanics and Engineering, and State Key Laboratory of Traction Power,
Southwest Jiaotong University
, Chengdu 610031, P.R.C.
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Yinghui Li,
Yinghui Li
School of Mechanics and Engineering,
e-mail: yinghui.li@home.swjtu.edu.cn
Southwest Jiaotong University
, Chengdu 610031, P.R.C.
Search for other works by this author on:
Qing Gao
Qing Gao
School of Mechanics and Engineering,
Southwest Jiaotong University
, Chengdu 610031, P.R.C.
Search for other works by this author on:
Xuejun Gao
School of Mechanics and Engineering, and State Key Laboratory of Traction Power,
Southwest Jiaotong University
, Chengdu 610031, P.R.C.
Yinghui Li
School of Mechanics and Engineering,
Southwest Jiaotong University
, Chengdu 610031, P.R.C.e-mail: yinghui.li@home.swjtu.edu.cn
Qing Gao
School of Mechanics and Engineering,
Southwest Jiaotong University
, Chengdu 610031, P.R.C.J. Appl. Mech. Nov 2010, 77(6): 061001 (8 pages)
Published Online: August 16, 2010
Article history
Received:
January 4, 2009
Revised:
March 23, 2010
Posted:
April 2, 2010
Published:
August 16, 2010
Online:
August 16, 2010
Citation
Gao, X., Li, Y., and Gao, Q. (August 16, 2010). "Lateral Bifurcation Behavior of a Four-Axle Railway Passenger Car." ASME. J. Appl. Mech. November 2010; 77(6): 061001. https://doi.org/10.1115/1.4001544
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