軌道不整上を転走する鉄道車輪軸のカオス状振動

概要

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This paper deals with chaotic behavior of a single wheelset rolling on a rail. The simulation by means of a numerical integration method is applied for the analysis. The wheelset model is supported by an imaginary truck elastically and its wheel has cylindrical tread. When the wheelset runs on the rail, lateral track irregularities of sinusoidal shape excite it in the lateral and yawing directions. Nonlinear forces of the wheel flange-rail contact and the wheel-rail creep are involved in this simulation. The effect of the rolling speed on the running vibration is examined mainly. As the result, the simulated running vibration of the wheelset shows chaotic behavior with the increase of the running speed in the condition that the amplitude of the track irregularity is larger than the clearance between the wheel flange and rail, where the wheel flange collides hard against the side of the rail. The chaotic features are confirmed with bifurcation diagram, maximal Lyapunov exponent, correlation dimension, power spectrum and Poincare map, and some of them are compared with those of the self-excited vibrations due to the conical wheelset. It is shown that the occurrence of the chaotic vibration relates to the period-doubling bifurcation.
日本シミュレーション学会の論文
1995-03-15