Abstract: The Newton-Raphson iteration and QR algorithm are combined to
search the Hopf bifurcation point of the vehicle running on
straight track and on large radius curved tracks. Limit cycles
that are bifurcated from the equilibrium points and the
saddle-node bifurcation point are computed through employing a
variable-step Runge-Kutta method and the Poincare map. Finally,
numerical simulations are carried out for the stability of a
high speed passenger car operating on straight and large radius
curved tracks. The influences of the radius of curvature and the
superelevation of the track on the stability of the vehicle
system are investigated.
Key words: Railway
passenger car Stability Bifurcation Limit cycle Critical speed
*
This project
is supported by the Special Foundation of the Doctoral Program of China (No.
97061306). Manuscript received on April 19, 2000; revised
manuscript November 25, 2000
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