In this paper, we analysed theoretically the hunting stability of a high speed vehicle having a small clearance in the connecting position between the truck frame and the bolster anchor when the spring and friction are connected in series against truck turning. According to the theoretical analysis, it was found that the stability of hunting depends on the angular amplitude of the truck. And the limit cycle corresponding with the hunting velocity is a stable limit cycle when the amplitude is small, while the limit cycle is an unstable one when the amplitude is large. Then, the fact that the body hunting ceases to exist in the range between both amplitudes is made clear. Further, the analysis revealed that the stability of hunting is affected by various factors : the stiffness of the bolster anchor, the friction force acting on the side bearer, the clearance in the connecting position between the truck frame and bolster anchor, the damping coefficient of truck turning and the damping coefficient of body suspension and so on.
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