Few detailed theoretical studies on hunting considering the nonlinearity of the creep force have been published to date. The Krylov-Bogoliubov method is applied to the analysis of the wheelset hunting having a nonlinear creep force between the wheel and the rail. As result, it became clear that a stable limit cycle exists, and its amplitude increases in proportion to the frictional coefficient-between the wheel and the rail. The amplitude of a limit cycle obtained by the approximate solution coincides well with the exact solution by the Runge-Kutter method. Furthermore, the amplitude of a limit cycle can be obtain immediately, because that of the limit cycle results in a formula of the van der Pole type. The results will be helpful for investigating the hunting phenomenon and designing wheel tread profiles.
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