Analysis of dynamic instability of the wheel set of a railway vehicle using the method of generalized hill determinants

The article considers the tasks associate with study of dynamic processes interaction between rolling stock and railways. Studies a wheel rail, fitting vehicle into curves when modeling critical emergency situations do not allow oversimplification basic differential equations. And they should be based on exact nonlinear equations that take account entire set geometric kinematic relationships without simplification. An objective assessment characteristic can only obtained by simultaneously taking both its vertical horizontal irregularities. In order to determine boundaries parametric resonance, proposes method generalized Hill’s determinants, application which is possible small parameters.