Abstract
Resonance phenomena take place not only in the field of sound and electricity, but also in mechanics, optics, physics, it is known that resonance can be, for example, a cause of destruction of a bridge, tunnel under the action of periodic forces, train derailment due to intense vibrations of rolling stock. It is shown that in mechanical systems with one degree of freedom there can be only simple parametric resonance and the number is countable. The article proposes a method for determining areas of parametric resonances of a railway carriage wheel pair. On the basis of the trigonometric method main areas of parametric resonance of railway carriage wheel pair have been established. To study the vertical displacements of units and parts of the vehicle, the authors proposed a design scheme for a conditional uniaxial vehicle. The authors found that for a given range of parametric perturbation coefficient variation it is enough to consider only one harmonic, and secondly, the width of the resonance zone increases with growth of the parametric perturbation coefficient. The performed studies have established that the longitudinal uneven elasticity of the railway track creates sufficiently large transfer accelerations acting on the rolling stock units, and the maximum amplitude of the wheelset bouncing due to the longitudinal uneven elasticity of the track is in order of magnitude higher than the same indicator from the geometric unevenness on the rail tread surface. The results obtained in establishing the areas of parametric resonances of the wheelset of a railway vehicle will be useful in developing recommendations for normalizing the values of the uneven elasticity of the railway track.