Aspects of Railway Vehicles Vibrations with Nonlinear Spring Suspension Characteristics

摘要

Random vibrations in railway vehicles with nonlinear characteristics of the spring suspension are considered to be nonstationary. The paper examines a method that allows to account for nonlinear vibrational system different aspects by the example of research of railway vehicle random vibrations with nonlinear characteristics of transverse forces that are close to a cubic parabola. Probabilistic characteristics of such oscillations are determined on the basis of the procedure of averaging over many realizations. In this case the correlation function and the spectral density is three-dimensional. In the spectral densities, in addition to the main maximum, which lies in the main plane on the diagonal, there are also side peaks corresponding to ultraharmonic vibrations of nonlinear systems. Taking into account that the amplitudes of the side peaks are smaller than those of the main maximums it can be said that in this nonlinear system ultraharmonic vibrations appear on frequencies that are about twice as high as the frequencies of the main maximums.