Spectral and cross-spectral densities expressions’ refinement for rail vehicle oscillations

In this paper, we derive analytical expressions describing spectral and mutual densities of random processes by performing Fourier transform the corresponding correlation functions. On basis accepted for functions differentiable processes, density components, which is a complex frequency function, are derived. The influence on functions, densities, components (real, imaginary, amplitude, phase) parameters presented. Plots obtained using have showed full convergence with those direct integration expression function. given in paper may be used investigating various processes. particular, reciprocal can approximation experimentally received including equivalent geometrical irregularities rail track fluctuations vehicle. such an generation analogous experimental multidimensional tasks mathematical modelling.