Mathematical modeling of occasional road disturbances for mobile vehicles dynamic research

Mathematics
Authors:
Abstract:

This paper focuses on a simulation procedure of occasional road disturbances reasoning from noncanonical occasional functions analysis method in terms of determinate functions depending on only three casual quantities with any distribution law of their probabilities. A developed mathematical method for simulation of random road disturbances gives an accurate representation of the random function perturbations in the framework of the correlation theory using only three random variables. The proposed approach allows obtaining more reliable information about the spectral composition of the microrelief, simplifying studies of the mobile vehicles dynamics and reducing the computation amount as compared to other methods.