CORRELATION FUNCTION AND SPECTRAL DENSITY OF RANDOM FLUCTUATIONS IN THE AMOUNT OF CARGO ON THE CONVEYOR
The article presents analytical dependences of the correlation function and the spectral density of the integral load on the conveyor belt in the conditions of random cargo flow, which is specific to mining enterprises. Mathematically, the process of cargo entering the conveyor is considered to be a Markov exponentially correlated random process. The probabilistic parameters of the desired load on the conveyor are determined for two models of random cargo flow: the classical model and the one proposed in earlier works of the author of this article. The analytical dependences obtained in this work can be applied to model the speed control system of a belt conveyor depending on random fluctuations in the input cargo flow, as well as to determine the probabilistic characteristics of random fluctuations in the load on the drive and the maximum tension of the conveyor belt, the amount of methane released by transported coal in mine workings.