Mathematical description of physical nature of acoustic pollution dynamics of the environment by rail

Abstract

The article is devoted to solving the actual problem - to reduce acoustic pollution which is made by rail. The purpose is to ensure the acoustic rail safety through physical modeling of the acoustic pollution dynamics of the railways process environment, followed by mathematical description of this process on the basis of methods of probability theory and mathematical statistics. Research methods were based on the analytical generalization of scientific and technical results of dynamic systems research on the basic provisions of the system analysis, theory, simulation of technical systems, methods of mathematical statistics and probability theory. A sound wave in the course of its dynamic interaction with physical objects in each stage changes its physical characteristics. Therefore, the essence of the physical process dynamics of the acoustic pollution caused by rail can be expressed in mathematical relationship characterizing the probability of the process realization. The resulting study of the mathematical description of dynamics physical nature of the acoustic pollution of the process fluid rail enables a scientific foundation for these or other technical solutions aimed at reducing the acoustic discomfort in the surrounding territories of populated areas.