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Application of methods physical and mathematical modeling for a research of nonlinear mechanical systems on the example of the rolling stock

There are theoretical researches directed to more in-depth studies of the «Track – Rolling stock» system. They allow solving a variety of technical, economic and ecological tasks of railway transportation. Our team have developed some methods of physical and mathematical modelling and dynamic monitoring of nonlinear mechanical systems which have allowed creating an effective experimental base. In its basis there is a unique laboratory complex for modelling tests of systems «Track – Rolling stock» with various types of traction and trailing rolling stock. It is noted that the experimental results obtained in the laboratory or bench tests to a very great extent match the natural ones. This is provided with the help of correcting methods of non-uniformly scaled, physical and mathematical modelling. The findings of researches give ample opportunities for creation of effective management methods for frictional contacts of a subsystem "wheel-rail"; the following values depend on its reliability and efficiency: a trailer loading, brake track, resource of wheelsets and permanent way elements, reliability and efficiency of a main lead of a traction rolling stock, noise levels and vibration.