On Estimation of Railway Track State

Abstract

Building hardware complex diagnostics of railway track on the basis of analysis of dynamic processes in the movement of train does not have alternatives at the moment. Similar methods have long been used in the operation of aircraft and other fields of technology and mechanical engineering, biomedical field. The ability to simplify calculations of model tasks is provided by authors’ additions to the theory of basic models of «Timoshenko beam» in different situations. Inhomogeneous system of linear differential equations with partial derivatives of the second order is accurately reduced to sequence of solution of two classic mixed problems – derived equations: hyperbolic and Klein-Gordon-Fock. It is shown that the system has two scales (two basic frequencies). The effect of abnormally rapid fluctuations oscillations is explained. A semi-analytical – numerical method is offered that allows to compare effects caused by different boundary conditions.