Modelling issues in a rail vehicle – track system

The paper presents developed effective modelling methods useful for modelling selected issues in a rail vehicle – track system. Numerical methods for identifying field sources for systems described by the Poisson differential equation were used. These methods constitute an adaptation of a simulation method using computational tools from the field of combinatorial analysis, supplemented with regularization procedures. It has been demonstrated that the method can also be applied under conditions of reduced measurement data limited to the results of measurements taken at the boundary of the examined area. Since physical fields described by the Poisson equation were taken into account, the developed methods may be useful in studying only certain issues in a rail vehicle – track system, such as the identification of stress parameters for rail torsion under force excitation and the identification of heat sources in the rail caused by rolling contact. The results of identifying heat sources in the rail caused by wheel-rail rolling contact can be used to verify the mechanical characteristics of the contact. An original method for modelling wheel-rail contact dynamics for vertical force based on the concept of single-period energy used in electrical circuit research is also presented.MODELLING ISSUES IN A RAIL VEHICLE – TRACK SYSTEM
In this paper there are presented effective modeling methods useful to investigations of selected issues in a rail vehicle – track system. The numerical methods of field sources identification were used for systems described by a Poisson equation. These methods are constructed on the bases of the simulation method with the use of computational tools from the combinational analysis supplemented with a special regularization procedure. It is proved that this method may be used in the case of limited number of experimental data, e. g. only from the border of domain. These methods may be applied to identity tension parameters of torsion of a rail or to identity heat sources in a term trace in a rail generated by the rolling wheel-rail contact. Results may be used to verify the mechanical properties of rolling contact. Also there is presented the dynamical modelling method useful to study a wheel-rail contact for vertical force. This method is constructed with the use of the one period energy concept from the electrical engineering. (…)