Numerical Analysis of Railway Track by Runge-Kutta 4th Order Method and Determine the Dynamic Response of Track Components

Ballasted railway track are of the most common types of railway in our country. The aim of this paper is study of three-dimensional suitable model for railway ballasted track and Dynamic analysis of that using numerical Runge-Kutta 4th Order Method. After the dynamic analysis is performed the responses related to railway components are determined. To analyze the effect of passing railway train on track، a function of time variant moving load on the railway line is applied and the effect of dynamic response under loading is evaluated. Previous researchers in the field of this activity have worked on modeling and analyzing of railway track system and train-track interaction problems on the two-dimensional models and the dynamic time domain problem for 3D models has not completely examined before. But this study is trying to consider the extra transverse nodes on previous models and come in three-dimensional dynamic analysis by numerical method. In other words، a new perspective in this article، is considering the nodes for transverse model of railway track and also numerical analysis of that. In this article، a 3D analytical model of Moving Load‐Track interaction is organized by elements of mass، spring and dashpot. Since، railway track structure can innovatively be simulated with a continuous model of mass‐spring system. Then by using the principles of structural dynamics and finite element method، equations that governing the motion of components of this model are identified and final equations are extracted. Brief description of the numerical method is use of solving algorithm to solve the track- moving load interaction. In this research، simulation and modeling for rails، tie، connections and railway superstructure layers، is considered as elements of lump masses، springs and dampers. Traditional methods used for design of rail elements، have been based on static loading and quasi-dynamic analysis، but in this paper، according to the structural dynamics phenomena in relation to rail component vibrations and study of dynamic loading effects on track components، are the issues to more realistic analysis. Responses obtained from dynamic analysis can be utilized as inputs for designing concepts and optimizing the track components.