تحلیل عددی خط راه آهن با روش رونگ- کوتا مرتبه چهارم و تعیین پاسخ دینامیکی اجزای خط

Ballasted track are of the most common species of railway in our country. The aim of this paper is study of three-dimensional models suitable for railway ballasted track and Dynamic analysis of those using numerical method Runge-Kutta 4th Order Method, after the dynamic analysis is performed and finally responses related to railway components be determined. To analyze the effect of passing under the railway train, a function of loading time on the railway line is applied and the effect of dynamic response under loading is evaluated. Previous researchers in the field activities of the railway system modeling and analysis of the dynamics on the two-dimensional models have been done. But this article is trying to consider the transverse nodes, on previous models and comes in three-dimensional dynamic analysis of the numerical method to be done. In other words, a new perspective in this article, consider nodes for transverse railroad modeling and numerical analysis of it. Brief description of the numerical methods mentioned along with the solving algorithm is mentioned in this article. In this research, simulation and modeling for rails, tie, connections and railway superstructure layers, is considered as elements of lump mass, spring and damper is used. Traditional methods used for the design of rail lines, based on static loading and quasi-dynamic analysis, the line components are analyzed, but in this article, according to the theories discussed in relation to rail component vibration, and study of dynamic load effects on track components into the issue to be more realistic. Responses obtained from dynamic analysis can be as input and issues designed to optimize rail components.