The purpose of this article is to analyze the need to apply the methods of mathematical modeling when performing examinations of rolling stock derailment.
The description of the dynamic behavior of rolling stock when moving on the track is a rather complicated, time-consuming process, which requires highly qualified expert and time-consuming.
The presence of detailed mathematical models of the constituent units of the rolling stock would greatly facilitate the study of cases of their derailment.
At present, a significant number of scientific papers are devoted to the study of the dynamics of rolling stock movement using mathematical models.
In Lviv NDISE, investigations of such railway accidents as rolling stock derailment from the rails are performed by experts according to the methods developed by the doctor of technical sciences Sokol E. M., allowing to take into account a certain number of parameters of wagon running gears.
At present, when experts examine the cases of rolling stock derailment, there is a need to develop new methods that would allow to take into account more parameters of the undercarriage parts of the wagons, such as: parameters of the damping system, spring suspension, bolster, node of the body-bogie bolster center plates, etc. P. There are also cases of railway accidents, in which one of the reasons may be the presence of defects on the rolling surface of the wheels of the rolling stock.
In this regard, experts of Lviv NDISE to take into account the above-mentioned parameters of the running gears and to identify the most significant for rolling stock derailment, it was developed object-oriented programming in the computer environment Maple.
At present, have developed a mathematical model of a passenger car of a diesel train, the DPKr-2, and an improved mathematical model of a freight wagon.
The authors of the article came to the conclusion that the use of mathematical models and their computer solution can facilitate the process of researching rolling stock cases from the rails, as it allows automating and speeding up the study of dynamic indicators of rolling stock, facilitating the process of establishing the limiting values of its technical condition parameters and assessing the consequences changes in these parameters in certain working conditions.
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