Theoretical studies and calculations of interaction forces between the way the wheels rolling of different degrees of wear and tear

Experimental and theoretical studies of the wheel surface outline influence on the horizontal and cross forces interacting between the elements of the track and the rolling stock, operating on the Ukrainian railways, have been carried out. The theory modelling the rolling stock wheel pair impact on the stability of the wheel pairs motion in contact with the track has been further developed. Experimental study of the locomotive wheel pairs rolling surface has been carried out. Analyzing the experimental studies we have found out that the wheel pairs with reinforced surface, have a greater resistance to wear and tear but just to a certain extent, and then the rolling surface geometric dimensions wear and tear rate increases sharply. The digital outline obtained by means of laser scanning was used to calculate transverse horizontal forces. The calculations were made for three types of wheel pairs wear at the speeds up to 160 km/h, the track curves radii varying from 300 m to 1000 m. The two types of rails- R65 and UIC-60 both new and worn were used. Analyzing the results of the calculations it can be concluded that the rolling surface state influences the horizontal lateral force, wheel pair vibration amplitude; the critical speed of the locomotive reduces. Thus, to know the critical speed which must be higher for any wear of the rolling speed of locomotive wheel pairs is very impor-tant as it ensures the decrease of the track side effects. The theoretical results make it possible to estimate track and rolling stock interaction force; it can be concluded that the locomotive wheel pairs suspension rigidity influences the cross force too