Theoretical analysis of passive rail grinding

OBRABOTKAMETALLOV Vol. 24 No. 3 2022 TECHNOLOGY 5. In the analysis, identical conditions for the implementation of grinding are applied. In comparative calculations, the same values of friction coeffi cients, pressing forces, grinding wheel diameters and grinding train speeds were taken. Taking into account the task, the main focus during the kinematic analysis of the grinding methods is to determine the possible speed of the grinding wheel relative to the speed of movement of the grinding train. To determine the possible range of speeds of the grinding wheels, we shall consider the models of the interaction of the grinding wheel with the rail in the different grinding modes. The models are shown in Fig. 7 (top view). a b Fig. 7. Kinematic interaction schemes of grinding wheels: a – HSG method; b – STU method For the given models, the rotation speed of the grinding wheel will be determined by the following ratios: for the HSG method: cos , c t V V   (1) where Vc is the grinding wheel rotation speed, m/s; Vt is the grinding train speed, m/s; α is the angle of rotation of the grinding wheel in relation to the direction of movement (in degrees). for the STU method: cos (2) where φ is the angle that determines the point of contact of the grinding wheel with the rail (in degrees), depending on its shifting in relation to the axis of the rail. cos , e R   (3) where e – eccentricity, m (shifting of the grinding wheel axis of rotation in relation to the grinding track (Fig. 6)); R is the radius of the grinding wheel, m (in further calculations, R = 125 mm). Taking into account formula (3), equation (2) will take the following form: . t c V R V e  (4)

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