The application of nonlinear curvature sections in the turnout diverging track

The paper presents the analytical method of modelling the diverging track of railway turnout with nonlinear curvature sections. These sections were used for smoothing the graph of curvature in the extreme areas of turnout. The problem of the curvature distribution was identified with the use of differential equations. The resulting solutions are of universal nature for example the ability of assuming any values of curvature at the beginning and ending of the layout. The comparative analysis was performed for two cases with nonlinear curvature and corresponding cases where linear curvature was used. As a result, the analysis of selected cases showed a beneficial curvature distribution in a nonlinear variant, the extreme areas of circular arc are smoothed as well as the curvature at both ends of the layout is equal to zero.