Optimum Shape of Turnout Diverging Track with Segments of Variable Curvature

Abstract

This paper focuses on shaping the variable curvature in the diverging track of a railway turnout. Based on some earlier studies, solutions provided with a circular arc in the midzone and extreme regions with segments of nonlinear curvature of equal length and zero curvature at the start and end of the turnout have been assumed as models. The most advantageous type of curvature has been chosen, taking into account the kinematic conditions. The presentation includes an analytical record of the curvature, tangent inclination angle in the diverging track length, and Cartesian coordinates of the track. The paper also discusses the determination of a set of basic values relating to geometric parameters appropriate for a given speed of trains adequate for ensuring the minimization of the length of the entire turnout at a given final ordinate.