Open AccessSmoothed transition curve for railways
Author(s) -
Władysław Koc
Publication year - 2019
Publication title -
przegląd komunikacyjny
Language(s) - English
Resource type - Journals
eISSN - 2544-6037
pISSN - 0033-2232
DOI - 10.35117/a_eng_19_07_03
Subject(s) - curvature , section (typography) , arc length , transition (genetics) , smoothing , geometry , mathematics , torsion of a curve , osculating circle , work (physics) , differential (mechanical device) , point (geometry) , mathematical analysis , center of curvature , arc (geometry) , physics , computer science , statistics , mean curvature , chemistry , biochemistry , gene , thermodynamics , operating system
The work draws attention to the existing situation in the area of transition curvesused in the geometric layouts of the railway track. Difficulties in the practical implementationand maintenance of very small horizontal ordinates of the transition curve and the ordinates ofthe gradient due to cant in the initial section, appearing on smooth transition curves, wereindicated. The main reason for this situation was the excessive smoothing of the curvature intheir initial section. Employing the method of curvature identification by differentialequations, a new form of the curve was obtained, which was referred to as the "smoothedtransition curve". A definite advantage of this curve was shown, from the implementationpoint of view, over representing the smooth transition curves of the Bloss curve. . It seemsthat it could successfully compete with the commonly used clothoid, to which it is similar inthe initial section, while it differs significantly along its further length, especially in the finalsection, where it provides a gentle entry from the transition curve into a circular arc.