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Mathematical Problems in Engineering
Volume 2014, Article ID 679817, 13 pages
http://dx.doi.org/10.1155/2014/679817
Research Article

Analytical Method of Modelling the Geometric System of Communication Route

Faculty of Civil and Environmental Engineering, Gdansk University of Technology, Narutowicza 11/12, 80-233 Gdansk, Poland

Received 10 October 2013; Accepted 14 April 2014; Published 11 May 2014

Academic Editor: Youqing Wang

Copyright © 2014 Wladyslaw Koc. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The paper presents a new analytical approach to modelling the curvature of a communication route by making use of differential equations. The method makes it possible to identify both linear and nonlinear curvature. It enables us to join curves of the same or opposite signs of curvature. Solutions of problems for linear change of curvature and selected variants of nonlinear curvature in polynomial and trigonometric form were analyzed. A comparison of determined horizontal transition curves was made and examples of negotiating these curves into a geometric system were given.