Analytical Method of Modelling the Geometric System of Communication Route

Wladyslaw Koc
2014 Mathematical Problems in Engineering  
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
more » ... ade and examples of negotiating these curves into a geometric system were given.
doi:10.1155/2014/679817 fatcat:tqcv74gx6vcanneba4saakkbbi