Designing a clotoid path by approximating a sequence of points using nonlinear programming methods

Abstract

The paper shows the general technology for designing a forest road route in space and the rationale for choosing the most effective method for specific conditions The experience of designing the track using the method of supporting elements showed its high efficiency, at the same time the opportunities for further improvement of the automated design process were revealed with the aim of completely eliminating the stage of graphic processing of the route and automatically recording all the requirements presented to it. To realize these possibilities, a study of the design of the clothoid route was carried out by approximating a sequence of points in the sketch line using nonlinear programming methods (abbreviated name is the method of approximation of a sequence of points). The idea is to determine the position and all the geometric characteristics of the clotoid path, corresponding to the requirements for it, by corresponding processing on the computer of the mathematical model of the sketch line. In this case, the trace should best approximate the specified sketch line, i.e. Geometrically incorrect approximate route. The sketch line can be obtained automatically, for example, using the method of designing the optimal chain route, or it can be scheduled by the designer using aerial photography materials or topographic plans, based on economic and other considerations, and entered into the computer's memory using automatic coordinate recorder.