GEOMETRIC SIMULATION OF SURFACE FORMS OF SUPERELEVATION ATTAINMENT OF A HIGHWAY BASED ON CYCLOGRAPHIC MAPPING

Abstract

Theoretical studies on highway design consider the road axis as a basic element that defines spatial
forms of other road elements: the roadway, the roadside verge, and the slopes. Based on this principle of
shaping of the road elements, mathematical models of shaping based on the cyclographic method of simulation
of space and its objects are proposed in this article.
Shaping of surface forms of road elements on its transition segment and on a curve essentially differs
from shaping on a straightway section by a number of specific features that impede and complicate
the process of theoretical and practical shaping. The article describes the possibility to construct mathematical
models of shaping a superelevation attainment segment on the basis of cyclographic mapping of
the road axis. An example with detailed analysis and visualization of each stage of shaping is given.
Results of the work can be used for development of modern specialized CAD of highways.