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2015 Impact Factor: 0.519 ©2015 Thomson Reuters, 2015 Journal Citation Report®

ISSN 1822-427X print
ISSN 1822-4288 online



"The Baltic Journal of Road and Bridge Engineering"
Vilnius: Technika, 2016, Vol XI, No 1, p. 1-10

Władysław Koc, Katarzyna Palikowska
Modelling of joining route segments of different curvature
DOI: 10.3846/bjrbe.2016.01
The paper presents a new general method of modelling route segments curvature using differential equations. The method enables joining of route segments of different curvature. Transitional curves of linear and nonlinear curvatures have been identified in the case of joining two circular arcs by S-shaped and C-oval transitions. The obtained S-shaped curves have been compared to the cubic C-Bezier curves and to the Pythagorean hodograph quantic Bezier curve using the Lateral Change of Acceleration diagram and the dynamic model. The analysis of dynamic properties has showed an advantage of the obtained transition curve of nonlinear curvature over Bezier curves.
Keywords: curvature, Bezier curve, differential equations, dynamic analysis, highway, lateral change of acceleration, transition curve.

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