Applications of Differential Geometry of Curves in Roads Design

An important role in the roads design is played by plane curves, if the road lies on a plane surface and by space curves, if the road can not be embeded in a plane. This article presents some work done in the two and three dimensional roads design, by using the differential geometry methods. A study...

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Main Authors: Burlacu Adrian, Mihai Adela
Format: Article
Language:English
Published: Sciendo 2023-12-01
Series:Romanian Journal of Transport Infrastructure
Subjects:
Online Access:https://doi.org/10.2478/rjti-2023-0010
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author Burlacu Adrian
Mihai Adela
author_facet Burlacu Adrian
Mihai Adela
author_sort Burlacu Adrian
collection DOAJ
description An important role in the roads design is played by plane curves, if the road lies on a plane surface and by space curves, if the road can not be embeded in a plane. This article presents some work done in the two and three dimensional roads design, by using the differential geometry methods. A study of a general case for plane roads is given.
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spelling doaj.art-17f14815a11a433e8da526c3ad6ad8a22024-03-25T07:30:47ZengSciendoRomanian Journal of Transport Infrastructure2286-22182023-12-0112211310.2478/rjti-2023-0010Applications of Differential Geometry of Curves in Roads DesignBurlacu Adrian0Mihai Adela1Associate Professor, Ph. D.; Faculty of Railways, Roads and Bridges, Technical University of Civil Engineering Bucharest, Bd. Lacul Tei 122-124, 020396Bucharest, RomaniaProfessor, Ph. D.; Department of Mathematics and Computer Science, Technical University of Civil Engineering Bucharest, Bd. Lacul Tei 122-124, 020396Bucharest, Romania; Interdisciplinary Doctoral School, Transilvania University of Brasov, Bd. Eroilor 29, 500036Brasov, RomaniaAn important role in the roads design is played by plane curves, if the road lies on a plane surface and by space curves, if the road can not be embeded in a plane. This article presents some work done in the two and three dimensional roads design, by using the differential geometry methods. A study of a general case for plane roads is given.https://doi.org/10.2478/rjti-2023-0010roads designspline curvesfrenet framecurvaturetorsionparabola
spellingShingle Burlacu Adrian
Mihai Adela
Applications of Differential Geometry of Curves in Roads Design
Romanian Journal of Transport Infrastructure
roads design
spline curves
frenet frame
curvature
torsion
parabola
title Applications of Differential Geometry of Curves in Roads Design
title_full Applications of Differential Geometry of Curves in Roads Design
title_fullStr Applications of Differential Geometry of Curves in Roads Design
title_full_unstemmed Applications of Differential Geometry of Curves in Roads Design
title_short Applications of Differential Geometry of Curves in Roads Design
title_sort applications of differential geometry of curves in roads design
topic roads design
spline curves
frenet frame
curvature
torsion
parabola
url https://doi.org/10.2478/rjti-2023-0010
work_keys_str_mv AT burlacuadrian applicationsofdifferentialgeometryofcurvesinroadsdesign
AT mihaiadela applicationsofdifferentialgeometryofcurvesinroadsdesign