A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Universal Solutions of Transition Curves
AbstractThis paper presents two new solutions for transition curves that make it possible to create a smooth connection between two arbitrarily located points. For this reason, the curves are referred to as universal transition curves. The solutions are based on Degree 4 and 5 polynomials and describe the entire curved transition between the set points using only a single equation. The paper also describes a procedure for designing an arc with the use of these curves. The design process requires exact information concerning the location of the two points to be joined (i.e., P and K) as well as the directions of the tangents at these points together with the curvature radii at P and K. Such a data set is necessary owing to the form of the equations describing the universal transition curves. The design principles have been illustrated with relevant numerical examples.
Universal Solutions of Transition Curves
AbstractThis paper presents two new solutions for transition curves that make it possible to create a smooth connection between two arbitrarily located points. For this reason, the curves are referred to as universal transition curves. The solutions are based on Degree 4 and 5 polynomials and describe the entire curved transition between the set points using only a single equation. The paper also describes a procedure for designing an arc with the use of these curves. The design process requires exact information concerning the location of the two points to be joined (i.e., P and K) as well as the directions of the tangents at these points together with the curvature radii at P and K. Such a data set is necessary owing to the form of the equations describing the universal transition curves. The design principles have been illustrated with relevant numerical examples.
Universal Solutions of Transition Curves
Kobryń, Andrzej (author)
2016
Article (Journal)
English
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