clothoid

clothoid

[′klȯth·ȯid]
(mathematics)
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From Figure 9(a), we can see that the vehicle can track the preplanned reference path composed of arcs, clothoid curves and straight lines.
The clothoid is defined to be a spiral whose curvature is a linear function of its arc length.
The project account section concerns local road improvements, based on OMOE (add clothoid, review Cant etc.
We refer to the methods for clothoid designing and, particularly to the observance of the minimum development of the residual arc that could be brought from a formal point of view to unjustified designing solutions incompatible with territorial pre-existences and costs.
Particularly, relations between the value of circumference arc R and deflection angle [alpha] between two straights have been analyzed when the parameter A of the clothoid varies.
Obviously, in case of small angles of deflection, it is necessary to use very large radius R, otherwise, the development of too long clothoid branches would not guarantee the other verifications of parameter A.
Clothoid is often prefered for highways and railway route design (Meek, Walton 2004a; 2004b).
It is also recorded that, these clothoid curves provides a coherent course of curvature.
This parabola provides a smaller shift-P with a longer transition and a larger spiral extension (K), besides having the advantage of vis-a-vis the clothoid.
The IPA plans the turning curvature in accordance with the vehicle movement by using a clothoid curve and determining the minimized steering angle.
28 on the basis of a functional and utilitarian and The concept of software by the Laboratory of Engineering clothoids Miroslaw Bajor, Andrew Zygmunt, SJ 30-732 KrakEw, ul.