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|Italian to English translations [PRO]|
Tech/Engineering - Transport / Transportation / Shipping / roads
|Italian term or phrase: clotoide|
|Infine nelle autostrade con tracciato per clotoide e curve, il punto d'inizio e fine deve correspondere con l'inizio e la fine delle clotoidi|
What is clotoide?
It is a logical shape with a varying radius, in use for the transition of a straight to a circle curve in roads and railways because a vehicle following the curve at constant speed will have a constant rotational acceleration, reducing lateral stress on the rail tracks, however it may not be the ideal transition spiral, especially at higher speeds, due to other forces acting upon the passengers.
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clothoid/spiral of Cornu/Cornu spiral
The Cornu spiral, also known as clothoid, is the curve generated by a parametric plot of S(t) against C(t). The Cornu spiral was created by Marie Alfred Cornu as a nomogram for diffraction computations in science and engineering.
C'(t)2 + S'(t)2 = sin2(t2) + cos2(t2) = 1,
in this parametrization the tangent vector has unit length and t is the oriented arc length of the curve measured from the origin (0,0). Therefore, both spirals have infinite length.
It has the property that its curvature at any point is proportional to the distance along the curve, measured from the origin. This property makes it useful as a transition curve in highway and railway engineering, because a vehicle following the curve at constant speed will have a constant rate of angular acceleration. Sections from the clothoid spiral are commonly incorporated into the shape of roller-coaster loops to make what are known as "clothoid loops".
Note added at 9 min (2008-09-03 16:02:44 GMT)
The Cornu spiral, known from diffraction in a single slit, is the basis for clothoid loops, first introduced by Werner Stengel . Parts of clothoids are also used to connect parts of tracks with different curvatures. Clothoids are frequently used in railway and road building, e.g. for motorway exits . A driver keeping constant speed in a clothoid segment of a road can turn the steering wheel with constant angular velocity; the Cornu spiral has the property that the radius of curvature is inversely proportional to the distance, s, from the center of the spiral.
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