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Variable swept:
It is possible to make a variable swept by setting a rotation and/or a scaling law to the section curve.
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On both cases, the law is divided into three parts:
A first part constant (optional).
A variable intermediate part (linear or non-linear).
A final part constant (optional).
The constant parts are determined by setting the length of the guide curve on which the law must be constant.
If you want to use a law
with constant parts and get anyway a smooth
shape, you have to use a non-linear
variation.
If the guide curve is closed, the total rotation angle must be a multiple of 360°, and you can't use the scaling law (the departure section must be equal to the arrival section).
When you use a variation law and the guide curve hasn't got a continuous curvature (for example a curve made of a succession of lines and tangent arcs), the swept shape obtained has usually got tangential discontinuities; you just need to smooth the guide curve out to remove them.
