One curve to a whole ply
A reference curve is one course. Filling the ply means generating every other course from it. Three families: parallel curves (equidistant, so few gaps and overlaps, but on curved surfaces the angle drifts and the offset itself is hard to compute), shifted curves (simple and fast, but neither equidistant nor on-angle), and independent curves (each course chases the local direction, so steering stays low but courses converge and diverge, and short courses mean many cuts).
Predict · at 1:21 in the video
Offset by projection. A fifty-point-eight-millimetre course, on a surface with a two-hundred-and-fifty-millimetre radius. How far off is the next course?
About two thirds of a millimetre. The step subtends an angle psi at the centre of curvature, with tan psi equal to d over the radius. On a hundred-millimetre radius it's nearly four millimetres.
Automated Fiber Placement: Status, Challenges, and Evolution, Ramy Harik & Alex Brasington.
- Chapter 5, section 3.1.1.A
- Chapter 5, section 3.1.1.B
- Chapter 5, section 3.1.1.C
Simulations in this lesson are our own. Where the numbers are invented to show a mechanism, the video says so on screen.