Cycloidal disc, 11 lobes
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The prompt
Model a cycloidal-reducer disc as ONE solid. Frame: disc axis parallel to Z through (X=5, Y=-8); disc coordinates (x, y) are measured from that point with x parallel to world X and y parallel to world Y. Thickness Z=0..12. Outline: the curve for t = 0..2·pi (the standard cycloidal-disc profile for N = 12 ring pins on a pin circle of radius R = 40, pin radius Rr = 3, eccentricity E = 1.5, giving N-1 = 11 lobes): x(t) = R·cos t - Rr·cos(t + psi) - E·cos(N·t) y(t) = -R·sin t + Rr·sin(t + psi) + E·sin(N·t) psi(t) = atan2( sin((1-N)·t), R/(E·N) - cos((1-N)·t) ). At t = 0 this gives the point (35.5, 0): a valley (minimum radius 35.5) on +x; the lobe tips (radius 38.5) are halfway between valleys, the first at 16.364° (360°/22) from +x. Holes through Z=0..12: a Ø22 centre bore on the disc axis, and six Ø12 output-pin holes on a Ø48 circle at 30° + k·60° (angles from +x toward +y).
Model facts
- Overall size
- 75.9 × 76.4 × 12 mm
- Bodies
- 1
- Volume
- 39.5 cm³
- Adjustable in the studio
- 3 dimensions
