path equation of sin wave profile

Question

I made a CNC machine to make a sine wave profile around a cylinder but i want to make an equation/s so the user to input some variables like cylinder diameter,frequency ,amplitude and cutter diameter .and the equation/s tell him the Z and C values. I tested this by using CAM software but this is complex for normal users.Some videos to explain

Z axis and C axis is a rotational axis about Z – Hosam Yonis Jun 07 '17 at 10:46 — Hosam Yonis, Jun 07 '17 at 10:46

score 0 · Accepted Answer · answered Jun 06 '17 at 13:53

0

I would suggest the following path in the case where your cylinder axis is aligned with Z-axis : $$f:[0;2\pi]\to\mathbb{R}, f(t) = (r\cos(t), r\sin(t), h+A\sin(kt)-A)$$ where $r$ is the radius of your cylinder, $h$ the height of the cylinder, $A$ half the depth of the wave, and $k$ the number of waves

answered Jun 06 '17 at 13:53

stity

3,500

thanks , i will try this and tell you – Hosam Yonis Jun 06 '17 at 20:49
It works very well thank you – Hosam Yonis Jun 08 '17 at 20:50

path equation of sin wave profile

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