bolsover
Senior Member
I have been tinkering with chat.openai.com. After asking the usual questions about how to dispose of hated members of society, my interest turned back to the geometry of gears.
I'm completely blown away.
Following a couple of warm up questions, I asked the ai to provide an algorithm for the generation of 2D gear tooth profiles.
Here is the response:
Certainly! Here is an modified algorithm for generating a helical gear tooth in 2D using an involute curve for the tooth profile:
I reccomend everyone to get an account.
db
I'm completely blown away.
Following a couple of warm up questions, I asked the ai to provide an algorithm for the generation of 2D gear tooth profiles.
Here is the response:
Certainly! Here is an modified algorithm for generating a helical gear tooth in 2D using an involute curve for the tooth profile:
- Define the gear parameters: number of teeth (N), pitch diameter (D), pressure angle (α), profile shift coefficient (x), and helix angle (φ).
- Calculate the base pitch (Pb) using the following formula: Pb = π * D / N
- Calculate the working depth (hf) using the following formula: hf = (Pb * cos(α)) / (2 * cos(β))
- Calculate the tooth thickness at the pitch line (ht) using the following formula: ht = hf * cos(β)
- Calculate the addendum (ha) using the following formula: ha = hf + ht
- Calculate the dedendum (hf) using the following formula: hf = ha - 2 * ht
- Calculate the profile shift (xs) using the following formula: xs = x * hf
- Calculate the involute curve using the following steps:
- Choose a point on the base circle as the starting point of the involute curve. This point is usually at the intersection of the base circle and the straight line drawn from the center of the base circle to the point of tangency of the involute curve with the base circle.
- Draw a straight line from the starting point to the point of tangency.
- Calculate the radius of curvature (R) at the point of tangency using the following formula: R = (D / 2) * (1 / cos(α))
- Calculate the distance (s) along the involute curve from the starting point to the point of tangency using the following formula: s = R * (α - sin(α))
- Calculate the coordinates (x, y) of the point of tangency using the following formulas: x = R * cos(α) + s, y = R * sin(α)
- Draw a circular arc from the point of tangency to the next point on the involute curve. The radius of the arc is equal to the radius of curvature at the point of tangency.
- Repeat steps 5 and 6 for each point along the involute curve until you reach the desired length.
- Rotate the involute curve by the helix angle (φ) for each subsequent tooth.
- Repeat steps 8 and 9 for each tooth.
I reccomend everyone to get an account.
db