Calculation

Chatter and Vibration

Created on · chatter

Estimates a bending natural frequency and tooth-pass frequencies for engagement.

Effective core diameter

Free length

Elastic modulus

Density

Teeth

Measured natural frequency

Spindle-speed limit

How to use the result

The calculation describes the specified model. Check the tool, workholding, and machine limits before use.

k = 3EI/L³f₁ ≈ √(k / (0,2357 · m)) / (2π)n_j = 60 f₁ / (z · j)

Sources: Euler–Bernoulli cantilever vibration model; chatter requires a measured frequency-response function.