# Chatter Stability with Orthogonal Rotation

Chatter Stability with Orthogonal Rotation

The classical model of regenerative chatter is a simple harmonic oscillator excited by a vibration-dependent force with constant delay. This results in a delay-differential equation whose stability analysis gives rise to a chart demarcating the nondimensionalized depth-of-cut and the rotational speed . The well-developed theory available in [1, 2] is adapted for a general overlap factor and process damping . This Demonstration studies the effect of natural frequency and structural damping ratio on the - space and chatter frequency at the threshold of stability. Process damping is important at low rotational speeds and high lobe numbers, where the lobed borderline of stability is completely separated from the asymptotic borderline.

κ

R

0≤μ≤1

>0

f

ζ

κ

R

f

c