Vibration Analysis of End Milling by Harmonic Balance Method

(In case of Regular Pitch End Mills)

Abstract

In end milling, chatter vibration generated during processing becomes a problem in processing accuracy. Chatter vibration is classified into forced chatter and self-excited chatter depending on the cause of the vibration. The chatter vibration phenomenon in end milling is modeled as a forced self-excited system considering the time delay. Steady-state solutions and its stability are essential for the analysis of this kind of vibration phenomenon, but analysis methods have not been established. In this study, the harmonic balance method was applied to the analysis of the steady vibration solution and stability of the forced self-excited system considering the time delay in the equal pitch end mill. Furthermore, the validity of the calculation results was verified by comparing the harmonic balance method and numerical simulation