Inverse Analysis of Chatter Vibration Information of Circular End Milling Based on Two Dimensional Discrete Fourier Transform of Machined Surface Pattern Reconstructed from Multiple Images

Abstract

It is known that chatter marks are formed on the machined surface when chatter vibration occurs during cutting. This paper proposes a method for inverse analysis of the frequency and phase difference of chatter vibration during cutting based on the periodicity of the chatter mark on circular machined surface analyzed by the two-dimensional discrete Fourier transform. The chatter mark on the circular machined surface was reconstructed on the image by projecting multiple images taken by a digital camera of the machined surface onto the circular machined surface on the computer, based on the camera calibration using the accurate table feed of the machine tool. The chatter vibration information, which was obtained by the proposed method based on the two-dimensional discrete Fourier transform of this reconstructed chatter mark image, was compared with the information analyzed from the tool displacement during cutting. As a result, the proposed process is found to be effective as an inverse analysis method to estimate the chatter vibration when end milling the curved surface.