Three-dimensional elliptical vibration cutting (3D-EVC) is one of the machining methods with the most potential in ultra-precision machining; its unique characteristics of intermittent cutting, friction reversal, and ease of chip removal can improve the machinability of materials in the cutting processes. However, there is still not much research about the chattering phenomenon in the 3D-EVC process. Therefore, based on the empirical mode decomposition (EMD) technique and feature extraction, a chatter identification method for 3D-EVC is proposed. In 3D-EVC operations, the vibration signal is collected by the displacement sensors and converted to frequency domain signal by fast Fourier transform (FFT). To identify tool cutting state using the vibration frequency signal, the vibration signals are decomposed using empirical mode decomposition (EMD), a series of intrinsic mode functions (IMFs), so the instantaneous frequency can be reflected by the vibration signals at any point. Then, selecting the primary IMFs which contain rich chatter information as the object in feature extraction identification, and two identification indexes, that is, the mean square frequency and self-correlation coefficient, are calculated for the primary IMFs by MATLAB software, to judge the chatter phenomenon. The experimental results showed that the mean square frequency and self-correlation coefficient of the three cutting states increase with the increase in the instability of the cutting state. The effectiveness of the improved chatter recognition method in 3D-EVC machining is verified. Appl. Sci. 2019, 9, 21 2 of 15 increase of the spindle speed, small cutting depth, and great performance of the diamond tool. But the damage accompanying chatter is mainly reflected in reducing the accuracy of the work-piece of the optical parts, increasing the surface roughness of the work-piece, speeding up the wear on the cutting tools, and causing damage to the spindle of the machine tool [6,7].EVC is an intermittent cutting technology, which has the characteristics of friction reversal, tool wear suppression, and easy chip removal. However, there is no specific literature on the identification of chatter in the 3D-EVC cutting processes [8]. In 2011, Ma et al. proposed that the two-dimensional EVC technology had a certain inhibitory effect in chatter suppression compared to the traditional cutting method, and the effectiveness of the effect of chatter suppression was verified by experiment, but this was limited to two-dimensional elliptical vibration cutting [9]. In 2016, Jung et al. collected the real-time signal from the 2D-EVC process and analyzed the chatter phenomenon according to the frequency domain analysis and surface of the work-piece [10]. They obtained the friction chatter mechanism of the plough force during the initial period of each ellipse movement cycle and suppressed the chatter vibration by changing the guiding angle in 2D-EVC process. It was also the earliest research on identification and suppression of the chatter phenomenon...