Relationship between cutting force and tool vibration when cutting diamond hard and brittle materials

It can be seen from Fig. 2 that the low frequency component of the vibration signal spectrum of the tool when cutting granite and cast iron is complicated, and the low frequency component of the vibration signal spectrum of the tool when cutting steel is single. This indicates that the interference of the low-frequency vibration of the tool when cutting granite and cast iron is more complicated than that of cutting steel, and the cutting stability is poor, which will cause the cutting amplitude to fluctuate to some extent, which is shown in Figure 3 The cutting force comparison has also been confirmed. In Fig. 3 , although the cutting force of the plastic material steel fluctuates as a whole, the cutting force signal is very concentrated and the dispersion is small; while the cutting force signals of the hard and brittle material granite and the semi-brittle semi-plastic material cast iron appear many Small spikes, very distracting. This shows that the nature of the material itself has an effect on the fluctuation of the cutting force [ 3 ] . In addition, as can be seen from Fig. 2 , the tool vibration signal has a multi-peak spectrum when cutting granite and cast iron, and the single-peak spectrum when cutting steel, which is consistent with the main peak of the cutting force spectrum shown in Fig. 3 . It can be seen that the material properties of the workpiece are different, and the cutting force signal and the spectrum of the tool vibration signal in the cutting process have different distribution laws. The properties of the material (such as brittleness or plasticity) are a factor that causes the cutting force fluctuation of the hard and brittle material. .

2 . Correlation analysis between vibration signal and cutting force signal

The correlation between the cutting force signal and the vibration signal of granite, ceramic and steel materials is shown in Fig. 4 .

Axial cutting force F x radial cutting force F y tangential cutting force F z
( a ) Correlation diagram between granite cutting force signal and vibration signal

Axial cutting force F x radial cutting force F y tangential cutting force F z
( b ) Correlation diagram between ceramic cutting force signal and vibration signal

Axial cutting force F x radial cutting force F y tangential cutting force F z
( c ) Correlation diagram between steel cutting force signal and vibration signal
Figure 4 Correlation diagram between cutting force signal and vibration signal when cutting different materials

It can be seen from Fig. 4 that the properties of the workpiece material are different, and the correlation between the cutting force signal and the vibration signal is also significantly different. Figure 4c shows that the correlation between the three-way cutting force signal of steel and its vibration signal is highly consistent, and the periodicity of the associated signal is particularly significant. In contrast, granite and ceramic-related signals are more dispersive and less cyclical. In the three-way cutting force of granite, the correlation between the axial cutting force and the radial cutting force signal and its vibration signal is stronger than the correlation between the tangential cutting force signal and the vibration signal. The radial cutting force signal of the ceramic and the correlation signal of the vibration signal are more periodic than other two-direction cutting forces.

The above correlation analysis shows that the cutting force fluctuation of steel mainly comes from the tool vibration in the cutting process; while the cutting force fluctuation of hard and brittle materials such as granite and ceramic is affected by various factors such as the material properties of the workpiece and the vibration of the tool. In addition, the radial cutting force of hard and brittle materials is more sensitive to vibration than other two-way cutting forces.

Third, the conclusion

( 1 ) When cutting different workpiece materials, the time-domain waveform and the frequency-domain spectrum of the cutting force signal have different characteristics: the cutting force of the hard and brittle material fluctuates greatly in the time domain, and the cutting force fluctuation of the plastic material such as steel is small; the hard and brittle material in the frequency domain The cutting force spectrum has multiple main peaks, while steel has a single main peak.

( 2 ) The cutting force signal of plastic material has strong correlation with vibration signal, and the correlation between three-way cutting force signal and vibration signal is very consistent and periodic; the correlation between cutting force signal and vibration signal of hard and brittle material is not obvious. And the radial cutting force in the three-way cutting force is most sensitive to the vibration signal.

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