As a representative technology of ultra-precision machining technology, ultra-precision machining by mechanical grinding of circular edge diamond tools has become an important symbol to measure the manufacturing level of a country. To realize ultra-precision cutting, we need not only ultra-precision cutting machine tools, high-precision testing instruments, and ultra-stable processing environment, but also high-precision arc-edged diamond tools for cutting. The level of high precision arc edge diamond tools in America, Japan, and other countries can reach the blunt radius (sharpness) of the edge within 10nm, and the roundness of the tooltip within 50nm. The cutting edge radius of high precision cutting tools in China is close to the advanced level, but there is still a huge gap in the roundness of the tooltip. Therefore, it is urgent to solve the grinding problem of high-precision arc-edged diamond tools. Diamond crystal has strong anisotropy, the mechanical properties of different crystal planes and even the same crystal plane in different directions are obviously different. On the tip arc of the arc-edge tool, the crystal face of each segment of the arc is different, which makes the different grinding performance of each segment of the arc. If the simple circular grinding method is used, the grinding efficiency will be very low. However, there is no effective model to describe the grinding performance of materials on the tool point arc. In addition, there are many defects in the existing grinding equipment and grinding process, which makes it difficult to achieve high precision in the grinding of the tool point arc.
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