Development of a parameterized mechanical model of a chisel-edge grating ruling tool

The parameterized mechanical model is proposed to optimize chisel-edge grating ruling tool parameters, eliminate corrugated grating lines, improve surfaces roughness of blaze plane, and reduce complex fabrication works such as step-by-step modification of tool guide angle. A mathematical model of force and torque between the diamond tool and the metallic film during the ruling process is deduced to realize optimized diamond tool geometrical parameter design. Then, grating ruling experiments are performed by tools with different guide angles of 75°, 95°, 115° and 135°, respectively. The experiments results agree well with the theoretical calculation value of force and torque. Experiments show that our proposed method is an effective way to solve the corrugated line and fluctuating problems on grating grooves, and can avoid complex and time-consuming technical operations such as step-by-step modification of tool guide angle. This illustrates the significance of our model for practical applications in the ruling of high-performance gratings.