Research on the wear trend analysis model and application method of diffraction grating ruling tools

Area of Science:

• Manufacturing Engineering
• Materials Science
• Optics

Background:

• Tool wear is a primary failure cause in diffraction grating ruling.
• Existing research lacks a theoretical model for analyzing tool wear during this process.

Purpose of the Study:

• To develop the first mathematical model for tool wear analysis in diffraction grating ruling.
• To determine friction coefficients at the tool contact position.
• To propose principles for anti-wear ruling tool design.

Main Methods:

• A mathematical model incorporating tool cutting edge radius, knife angle, pitch angle, and ruling depth was established.
• Positive pressure and shear stress on the tool contact surface were analyzed.
• Equations for friction coefficients at the tip point and main edge were derived and calculated using variable parameters.

Main Results:

• Friction coefficients at different tool positions were calculated.
• An anti-wear ruling tool design principle was proposed: large cutting edge radius, small pitch angle, and large tool tip angle.
• Experimental verification confirmed that large pitch angles can lead to excessive friction and ruling failure.

Conclusions:

• The developed model provides a theoretical basis for anti-wear tool design and ruling process optimization.
• The proposed design principle addresses the long-standing challenge of tool wear in large-area echelle grating ruling.
• Understanding friction is crucial for preventing tool jumping and ensuring successful grating fabrication.