Time-varying tool influence function model of bonnet polishing for aspheric surfaces

Area of Science:

• Manufacturing Engineering
• Materials Science
• Surface Metrology

Background:

• Bonnet polishing of aspheric surfaces presents challenges due to time-varying tool influence functions (TIF).
• This variation is caused by the changing surface curvatures inherent to aspheric geometries.
• Accurate modeling of TIF is essential for achieving high-precision aspheric surface finishes.

Purpose of the Study:

• To investigate the effect of surface curvature on the bonnet-workpiece contact area during aspheric polishing.
• To develop and validate a time-varying TIF model for aspheric surface polishing.
• To provide a theoretical basis for dynamic compensation strategies in aspheric polishing.

Main Methods:

• Finite element analysis (FEA) was employed to model the bonnet-workpiece interaction.
• Kinematics analysis was integrated to account for the motion and geometry of the polishing process.
• Experimental validation was conducted to verify the accuracy of the developed TIF model.

Main Results:

• The study successfully modeled the time-varying TIF, demonstrating its dependence on surface curvature.
• Experimental results showed strong agreement with the predictions from the finite element and kinematics analyses.
• The developed model accurately forecasts TIF across different polishing positions on aspheric surfaces.

Conclusions:

• Surface curvature significantly influences the TIF in bonnet polishing of aspheric components.
• The proposed time-varying TIF model provides a reliable method for predicting polishing behavior.
• This research lays the groundwork for advanced dynamic compensation techniques to improve aspheric surface polishing accuracy.