A Progressive Search Method for Roundness Evaluation Based on Minimum Zone Criterion.

Area of Science:

• Metrology and Manufacturing Engineering
• Precision Engineering
• Quality Control

Background:

• Micro-machining technology advancements necessitate sub-micrometer/nanometer roundness tolerance verification.
• Accurate evaluation of roundness errors is crucial for ensuring high-quality micro-machined parts.
• Existing methods may lack the precision or speed required for modern manufacturing.

Purpose of the Study:

• To develop and validate a novel method for evaluating roundness errors based on the minimum zone criterion.
• To establish a precise and efficient approach for verifying nanometer-level roundness tolerances.
• To ensure the quality of micro-machined components through accurate roundness assessment.

Main Methods:

• A progressive search algorithm is proposed operating within the Cartesian coordinate system.
• The method utilizes a search circle model, initiating with the least-square center for progressive refinement.
• The algorithm iteratively approaches the minimum zone circle center to determine roundness error.

Main Results:

• The progressive search method demonstrates effectiveness and reliability in roundness error evaluation.
• The method achieves accurate assessment of roundness errors at sub-micrometer and nanometer scales.
• Experiments confirm rapid evaluation, completing within 0.1 seconds and requiring no more than 10 iterations.

Conclusions:

• The proposed progressive search method is a viable and efficient solution for evaluating roundness errors in micro-machining.
• This technique meets the critical demands for high-precision verification of nanometer-level tolerances.
• The method contributes to guaranteeing the overall quality and precision of micro-machined parts.