Estimation Methods of Roundness Error Based on Minimum Zone Concept : Improvement of Accuracy by Correcting Form Distortion due to Eccentricity

Abstract

Approximate Correction Method (ACM) and Exact Correction Method (ECM) are proposed to remove the form distortion caused by the eccentricity of a measured part when estimating the roundness error on the basis of Minimum Zone concept. Numerical tests and measurements are performed using BFGS formula for optimization. As a result, it is found that ACM is a practical method from the viewpoint of both computation time and accuracy, and that ECM is an effective one for measuring roundness error with extremely high accuracy for any eccentricity although a little more time is taken.