A novel evaluation method of roundness error based on equilateral polygon search algorithm

Abstract

For the evaluation of roundness error, a novel roundness error evaluation method based on the equilateral polygon search algorithm is introduced. The principle and the calculation steps of the evaluation method for roundness error are described in detail. The proposed method is that a series of certain length of equilateral polygons are set with the centre of the least square circle of the measured roundness firstly, than the radius values of all the measured points are calculated using every vertex of the equilateral polygon as the new centre. Roundness error values according to minimum circumscribed circle method, maximum inscribed circle method, and minimum zone method according to relevant standards are obtained through comparison, judgment and reinvent of equilateral polygons. Simulation and experiment results indicate that the evaluation of roundness error can be satisfied by the evaluation method of roundness error based on equilateral polygon search algorithm.