A novel minimum zone method for cylindricity error evaluation based on rotation projection method and adaptive particle swarm optimisation

Abstract

To realize an accurate and rapid evaluation of cylindricity error, a novel minimum zone algorithm based on rotation projection method and adaptive particle swarm optimisation (RPM–APSO) is proposed. The principle of this method is to firstly transform the three-dimensional cylindrical coordinates into two-dimensional circular coordinates via rotation and projection, and then calculate the minimum zone roundness error that is equivalent to the minimum zone cylindricity error. APSO algorithm is adopted twice to determine the optimal rotation angles and accurate roundness error of the projected coordinates respectively. Owing to the dimensionality reduction, the calculation difficulty is reduced and the computational efficiency is substantially improved. The effectiveness and accuracy of the proposed algorithm are verified by constructing two groups of cylindrical simulation datasets. Compared with other five intelligent optimisation algorithms and the results of the published literature, the RPM–APSO algorithm is proved to be superior in terms of computational accuracy and convergence speed, which can provide an accurate, efficient and reliable method for the cylindricity error evaluation of micro-nano coordinate measuring machine.