Calculation of Elliptic Sphere Profile Error Using the Combination of the Differential Geometry Algorithm and the Particle Swarm Optimization Algorithm
ZHANG Lei1,ZHANG Zuo-ying1,ZHANG Zhi-sheng2
1.Mechanical & Electrical Engineering School, Xuzhou Institute of Technology, Xuzhou, Jiangsu 221018, China;
2.Mechanical Engineering School, Southeast University, Nanjing, Jiangsu 210089, China
Abstract：To address the issue of profile error calculation for an elliptic sphere, a mathematical model that transfers the discussion from a minimal distance calculation to a sphere center coordinates searching of an ideal ellipsoid was proposed based on the differential geometry algorithm (DGA) and the minimum zone principle. The proposed model was answered by the particle swarm optimization (PSO) algorithm. A numerical example demonstrated the effectiveness of the proposed method without counting the instrument’s measurement error.
2015, Vol. 36 
