A New Approach to Flat Form Error and Contact Error Analysis

Abstract

A new model based on multi-scale asperities is established in order to accurately describe flat profile error. After measuring the surface, surface points are projected to each cross-section according to three-dimensional coordinates. Graham’s Scan algorithm is used to search border points of each data set. Then minimum circum-circle is calculated and optimized. Asperity’s radius of curvature and coordinates is calculated by relationship of circle radius and section’s interval. In the assembly process, it is primarily that the peaks on surface actually contact. The contact error plane equation is determined by three asperities which can stability support the other part, so three proper asperities should be searched out firstly. Finally, experimental results show that this model can be applied to calculated contact error.