Spatial straightness error assessment based on moment of inertia algorithm

WANG Feng1，2, ZHAO Xiao-wei1，2, YU Da-guo1，2
(1.School of Mechanical Engineering, North University of China, Taiyuan 030051,China;
2.Shanxi Deep Hole Processing Engineering Technology Research Center, Taiyuan 030051, China)

Abstract: Aiming at the problem of spatial straightness error assessment, experimental study on the selection of the baseline for the spatial straightness error assessment, moment of inertia, coordinate conversion, and projetion, minimum coverage circle, etc. Introducing mathematical model of spatial straightness measurement data，the calculation of the moment of inertia, discrete point coordinate conversion, and projection，minimum coverage circle programming，an algorithm based on the moment of inertia was proposed, so that the discrete points were projected onto the projection plane perpendicular to the main axis of inertia and the spatial straightness error was calculated by MATLAB software，the calculated results were compared with those of the other algorithms. The results show that this algorithm has high precision，and can obtain spatial straightness error with high accuracy, and can realize efficient spatial straightness error assessment. It is suitable for high precision occasions, and has certain practical value of engineering.

Key words: spatial straightness; moment of inertia; minimal covering circle; deep hole detection