Analysis of Basic Data of Unstable Problems of Coordinate Measurements of Geometrical Parameters of Products

Abstract

The conditions for the appearance of instability have been analyzed in solving typical problems of coordinate measurements of the geometric parameters of products. The connection is shown between unstable problems of coordinate measurements and ill-conditioned systems of linear equations, and also with the parameters of the geometric elements that show signs of degeneracy. Formulas have been derived for estimating measurement error of the parameters of a circle, coaxiality of cylinders, and parallelism of planes. It has been established that the experimental results are consistent with the theoretical ones.