Abstract
The accurate length change of the double ball bar (DBB) is very important for the quantitative calculation of geometric errors. The installation error of the DBB can seriously affect the length change, which was usually considered as the eccentricities and removed mistakenly. This paper proposed a removal method for the installation error in the circular test. Firstly, the comprehensive length change model was established with pre-fitting the geometric errors. Secondly, the Fourier transformation was carried out to solve the installation errors. Meanwhile, the quantitative relationship between the eccentricity and the installation error is built. Then, the essential errors of the proposed methods were analyzed, and the simulation results indicated that the proposed method can achieve a good removal accuracy with an appropriate radius difference. Finally, two circular tests with a radius of 100 mm and 112.936 mm were carried out, and installation error was separated from the geometric errors. As the result, the installation errors were obtained as − 13.9 μm in X direction and 37.7 μm in Y direction, and the amplitude of the length change of the DBB decreases from 69.0 to 21.5 μm, which shows the great effect of the installation error.
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