The geometric errors of the servo machine have important influence on the surface morphology of workpieces. Based on the theory of multi-body systems

Firstly

this paper used the low body array to describe the topological structure of the servo system. Then the homoogeneous transformation matrix between the adjacent bodies is explored to establish the geometric error model. Secondly

Renishaw laser measurement system is used to identify positioning error

straightness error

pitch error

yaw error and perpendicularity errors between two axes. The error values are plugged into model to get the geometric synthesis error of machine tool. In the end

three different profile workpieces

which are convex cone

plane and spherical surface workpiece

are selected as the experimental samples to verify error model in principle. The results show that surface accuracy of three kinds of compensated workpieces improve by 25%

and the compensation method can be used for controlling servo machining platform geometric error.