In this paper, proved that the Perpendicularity Error in as a translation error element modeling and as the angle error element modeling on the error precision of the model and modeling of complex different influence degree. For multi axis machine tools, from the complexity of angle error modeling process, as modeling complexity is less than the translational error as the angle error the modeling, error of perpendicularity accumulate, distinguish the complexity is more obvious, mainly the additional angle error matrix in the modeling the matrix. Compensation from the point of view, this study shows that, for only need displacement compensation of the machine tool, the compensation effect of two kinds of the modeling results are the same, but for multi axis machine tool needs angle compensation, compensation matrix as the angle error the modeling accuracy obtained is higher than that of as translational displacement. Comprehensive analysis, this paper puts forward in multi axis machine tool error synthesis the modeling priority when the verticality error as a translation error the modeling.
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