Using the spatial theory of angular inversion

relation of inversion between the projection of line in a space and its coordinate plane and the crank angle of coordinate axes is derived.Based on the planar hinge four-bar linkage

and hinge hole axis angle error both inside and vertical to the planar linkage

a model is created to analyze the influence degree with a single factor error of shaft angle of hinge hole

with mathematical expression evaluate the influence degree

and the theoretical and mathematical basis for the design of self-adjusting structure is provided.Computational examples also prove that the analysis is correct and effective.