Arc outer gear and rectilinear teeth inner grinding for hard tooth-face of annular gear pair can make gear.It will cause the error of matching if arc teeth replace the outer gear of matching internal gear pair in rectilinear teeth profile
the calculating of the error will be inferred.The minima of the error of matching is taken for the objective function
and the teeth profile of rectilinear-arc teeth profile in annular gear pair is optimized
the error of teeth profile only is several micron.