Coaxiality problem of processing gear shaping machine and long arbor

When the factory is working on the loader lands, because the internal tooth depth of the machine is large and the length of the shank is not enough, the shank must be lengthened according to the method provided by the gear inserter. The lengthened shank is as shown in the figure: after the installation is completed, the outer circle and the plane runout of the left end are not more than 0.01 mm, and the surface roughness is required to be between R_a3.2 and 12.5 μm. To analyze the requirements of the parts, we decided to use lathe processing.