Due to the large number of moving axes of spiral bevel gear milling machine, there may be errors in the adjustment of machine tool manufacturing, the calibration of machine tool center and the measurement and installation of tool tooling in machining. The existence of these errors will make the actual accurate machining adjustment parameters unknown, and cause the actual machined tooth surface shape to deviate from the theoretical tooth shape.
Therefore, the actual contact state will be different from the theoretical design. Because there are many cutting adjustment parameters that affect the change of tooth profile, and the influence law of these parameter combinations on tooth profile is very complex, it is difficult to correct the tooth profile deviation accurately. In the past production practice, in order to correct the tooth profile deviation and obtain the required contact area shape, the adjuster often needs to repeatedly correct the machine tool adjustment parameters and try cutting based on experience, and then judge whether the correction is correct through the actual contact area shape results of rolling inspection. Because the accurate contact area cannot be obtained by naked eye observation, manual reverse adjustment can only obtain similar contact area shape, and can not better ensure that the actual tooth shape is consistent with the theoretical design tooth shape. It is more difficult to correct the tooth profile deviation of spiral bevel gear in face hobbing, and the contact state of working face and non working face needs to be considered at the same time. With the solution of measuring the tooth profile deviation of end face hobbing spiral bevel gear on the domestic spiral bevel gear measuring center, the accurate reverse calculation of cutting adjustment parameters and the correction of tooth profile deviation become possible. Here, we use the tooth profile measurement results and adopt the tooth profile deviation optimization method with tooth root depth control to reverse calculate the cutting adjustment parameters, which can obtain a better correction effect.
The tooth surface geometry of spiral bevel gear is completely determined by the cutting tool and cutting adjustment parameters used in cutting processing. The diameter vector RAC of any point on the tooth surface can be expressed as a function of cutting tool parameters and cutting adjustment parameters. Therefore, the fundamental problem of tooth profile deviation correction is to obtain a set of tool and cutting adjustment parameters, so that the theoretical tooth surface calculated and determined by this set of parameters is consistent with the measured actual tooth surface. The actual tooth surface measured on the measuring center of spiral bevel gear is generally 9 x 5 grid point coordinates. Therefore, the practical problem is to ensure that the tooth surface formed by the reverse parameter coincides with the measuring tooth surface at the measuring grid point, that is:
