| The error of the spiral bevel gears is extremely sensitive to the manufacture andthe installation error, and the adjustment of the machining depends on the experienceof the operator and the machining accuracy is low. The existing research on spiralbevel gear tooth surface modification, only adjust the cutter grinding, to reduce noise,improve the contact area, improve the stability of the tooth, but did not solve the toothto the line of problems caused by the unequal helix angle. Some scholars put forwardby other curve as the tooth profile curve of spiral bevel gear, and the logarithmicspiral line has the characteristics of helix angle is equal everywhere, to solve thepower transmission efficiency of different mesh point is the spiral bevel gear drive atthe helix angle are not equal, the low friction and wear problem is serious, thetransmission is not smooth, the meshing of a pair of meshing of logarithmic spiralbevel gear is more stable, lower noise, higher load capacity, longer service life.According to the development of CNC gear hobbing machine, the logarithmicspiral bevel gear hobbing processing is feasible. Through the back cone infinitedifferential theory, differential equations of motion of the differential cross section foreach helical gear hobbing movement. Then the equation into the bevel geardifferential equations of motion are in motion, moving and tooth to the line, and thencombined with the motion equation of conical logarithm spiral equation oflogarithmic spiral bevel gear machine tool at.Based on the variable modulus hob is analyzed briefly, describes the workingprinciple of variable modulus hob. The hob design and relevant books and papers,summarized combining with the experience formula, the influence of parameters onthe actual processing of the hob, hob, diameter, angle of the head number, slot numberand length were analyzed. Provide a basis for selection of the system for the futureselection of hob machining. Finally, through the study of the generating surface of cutter involute helicoid,the hob cutter equations, then calculate the normal equation. The establishment oflogarithmic spiral bevel gear hobbing processing corresponding coordinate system,and obtain the transformation matrix between the coordinate system. Then, from theprevious research in motion and relative motion speed1gear hob and2, into the twoconditions and normal equation of meshing equations, using the method of variablesubstitution can be obtained to meet the meshing equation, then through coordinatetransform matrix before between the meshing equation and the equation of face gear2tooth. |
