| Spiral bevel gears are used to transmit gyratory motion and power between the crossing axles. They are widely used in automobiles, tractors, locomotives, planes, naval vessels, lathes, etc.. At the present time, there is great gap in the manufacturing precision of spiral bevel gear in china in contrast to other countries. Spiral bevel gears which are highly required for vibration, noise, stability and are used in the cycloid drive at a great rate are generally imported.Modern industry is developing for rapid speed, high precision and dependability. There is a growing need for high precision spiral bevel gear. Therefore, it is particularly important and necessary for researching the influential factors of manufacturing spiral bevel gear to improve the precision of the spiral bevel profile surface.Through surveying and studying and consulting a great amount of both home and abroad documentations, it has found that processing quality of the spiral bevel gear is judged by the stability of moving and the contact zone (contact trace)of tooth surface through the driving motion of the gear pair. Both home and abroad researchers and specialists have made great amounts of researches around the controlling of contact zone and got many fruits. But ,in the research of the controlling of contact zone, theproblem of geometrical precision of the gear profile surface is often ignored or study aiming at the theory tooth surface. In fact, there is to some certain different between the theory tooth surface and the reality tooth surface which is got through processing. Therefore, when the lathe regulation is done and the spiral bevel gear is processed according to the method of the controlling of contact zone which is studied, the perfect contact zone is not often gained. Or, in order to get the perfect contact zone, many trial cuts and the lathe regulation are needed, wasting time and force.Therefore, this paper made a study of the influence on the lathe regulation error to the geometrical precision of the spiral bevel tooth surface. As a result, the influential law of the lathe regulation error to the geometrical precision of the spiral bevel tooth surface and the mathematical modeling of error compensation of the lathe regulation was established. It supplies the scientific theory guide for the lathe regulation and the error compensation of the lathe regulation in processing gear milling. It has the important theory value and the engineering significance to improve the quality of the spiral bevel. It is also useful for the spiral bevel to improve and spread it's application. The following points are the main work and innovations in this paper.1. According to process and design principle of spiral bevel gear, mesh theory of gear and kinematics theory, theory tooth surface equation was established. On the base of that, error tooth surface equation of the spiral bevel gear has been deduced. The mathematical modeling was supplied to analyze the influence of the lathe regulation error to the precision of the spiral bevel profile surface.2. The theory point coordinates were extracted from the theory tooth surface of the spiral bevel gear through two methods. One is that the theory point coordinates were extracted from the theory tooth surface of the spiral bevel gear by resolving the theory tooth surface equation. The other is that through developing Autocad2002 once more by Visual basic6.0 and developing the simulation program of processing gear milling, the theory point coordinate was extracted from the theory tooth surface which was obtained through simulating.3. The coordinates of graticule mesh nodes which were gained through...
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