Digitized conjugate tooth surface model of spiral bevel gear and its simulation

The machining coordinate system of spiral bevel gear milling machine tool is established based on the principle of solving conjugate surfaces and the machining mechanism of spiral bevel gear. The digitized conjugate tooth surface model of spiral bevel gear also is established with the rotary projection principle, the spatial coordinate transformation principle, and solving the meshing equation of spiral bevel gears. The three dimensional coordinate value of points on the tooth surfaces of one pair of given spiral bevel gears is calculated with the sequential quadratic programming method and mixed integer optimization with the optimization design software, iSIGHT. Finally, the three dimensional model of tooth surface of the bull spiral bevel gear also are simulated using the Non-Uniform Rational B-Splines method with the three dimensional design software, Pro/ENGINEER, and the simulation result can meets the desired design goal.