Calculation simulation of machining parameters and gear-cutting test on spiral bevel gears'teeth in small number based on curved-surface synthesis method
The transmission of the gear with a small number of teeth and high reduction ratio has the advantages of small size and light weight.In this article,according to the principle of comprehensive displacement and pitch cone external meshing,a pair of arc contoured bevel gears with high reduction ratio are designed,the related geometric constraints are given,and the tooth sur-face equations for the large gear and the small gear are deduced.The large gear is processed by means of the forming method,while the small gear is processed by means of the single-sided generating method.In order to make up for the insufficient curva-ture of the large gear's tooth profile,the small gear's cutter teeth are modified with a circular edge,and the processing parame-ters of the small gear are optimized with the help of the surface synthesis method.By setting up the ease-off difference tooth sur-face,the tooth surface's modification gradient,the transmission error,the contact path and the contact line are simulated.The tests of gear cutting and rolling inspection have verified that both the geometric design of the spiral bevel gears with high reduction ratio and the method of cutter-head modification and processing are feasible.
small-gear modificationcomprehensive displacementmeshing simulationprocessing parametergear-cutting test