The Theory Study Of Small-modulus Spiral Bevel Gears By Numerical Control Milling Tooth

In bevel gears of transmitting motion between intersecting axes, the spiral bevel gears have quite a few merits such as the big overlap ratio the high loading capacity the high transmitting efficiency the stability the small sensitivity toward setting error the small noises, and so on. So the bevel gears are widely used in engineering. Small-modulus spiral bevel gears is key accessory of mechanical production which is primarily applied to sewing equipment electromotion tools mechanic meter and automobile, etc. As a big manufacture country of sewing equipment and electromotion, our country has great demand for small-modulus spiral bevel gears. At present, the actual manufacture state of our country for small-modulus spiral bevel gears is as following: Firstly, the manufacturing capability is badly insufficiency. The import amount of small-modulus spiral bevel gears reachs above ten million set. Secondly, Small-modulus spiral bevel gears made in our country can't meet use demands in high speed high demands mechanical production because of lower precision. Whereas this instance, it is of much urgency and importance to study and empolder the numerical control milling machine tool of spiral bevel gears with high speed high precision high efficiency, which do our country paddling herself 's own canoe.This dissertation has drawn from the project: "the Numerical Control Milling Machine Tool of Spiral Bevel Gears", which is the tackle key problem of science and technology office of Jiangsu province in 2003(Item number: BE2003031). The aim of this dissertation is to provide theory foundation for working out numerical control procedure of small-modulus spiral bevel gears numerical control milling machine tool by analyzing and studying the numerical control machining theories of small-modulus spiral bevel gears.The main work of this dissertation is as follows:The meshing theory and the gear cutting theory of spiral bevel gears are presented, including the conception of the imaginary crown generating gear andthe imaginary flat generating gear.The structure and movement of traditional mechanical hypoid generator are analyzed, on the basic of which, the machine tool structure and the mathematical models of numerical control hypoid generator are established. The tooth flank equation of small-modulus spiral bevel gears by numerical control hypoid generator is as well established under rectangular coordinate.According to the machining methods of small-modulus spiral bevel gears, adjusts the parameters of machine tools. The mathematical calculational formulas of machine tools turning angle and tooth-leap number are deduced in theory.The generating start position and end position of skiving cutter during the small-modulus spiral bevel gears cutting are confirmed.Through example calculation to a pair of small-modulus spiral bevel gears, machining and adjustment flowsheet of big and small gear are introduced. At last this dissertation simulates the tooth flanks by matlab tool, thereby validating correctness of mathematical models and tooth flank equation.