Based on the forming principle of gear, Yu Xiaoning and others designed the tooth profile of milling cutter through the equivalent tooth profile curve equation, fitted the tooth profile equation of milling cutter with polynomial method and double arc method, and then optimized the tooth profile of milling cutter. Fan Liangcheng improved y7132 gear grinding machine, numerically controlled the gear grinding machine, deduced the equation of generating method for machining spur bevel gear according to the working principle of flat top gear shaving, and used the gear grinding machine to process spur bevel gear. Shi Yongge and others successfully machined spur bevel gears by “one tool forming method” on the milling machine. Combined with multiple groups of experimental data, the error of cutting angle and the causes of error were analyzed, and the original empirical formula was modified. Lin Jing solved the direction angle and normal length of the normal vector of the spur bevel gear surface, and directly solved the curve equation of its tooth surface. This tooth surface solution method brings a new method for the tooth surface design of spur bevel gear.
Lou Jiajia deduces the tooth surface equation after modification according to the characteristics of machining spur bevel gear by generating method and gear meshing principle, compiles the TCA program of modified tooth surface in ideal state and with installation error by using MATLAB software, makes finite element static contact analysis on the tooth surface of spur bevel gear in these two cases, and discusses the influence of installation error of spur bevel gear on modified tooth surface. Li Xiao and others measured the coordinate values of each point on the tooth surface of the machined spur bevel gear. According to the measured point coordinate values, the tooth surface of the gear was fitted by surface reconstruction technology. On the basis of fitting the tooth surface, the accurate finite element model of spur bevel gear was established by grid construction technology, and the static finite element analysis of its tooth surface was carried out.
Cao Xuemei et al. Established the mathematical model of spur bevel gear generation gear shaping, accurately calculated the point coordinates of the tooth surface through the mathematical model, mapped the point coordinates to the tooth surface of the gear after meshing on the projection surface, and constructed the hexahedral eight node element. The method of accurately establishing the mapping grid of spur bevel gear was studied.
The above research on spur bevel gears is based on overall machining, and there is no report on the research of extra large spur bevel gears, especially split extra large spur bevel gears. At present, the finite element analysis of spur bevel gear is mainly to study the static or dynamic contact stress of gear, so as to reduce the transmission error of gear. The research on the bending deformation of spur bevel gear after tooth cutting will improve the existing research.