# Development of spiral bevel gear machining method in China

In China, by analyzing the machining principle of spiral bevel gear and the structure and motion relationship of machining machine tool, and based on the spatial meshing theory, Xu Yanwei and others established the blade cone equation and meshing equation, and deduced the calculation method of motion parameters of spiral bevel gear NC machine tool by using the principle of graphic transformation. Based on VERICUT software platform, The NC machine model of spiral bevel gear and the three-dimensional virtual simulation gear machining model of spiral bevel gear are established, and the virtual simulation gear machining is carried out in VERICUT environment.

According to the machining principle of spiral bevel gear and gear meshing theory, Tang Jinyuan and others deduced the generated tooth surface equations of large wheel and small wheel in detail from the cutter head parameters. Wang Xiaochun et al. Gave the analysis method of the third-order contact characteristics of the contracted Tooth Curved bevel gear, and gave the calculation method of optimizing the tooth cutting scheme by using the adjustment means of the existing process system. Based on the NC machining principle of spiral bevel gear, Liu Kai and others established the NC generating mathematical model of spiral bevel gear tooth surface which can be used to determine the relevant parameters of NC gear machining according to the generating motion between the forming wheel and the workpiece gear, discussed the contact conditions that need to be met in gear cutting machining, and put forward the trajectory planning method of spiral bevel gear NC machining.

Cao Kang et al. Studied the sensitivity relationship between the tooth surface error of spiral bevel gear pinion and the adjustment parameter error, obtained the adjustment parameters that have a great impact on the tooth surface error based on the SFT machining method, and proposed the minimum parameter correction method of tooth surface error. Using the principle of generating method, Li Zhaowen et al. Simulated the actual machining process of spiral bevel gear, took the intersection of the straight line where the cutting edges of the front and rear teeth were located as the tooth surface point, and deduced the mathematical model of spiral bevel gear. Based on their nonlinear finite element contact analysis model, Li Yuan et al. Simulated the continuous dynamic meshing process of spiral bevel gear pair in one meshing cycle, and studied the dynamic meshing tooth surface contact and tooth root bending fatigue properties of teeth.

Based on the contact analysis of the bearing tooth surface of the spiral bevel gear, Wang Yanzhong and others analyzed the influence of the cutting parameters adjusted by the machine tool on the elastohydrodynamic lubrication characteristics of the spiral bevel gear, deduced the relationship between the oil film thickness and the cutting parameters adjusted by the machine tool, quantitatively analyzed the relationship between the oil film and the cutting parameters adjusted by the machine tool, and put forward the correction method of the adjusting parameters of the machine tool under the condition of given oil film thickness.

Aiming at the deficiency that the current spiral bevel gear technology can not make full use of the universal motion function of NC machine tools to ensure that the point meshing tooth surface obtains the predetermined meshing characteristics in the whole transmission process, Zhou kaihong and others proposed a new method to process the point meshing tooth surface according to the predetermined tooth surface structure requirements on the free form five axis linkage NC machine tool, The tooth surface processed by the new method has second-order contact with the target tooth surface along the predetermined contact trace, which fully meets the meshing characteristics of the predetermined point meshing tooth surface required by the design. In other areas of the tooth surface, the tooth surface developed by this method can approach the target tooth surface of gear processing with the minimum deviation.

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