Research status of spiral bevel gear and hypoid gear

China studied the technology of spiral bevel gear a long time ago. At first, it organized a group of mathematicians to explore and analyze the mathematical basic theory of spiral bevel gear design in the meshing principle of spiral bevel gear. Finally, it conducted special research on the complete set of technology of spiral bevel gear of Gleason company, and achieved certain results. Professor Fang Zongde introduced the local synthesis method proposed by Professor Li Tewen in his book “meshing principle of spiral bevel gears” to China and popularized it.

Nowadays, the design and calculation of spiral bevel gears largely depend on the local synthesis method. On the basis of this method, Professor Fang Zongde also proposed to design the primary and secondary contact parameters of the tooth surface in advance. Through this method, the tooth surface contact area and transmission error of gear pair meshing are considered, so that the design theory of point meshing tooth surface is more comprehensive and complete. By studying the basic geometric parameters of spiral bevel gear, Zheng Changqi deduced various formulas of TCA analysis. This paper expounds the method of comprehensively using the principle of local conjugate of tooth surface when determining the contact mark of tooth surface, the adjustment of small wheel installation distance and offset distance, and the motion curve between gear pairs.

In his book design and machining of spiral bevel gears, Zeng Tao studied the method of Gleason company for machining spiral bevel gears, and described this method in detail. Wu Xutang, Wang Xiaochun and others studied the theoretical basis of machining hypoid gears by tool inclination method and denaturation method and the calculation method of machining parameters of machine tools, and achieved satisfactory results. Through the analysis and Research on the displacement design idea of cylindrical gear, Professor Liang Guiming puts forward the displacement design idea of spiral bevel gear, that is, the non-zero displacement of spiral bevel gear.

Professor Wan Xiaoli designed a hypoid gear with non-zero displacement method, and successfully machined a pair of hypoid gears with non-zero displacement. In order to increase the coincidence degree of gears, Yang Hongbin, Zhou Yanwei and Deng Xiaozhong put forward the method of increasing the tooth height of hypoid gears, which improves the overall meshing performance of hypoid gears. The above research has laid a solid foundation for the development of hypoid tooth meshing theory and transmission technology.

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