Spiral bevel gears have the advantages of stable transmission, strong bearing capacity, high transmission efficiency, stable transmission ratio and low noise during operation, and are widely used in mechanical fields such as automobiles, aviation, ships, mining, etc., and their greatest advantage is that they have inclined curved teeth. In the transmission process, the gear tooth contact is gradually sliding from one end to the other along the arc tooth line, and at the same time, there are many pairs of gear teeth engaged, making the spiral bevel gear transmission much more stable than other intersecting shaft transmission (such as straight bevel gear transmission).
However, in the operation process of spiral bevel gears, they are often affected by many factors, such as installation error, meshing stiffness and backlash, which make the teeth of spiral bevel gears fail to reach the expected meshing position during meshing, causing vibration of spiral bevel gears and seriously reducing their service life. Therefore, it is necessary to find an optimal design method to make spiral bevel gears insensitive to the above factors, and to improve their reliability and service life to a certain extent.
A large number of studies have shown that the life of gears is closely related to the accuracy, and the requirements of the accuracy grade on the life are nonlinear, and the increase of the accuracy will make the processing cost higher. Therefore, on the one hand, the finished product should be made insensitive to errors, and on the other hand, the cost can be reduced without affecting the requirements of the use characteristics. Japanese quality management expert Dr. Akira Taguchi proposed a robust design method [4], which is a new technology of quality management and a new scientific and effective robust optimization design method. Robust optimization design can generally be divided into two categories: one is the traditional robust design method, which is based on empirical or semi-empirical design, mainly including Taguchi robust design method, response surface method, double response surface method, generalized linear model method, etc; The other is the method of combining engineering model with optimization technology to carry out optimization design, mainly including tolerance polyhedron method, sensitivity method, variation transfer method, random model method and hybrid robust design method based on cost-quality model.
At present, some scholars have adopted the robust optimization design method to optimize the spiral bevel gear. Although these methods provide a good theoretical basis and method approach for the robust optimization design of spiral bevel gears to a certain extent, the scattered and indirect analysis limitations make these studies on the design of spiral bevel gears at the level of qualitative reference. The research methods and results reflect the objective reality and need further exploration and verification.
Based on the introduction of the robust optimization design method, this paper summarizes the work done by domestic and foreign scholars on the robust optimization design of spiral bevel gears, summarizes the methods and ideas of the robust optimization design of spiral bevel gears, and looks forward to the work that needs to be further developed in the optimization design of spiral bevel gears in the future, in order to provide reference and reference for China to establish a relatively perfect robust optimization design system of aviation spiral bevel gears.