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长期来,计算齿轮轮齿弯曲应用的方法主要是应用悬臂梁理论。这种方法的精度由引入光弹和应变片实验得到的各种修正系数而得到提高。但是,对于螺旋角较大或齿形较复杂的轮齿,由于悬臂梁法的力学模型过于近似而计算误差较大。因此,随着数值解法的发展,人们开始采用有限元法与边界积分法来分析轮齿应力,国内外有不少文章发表,但多数是对各种齿形的圆柱齿轮,而对于锥齿轮,特别是弧齿和准双曲线这类曲齿的,有关这方面的文章则不多见,国外仅有少量文献发表。
For a long time, the main method to calculate the gear tooth bending application is the cantilever beam theory. The accuracy of this method is improved by introducing various correction factors from photoelastic and strain gage experiments. However, for the gear with larger helix angle or more tooth profile, the calculation error is larger due to the too close mechanical model of the cantilever method. Therefore, with the development of numerical solution, people began to use the finite element method and the boundary integral method to analyze the gear tooth stress, many articles published at home and abroad, but most of them are all kinds of tooth-shaped cylindrical gear, and for the bevel gear, In particular, such as arc teeth and quasi-hyperbolic such song, articles on this are rare, only a small amount of foreign literature published.