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本文根据弹性力学的极小势能原理,分析导出简便实用的轮齿弹性变形表达式。在数值求解轮齿弹性变形时,用共轭曲面原理、变换矩阵法求解Hofer30°危险截面,对齿形不作任何简化,大幅度提高了用经典弹性力学方法计算轮齿弹性变形的精度。本文考虑轮齿误差,轮齿弹性变形,轮齿修形之间的协调条件,导出了双齿对啮合时载荷分配率、从动轮滞后角的函数表达式。导出了设定工况下,轮齿修形改善齿轮啮合特性的基本原理。
In this paper, according to the principle of minimum potential of elasticity, the expression of simple and practical elastic deformation of gear is derived. In the numerical solution of the gear tooth elastic deformation, the conjugate surface principle and the transformation matrix method are used to solve the Hofer 30 ° dangerous cross section without any simplification of the tooth shape. The accuracy of the elastic deformation of the gear tooth is greatly improved by the classical elastic mechanics method. In this paper, we consider the gear tooth error, gear tooth elastic deformation, gear tooth coordination between the conditions, derived when the bidentate meshing load distribution rate, the passive wheel lag angle function expression. The basic principle of improving the meshing characteristics of gears under the set condition is derived.