Abstract

An analytical method for determining the compliance of gear teeth, the load distribution factors, and the bending stresses is proposed. To solve the problem about the stress–strain state of the gear tooth, the latter is represented as a wedge with the angle of the roll corresponding to the pressure angle of the involute tooth. The mathematical model of the loaded tooth is given in the form of an inhomogeneous Volterra integral equation with the kernel depending on the difference in the arguments solved by the method of operational calculus. Using the results of the study in strength evaluation of gear trains allows more accurate determination of their loading capacity.

中文翻译：

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研究齿轮齿的应力-应变状态

摘要

提出了一种确定轮齿柔量、载荷分布因子和弯曲应力的分析方法。为了解决轮齿应力应变状态的问题，轮齿被表示为楔形，其滚动角对应于渐开线齿的压力角。加载牙齿的数学模型以非齐次 Volterra 积分方程的形式给出，其内核取决于通过运算微积分方法求解的参数的差异。在齿轮系强度评估中使用研究结果可以更准确地确定其负载能力。