An Analytical Expression for the Time-Varying Contact Length in Perfect Cylindrical Gears: Some Possible Applications in Gear Dynamics
An Analytical Expression for the Time-Varying Contact Length in Perfect Cylindrical Gears: Some Possible Applications in Gear Dynamics
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DOI：
10.1115/1.2826933
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发表时间：
1996-12
影响因子：
3.3
通讯作者：
M. Maatar;P. Velex
中科院分区：
文献类型：
--
作者：
M. Maatar;P. Velex
本文提出了完美渐开线正齿轮和斜齿轮之间随时间变化的接触长度的解析表达式。结果表明，接触长度可以表示为傅里叶级数，其数值展开式与基于接触长度离散化的数值时间步模拟结果密切相关。最后，提出了齿轮动力学中一些可能的应用示例。
This paper presents an analytical expression of the time-varying contact length between perfect involute spur and helical gears. It is shown that contact lengths can be expressed as Fourier series whose numerical expansions correlate very well with the results of numerical time-step simulations based on contact length discretization. Finally, some possible examples of application in gear dynamics are suggested.