Purpose

The purpose of this paper is to investigate the dynamic responses of a spur gear pair with unloaded static transmission error (STE) excitation numerically and experimentally and the influences of the system factors including mesh stiffness, error excitation and torque on the dynamic transmission error (DTE).

Design/methodology/approach

A simple lumped parameters dynamic model of a gear pair considering time-varying mesh stiffness, backlash and unloaded STE excitation is developed. The STE is calculated from the measured tooth profile deviation under the unloaded condition. A four-square gear test rig is designed to measure and analyze the DTE and vibration responses of the gear pair. The dynamic responses of the gear transmission are studied numerically and experimentally.

Findings

The predicted numerical DTE matches well with the experimental results. When the real unloaded STE excitation without any approximation is used, the dynamic response is dominated by the mesh frequency and its high order harmonic components, which may not be result caused by the assembling error. The sub-harmonic and super-harmonic resonant behaviors are excited because of the high order harmonic components of STE. It will not certainly prevent the separations of mesh teeth when the gear pair is under the condition of high speed and heavy load.

Originality/value

This study helps to improve the modeling method of the dynamic analysis of spur gear transmission and provide some reference for the understanding of the influence of mesh stiffness, STE excitation and system torque on the vibration behaviors.

中文翻译：

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空载静传动误差正齿轮副的数值与试验研究

目的

本文的目的是通过数值和实验研究具有空载静态传动误差 (STE) 激励的正齿轮副的动态响应，以及系统因素包括啮合刚度、误差激励和扭矩对动态传动误差 (DTE) 的影响。 ）。

设计/方法/方法

开发了一个考虑时变啮合刚度、齿隙和空载 STE 激励的齿轮副的简单集总参数动力学模型。STE 是根据空载条件下测得的齿廓偏差计算得出的。四方齿轮试验台旨在测量和分析齿轮副的 DTE 和振动响应。齿轮传动的动态响应进行了数值和实验研究。

发现

预测的数值 DTE 与实验结果匹配良好。当使用没有任何近似值的真实卸载 STE 激励时，动态响应由网格频率及其高次谐波分量主导，这可能不是由装配误差引起的。由于 STE 的高次谐波分量，次谐波和超谐波谐振行为被激发。当齿轮副在高速重载条件下，它不一定能防止啮合齿的分离。

原创性/价值

本研究有助于改进正齿轮传动动力学分析的建模方法，为理解啮合刚度、STE激励和系统扭矩对振动行为的影响提供一定的参考。