Tooth friction force between the mesh teeth is a non-negligible excitation source for gear vibration and noise. However, the accurate measurement of the tooth friction force in mesh is very difficult, especially for helical gears. In this paper, a method for measuring the tooth friction force in helical gears is proposed by using a laser displacement sensor. The tooth friction force is obtained based on the bending deformation and the bending stiffness of the output shaft in the direction of the friction force. System errors of the gearbox are minimized by preload and locking device, and the measurement error is compensated according to the geometric positional relationship of the output shaft with and without the action of the mesh force. Experimental measurement is carried out by using an example of helical gears and compared with theoretical model. Experimental results have been shown that the magnitude and trend of the tooth friction force by measurement are basically the same with the theoretical calculations, which illustrate the effectiveness of the measurement method. It is also observed that both the tooth friction forces from the measurement and the theoretical model change direction twice in one mesh circle.

啮合齿之间的齿摩擦力是齿轮振动和噪声不可忽略的激励源。然而，特别是对于斜齿轮，很难精确地测量啮合齿中的齿摩擦力。本文提出了一种利用激光位移传感器来测量斜齿轮齿摩擦力的方法。齿摩擦力是基于输出轴在摩擦力方向上的弯曲变形和弯曲刚度而获得的。齿轮箱的系统误差通过预紧力和锁定装置最小化，并且在有或没有啮合力的情况下，根据输出轴的几何位置关系补偿测量误差。以斜齿轮为例进行实验测量，并与理论模型进行比较。实验结果表明，通过测量得到的牙齿摩擦力的大小和趋势与理论计算基本相同，说明了该测量方法的有效性。还可以观察到，来自测量的齿摩擦力和理论模型的齿摩擦力都在一个网格中两次改变方向。