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首页> 外文期刊>Mechanism and Machine Theory: Dynamics of Machine Systems Gears and Power Trandmissions Robots and Manipulator Systems Computer-Aided Design Methods >An investigation of tooth mesh nonlinearity and partial contact loss in gear pairs using a lumped-parameter model
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An investigation of tooth mesh nonlinearity and partial contact loss in gear pairs using a lumped-parameter model

机译：使用集总参数模型研究齿轮副中的齿孔非线性和部分接触损耗

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摘要

A three-dimensional lumped-parameter model for a pair of helical gears is developed and shown to be equivalent to an arbitrary tooth contact force distribution. The nonlinearity of the gear mesh is due to portions of gear teeth contact lines losing contact (partial contact loss). The lumped-parameter model accounts for the net force and moment arising from an arbitrary load distribution including partial contact loss. This model is shown to be equivalent to a fourparameter model defined by a translational stiffness acting at the center of stiffness and a twist stiffness. The twist stiffness generates a moment, which is solely due to the spread of contact across the tooth face. The movement of the translational stiffness across the tooth face generates an additional moment. The four parameters in the model are useful post-processing output quantities to track and interpret the gear mechanics and the mesh forces and moments that develop under static or dynamic conditions. The translational and twist stiffnesses and the center of stiffness depend strongly on the relative translation and twist at the gear mesh, introducing nonlinearity. Tooth surface modifications smoothen the translational stiffness profile and decrease the twist stiffness. The twist stiffness fluctuates periodically with gear rotation generating fluctuating moments (shuttling) that can potentially excite vibrations.
机译：建立了一对斜齿轮的三维集总参数模型，并显示为等效于任意齿接触力的分布。齿轮啮合的非线性是由于部分齿轮齿接触线失去接触（部分接触损失）。集总参数模型考虑了由任意载荷分布（包括部分接触损耗）引起的净力和力矩。该模型显示为等效于由作用在刚度和扭曲刚度中心的平移刚度定义的四参数模型。扭转刚度会产生力矩，这完全是由于接触在整个齿面上的分布所致。平移刚度在齿面上的运动会产生额外的力矩。模型中的四个参数是有用的后处理输出量，用于跟踪和解释齿轮力学以及在静态或动态条件下产生的啮合力和力矩。平移和扭转刚度以及刚度中心在很大程度上取决于齿轮啮合处的相对平移和扭转，从而引入了非线性。牙齿表面修饰可平滑平移刚度轮廓并降低扭转刚度。扭转刚度会随着齿轮的旋转而周期性地波动，从而产生可能引起振动的波动力矩（梭动）。

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