Prediction of mechanical efficiency of spur gear pairs based on tribo-dynamics model of multi-tooth meshing

Lei Liu, Rong Kong, Zhiwei Chen
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Abstract

The prediction of load-dependent losses of gear pairs is a topic of constant concern, which depends largely on the modelling of friction coefficient in tooth meshing. Although the current load-sharing based models can handle the friction coefficient in mixed elastohydrodynamic lubrication regimes, dynamics behaviour of each tooth pair or the time variation of direction of normal contact load is not taken into consideration. This study proposes a new method for modelling efficiency of spur gear pairs in transient operating conditions by coupling the multi-tooth meshing model with the friction coefficient model. The friction coefficient is modelled through load-sharing function, and the gear dynamics model is established with regard to alternate meshing of single-double tooth pair and time variation of direction of normal load and mesh stiffness. The model is validated by comparing the calculated results of friction coefficients and load-dependent losses with experimental data in published literatures, showing good agreement. At the end, the efficiency model is applied to two types of gear pairs to investigate the influence of tooth shapes and operating parameters on the load-dependent losses of gear pairs.
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基于多齿啮合三动力学模型的正齿轮对机械效率预测
预测齿轮副随载荷变化的损耗是一个持续关注的话题,这在很大程度上取决于对齿啮合摩擦系数的建模。虽然目前基于负载分担的模型可以处理混合弹性流体动力润滑状态下的摩擦系数,但没有考虑到每个齿对的动力学行为或正常接触负载方向的时间变化。本研究提出了一种新方法,通过将多齿啮合模型与摩擦系数模型相耦合,模拟正齿轮对在瞬态运行条件下的效率。摩擦系数通过载荷分担函数建模,齿轮动力学模型的建立考虑到了单双齿对交替啮合以及法向载荷方向和啮合刚度的时间变化。通过将摩擦系数和随载荷变化的损耗的计算结果与已发表文献中的实验数据进行比较,对模型进行了验证,结果显示两者吻合良好。最后,将效率模型应用于两种类型的齿轮对,以研究齿形和工作参数对齿轮对随载荷变化的损耗的影响。
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