This paper proposes a novel method to predict the spur gear pair’s static transmission error based on the accuracy grade, in which manufacturing errors (MEs), assembly errors (AEs), tooth deflections (TDs) and profile modifications (PMs) are considered. For the prediction, a discrete gear model for generating the error tooth profile based on the ISO accuracy grade is presented. Then, the gear model and a tooth deflection model for calculating the tooth compliance on gear meshing are coupled with the transmission error model to make the prediction by checking the interference status between gear and pinion. The prediction method is validated by comparison with the experimental results from the literature, and a set of cases are simulated to study the effects of MEs, AEs, TDs and PMs on the static transmission error. In addition, the time-varying backlash caused by both MEs and AEs, and the contact ratio under load conditions are also investigated. The results show that the novel method can effectively predict the range of the static transmission error under different accuracy grades. The prediction results can provide references for the selection of gear design parameters and the optimization of transmission performance in the design stage of gear systems.

本文提出了一种基于精度等级来预测正齿轮副静态传动误差的新方法，其中考虑了制造误差（ME），装配误差（AE），齿偏（TD）和轮廓修正（PM）。为了进行预测，提出了用于基于ISO精度等级生成误差齿廓的离散齿轮模型。然后，将齿轮模型和用于计算齿轮啮合顺应性的齿轮挠度模型与传动误差模型结合，通过检查齿轮与小齿轮之间的干涉状态来进行预测。通过与文献中的实验结果进行比较，验证了该预测方法的有效性，并通过一系列案例研究了ME，AE，TD和PM对静态传输误差的影响。此外，还研究了由ME和AE引起的时变反冲，以及负载条件下的接触比。结果表明，该方法可以有效地预测不同精度等级下静态传递误差的范围。预测结果可为齿轮设计参数的选择和齿轮系统设计阶段传动性能的优化提供参考。