A novel method to predict static transmission error for spur gear pair based on accuracy grade

基于齿轮精度等级的直齿轮副静态传动误差预测方法

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.

本文提出一种基于齿轮精度等级的直齿轮副静态传动误差预测方法,该方法综合考虑了加工误差、安装误差、轮齿变形以及齿廓修形的影响。首先,分别建立了根据ISO齿轮精度等级生成误差齿廓的离散齿轮模型,轮齿变形模型,以及传动误差模型;随后,将上述三个模型进行耦合,从而实现直齿轮副传动误差的预测。对比分析文献中实验结果与本文预测结果,验证了该预测方法的正确性。基于一系列仿真算例,研究了加工误差、安装误差、轮齿变形以及齿廓修形对静态传动误差的影响规律。此外,还研究了加工误差和安装误差对时变啮合侧隙的影响规律,以及受载条件下重合度的变化规律。结果显示,该方法可有效预测不同齿轮精度等级下直齿轮副静态传动误差范围。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。