Study on Effect of Tooth Surface Wear Failure on Transmission Errors of Spiral Bevel Gears in Service Life
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摘要: 针对螺旋锥齿轮服役过程中因齿面磨损导致的动态传动误差变化，考虑齿面磨损程度与载荷，基于有限元方法，研究单齿及全齿磨损故障下，载荷及磨损量对传动误差动态响应的影响规律。分析可知，齿面磨损将引起齿轮系统动态传动误差增大，在单齿磨损故障下磨损量与动态传动误差之间近似成正弦函数关系，载荷一定时，当磨损量足够大导致故障齿不参与啮合时，磨损量达到极值而不再增长；磨损量一定时，动态传动误差幅值的极值与载荷成指数函数关系。全齿磨损故障下，故障齿始终参与承载，磨损量与动态传动误差之间近似成线性函数关系。Abstract: In view of the change of the dynamic transmission error caused by the tooth surface wear of spiral bevel gear in service life, considering the wear degree and load of tooth surface, the influence law of load and wear amount on the dynamic response of transmission error under the single tooth and full tooth wear faults is studied based on the finite element method. It can be seen from the analysis results that the gear surface wear will increase the dynamic transmission error of the gear system. Under the single tooth wear fault, the relationship between the wear amount and the dynamic transmission error is approximately a sine function. When the load is fixed, and when the wear amount is large enough to cause the fault teeth not to participate in the meshing, the wear amount reaches the extreme value and no longer increases. When the wear amount is fixed, the extreme value of the dynamic transmission error amplitude is index Number function relationship with the load. In the case of full tooth wear fault, the fault tooth always takes part in the load, and the relationship between wear and dynamic transmission error is approximately linear.
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表 1 螺旋锥齿轮主要几何参数
参数及单位 主动轮 从动轮 齿数 14 41 齿宽/mm 55 55 分度圆直径/mm 111.72 327.18 大端模数/mm 7.98 7.98 螺旋角/(°) 35 35 压力角/(°) 20 20 
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表 3 拟合参数1
载荷P/ (N·m) 斜率ε1 截距η1 临界值γ1 临界值磨损量λ1 500 -0.548 6 -18.85 -33.190 2 26.139 6 1000 -0.688 3 -29.81 -51.771 3 31.906 6 2000 -0.781 8 -49.16 -88.726 8 50.609 9 3000 -0.799 5 -67.24 -124.243 9 71.545 8
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表 4 拟合参数2
载荷P/(N·m) 斜率常数ε2 截距常数η2 500 -1.494 -11.54 1 000 -1.508 -23.27 2 000 -1.507 -44.04 3 000 -1.508 -61.5
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