基于轴交角误差的齿轮修形快速算法

GEAR MODIFICATION FAST ALGORITHM BASED ON SHAFT ANGLE ERROR

给出将齿轮轴交角误差等效为齿向斜度的计算方法,建立存在轴交角误差的齿轮具有假定齿向鼓形修形量的载荷分布模型。基于齿轮承载接触分析(LTCA)、赫兹理论与能量方法给出了存在轴交角误差的齿轮齿向鼓形量的计算方法。建立存在轴交角误差的齿轮修形有限元模型,分析比较齿轮齿向修形前后的齿面载荷分布情况与齿轮的传递误差变化情况。通过实验对比分析了修形前后齿轮接触斑点分布与齿轮箱振动情况。结果表明,按照假定鼓形量载荷分布模型计算出的齿向鼓形修形量能有效改善齿轮的载荷分布不均与应力集中现象,同时齿轮传动平稳性也有所提升。

The calculation method of gear shaft angle error equivalent to tooth direction inclination is given,and the gear load distribution model with assumed drum shape modification is established for gear with shift angle error.Based on gear Loaded Tooth Contact Analysis( LTCA),the calculation method of gear tooth direction bulging with shaft angle error is given by Hertz theory and energy method.The finite element model of axial modification with shaft gear error is established,and the load distribution of tooth surface and the change of gear shaft error before and after gear modification are analyzed and compared.Contact macula of gears and vibration of gear were compared and analyzed by experiment.The results show that the gear load is measured according to the assumption.The tooth direction drum shape modification calculated by the load distribution model can effectively improve the uneven load distribution and stress concentration of the gear,and the transmission stability of the gear is also improved.