基于势能法的两级斜齿轮系统时变啮合刚度计算与动态特性研究

Time-varying Mesh Stiffness Calculation and Research on Dynamic Characteristic of Two-stage Helical Gear System based on Potential Energy Method

针对多级斜齿轮动力学研究中的时变啮合刚度准确计算与其波动值定量分析等现实问题,以某电动汽车用减速器两级斜齿轮为研究对象,基于势能法计算不同螺旋角β下各级齿轮副的时变啮合刚度。首次提出由螺旋角等齿轮参数决定的参数τ,定量分析表明,当τ值越小时,时变啮合刚度波动值ΔK越小。建立包含12自由度的两级斜齿轮系统集参模型,研究不同螺旋角下系统的动态特性。结果表明,当β为15°时,系统各项动态性能均较好,此时各级齿轮副的τ和ΔK均较小,验证了通过参数τ准确预估ΔK进而预判齿轮系统动态性能的可行性与准确性。

Aiming at the realistic problems on accurate calculation of time-varying meshing stiffness in the research of multi-stage helical gear dynamics,as well as its quantitative analysis of fluctuation value,a two-stage helical gear reducer used in an electric vehicle is taken as the object.Firstly,tim-varying meshing stiffness of each gear pair are calculated based on potential energy method under different helix anglesβ,and the parameterτwhich is determined by gear parameters such as the helix angle are also calculated.Quantitative analysis shows that the smaller the valueτ,the smaller the stiffness fluctuationΔK.Secondly,a dynamics model on a two-stage helical gear system with 12 freedom degrees is established to study the dynamic characteristics of the system under different helix angles.The results show that the dynamic performance of the system is good when theβis 15°,simultaneously,τandΔK of gear pairs at all levels are small.It verified the feasibility and accuracy of the prediction when using parameterτto predictΔK,and specifically when predicting dynamic performance of the gear system.