重合度对人字齿轮非线性系统振动特性的影响分析

由轮齿接触分析以及轮齿承载接触分析计算出考虑安装误差的轮齿综合啮合刚度和单齿啮合刚度，提出了考虑齿轮啮合重合度的啮合冲击计算模型，建立了考虑时变啮合刚度、啮入冲击、齿侧间隙的人字齿轮十二自由度啮合型弯—扭—轴耦合非线性振动模型。以某船用单级人字齿轮副为实例，通过改变轮齿高度变位系数调整重合度进行验证计算，将本文提出的线外啮合冲击模型冲击力计算结果与文献8]中模型计算结果进行比较，验证了本文提出模型的有效性。通过实例计算，结果表明在负载一定的情况下，轮齿啮合周向及小轮轴向振动随着重合度的增大而减小；而当轮齿啮合重合度增大到4.07时，系统振动呈增大趋势。

Dynamic Characteristics of Double Helical Gear Nonlinear Dynamic System Subjected to Contact Ratio

The integrated and single teeth meshing stiffness are calculated by tooth contact analysis and load tooth contact analysis under assembly misalignment. A corner meshing impact calculation model is put forward considering contact ratio, and 12-degree of freedom nonlinear double helical gear vibration model is established considering meshing stiffness, corner mesh impact, and backlash. Take the ship transmission system as an example, verified by changing the contact ratio. Teeth contact ratio is changed by adjusting tooth height modification coefficient, the meshing impact model in this paper is proved effective through comparing to calculation results in the literature 8]. The results also show that under the constant load, the system's vibration reduce with the increasing contact ratio; however, when contact ratio exceeds the value 4.07, vibration shows increasing trend.