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中文摘要：
针对航空、航海等重要场合应用的高精度圆柱人字齿轮,提出对小轮齿面采用四次抛物线式三维修形,并以三次B样条曲线拟合包括修形和误差的精确齿面模型。综合考虑传动误差激励和啮入冲击力激励,建立滚动轴承支撑人字齿轮副啮合型弯-扭-轴耦合十二自由度振动模型,实例分析了齿面修形对人字齿轮齿间振动内激励因素的影响。选取承载传动误差波动幅值、啮入冲击力幅值以及轮齿啮合振动加速度均方根值作为多目标动力学优化函数;利用改进的自适应遗传算法对修形设计参数进行优化。结果表明：修形前后啮合线方向轮齿相对振动加速度均方根值降幅为20.42%,取得了较好的减振降噪效果。搭建封闭功率流式人字齿轮振动测试试验台,采用海德汉圆光栅对修形前后人字齿轮啮合线向振动加速度进行测量,理论计算与试验测量基本趋势保持一致,最大误差不超过14.5%。
英文摘要：
The method of three dimensional teeth modification with four-order parabolic is proposed for the high precision herringbone gear transmission system which are applied in important areas of aviation and navigation, and cubic B-spline curves are used for establishing accurate tooth surface model including the teeth modification and manufacturing errors. A 12-degree of freedom herringbone gear vibration model is established considering transmission error and corner mesh impact force excitations, and the characteristics of incentive vibration excitation factors under the influence of tooth surface modification are comprehensively analyzed. Transmission error fluctuation amplitude, corner meshing impact force amplitude and relative vibration acceleration RMS value of meshing line direction are taken as dynamic multi-objective optimization function, and optimization results show that better noise reduction effect is obtained by a vibration reduction rate of 20.42%. Closed herringbone gear transmission power flow test rig is set up, and Heidenhain angle encoders are used to measure the relative vibration acceleration in meshing line direction. Experimental results are in accordance with those of the simulation results, and the maximum relative deviation between the theoretical results and the experimental data is less than 14.5%.
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