基于平行连杆机构加工的圆弧齿线圆柱齿轮啮合特性研究

Study on the Meshing Characteristic of Cylindrical Gear with Arcuate Tooth Trace based on the Processing Principle of Parallel Link Mechanism

以圆弧齿线圆柱齿轮为研究对象,基于平行连杆机构加工原理,推导齿轮齿面方程,并完成三维建模,进而建立动力学分析模型,分析齿宽、齿线半径、负载及转速对圆弧齿线圆柱齿轮啮合特性的影响。研究结果表明,随着齿宽增加,最大啮合力、平均啮合力以及啮合力均方根均先减小后增加;随着齿线半径的增加,最大啮合力、平均啮合力以及啮合力均方根均先减小后增大,RT=120~240 mm时达到最优,平均啮合力和啮合力均方根波动范围小,最大啮合力波动范围大;啮合力随着负载的增加而逐渐增加,但正向/负向波动幅度随着负载的增加而减小,在低负载时传动平稳性差,甚至出现脱啮现象;随着转速增加,齿轮平均啮合力、最大啮合力增加,最小啮合力减小,即齿轮啮合力的波动越剧烈,齿轮传动冲击越大。

The cylindrical gear with arcuate tooth trace is regarded as the research object. Based on the processing principle of parallel link mechanism,the gear tooth surface equation is derived,and the 3D model of gear is established,and the dynamics analysis model of gear pair is further established. Through the dynam ics analysis simulation,the influence of tooth line radius,tooth width,load and speed on the meshing charac teristics is analyzed. The results show that, the maximum meshing force,average meshing force and RMS of meshing force all decrease first and then increase with the increase of the tooth width. The maximum meshing force,average meshing force and RMS of meshing force all decrease first and then increase with the increase of tooth line radius,it’s optimum at RT=120~240 mm,the fluctuation range of average meshing force and RMS of meshing force is small,while that of maximum meshing force is large. The meshing force increases gradually with the increase of load,but the positive/negative fluctuation amplitude decreases with the increase of load. The transmission stability is poor at low loads,and even the gear transmission appears to be out of mesh. With the increase of rotating speed,the average meshing force and maximum meshing force increase, while the minimum meshing force decreases,that is,the more severe the fluctuation of gear meshing force, the greater the impact of gear transmission.