基于MASTA的单斜齿轮修形优化研究

为了研究不同修形方式对齿轮性能的影响，以一对单斜齿轮为例进行螺旋线修形、齿向起鼓及齿顶修形。采用MASTA软件对不同修形方案进行承载接触分析LTCA(Loaded Tooth Contact Analysis)，计算各种方案下齿轮的传动误差、齿面接触应力及齿面载荷分布，并以齿面载荷分布均匀为优化目标，综合考虑传动误差及齿面接触应力，对齿轮进行螺旋线修形和齿向起鼓，并从修形量、修形长度和修形曲线3个方面进行齿顶修形优化，得到了特定工况、特定齿轮参数下的修形优化方案。研究表明：与未修形情况相比，最终优化方案在齿面载荷分布更均匀的情况下可使齿轮传动误差下降8.6%，且传动误差曲线更接近正弦曲线；最大齿面接触应力下降6.2%，齿面载荷分布系数KHβ由1.195 2降低至1.144 5；该修形优化方案有效地改善了齿轮的啮合性能。

Study on the Optimization of Single Helical Gear Modification based on MASTA Software

In order to study the influence of different modification methods on gear performance, a pair of single helical gears were taken as an example to carry out linear relief, crowning relief and tip relief. MASTA software was used to carry out loaded tooth contact analysis (LTCA) for different modification schemes. The transmission error, contact stress of tooth surface and load distribution of tooth surface were calculated under various schemes. Taking uniform load distribution of tooth surface as optimization objective, the transmission error and contact stress of tooth surface were comprehensively considered. Linear relief, crowning relief were carried out on the gear, and tip relief was carried out from three aspects including modification amount, modification length and modification curve. The optimized scheme under specific working conditions and specific gear parameters was obtained. The results show that the transmission error of the gear can be reduced by 8.6% and the transmission error curve is closer to the sine curve when the load distribution on the tooth surface is more uniform than that without modification; the maximum tooth surface contact stress is decreased by 6.2%; and calculated tooth surface load factor is also reduced from 1.195 2 to 1.144 5; the modification optimization scheme effectively improves the meshing performance of the gear.