修形渐开线斜齿轮啮入冲击计算  

Calculation of Mesh-in Impact of Modified Involute Helical Gears

作　　者：贾超 姚立纲[1] 张俊[1] 方宗德[2] JIA Chao;YAO Ligang;ZHANG Jun;FANG Zongde(School of Mechanical Engineering and Automation,Fuzhou University,Fuzhou 350116,China;School of Mechanical Engineering,Northwestern Polytechnical University,Xi’an 710072,China)

机构地区：[1]福州大学机械工程及自动化学院,福州350116 [2]西北工业大学机电学院,西安710072

出　　处：《西安交通大学学报》2020年第9期58-65,80,共9页Journal of Xi'an Jiaotong University

基　　金：国家自然科学基金资助项目(51875105)。

摘　　要：为更精确计算修形渐开线斜齿轮的啮入冲击力,提出了一种修形渐开线斜齿轮啮入冲击力的计算方法。基于齿面接触仿真,建立了综合考虑齿面修形和负载变形引起的基节差条件下未发生边缘接触时的齿轮副齿面-齿面接触仿真模型,以及发生边缘接触时的齿轮副顶点-齿面接触仿真模型,计算了修形斜齿轮啮入冲击位置随负载在修形齿面齿廓和齿向两个方向上的变化结果,并根据轮齿接触瞬时的能量守恒原则来求解啮入冲击力。基于提出的啮入冲击力计算方法和遗传优化算法建立了齿面修形优化设计模型,结合算例完成了啮入冲击力最小的齿面修形优化设计。研究结果表明:转速和负载对啮入冲击力产生较大的影响,在设定的载荷范围内,修形齿轮副啮入冲击力得到了有效减小;齿轮副边缘接触会导致啮入冲击力迅速增大,修形设计中应避免。To calculate the mesh-in impact force of modified involute helical gears more accurately,a calculation method of mesh-in impact force for modified involute helical gears is proposed.Based on the tooth contact simulation,the“tooth surface-tooth surface”contact simulation model without edge contact of gears and the“tip point-tooth surface”contact simulation model with edge contact of gears are set up in consideration of the base pitch difference which is caused by the tooth surface modification and loaded tooth deformation,and the results of the variation of mesh-in impact position in both the tooth profile and the longitudinal directions with loads are calculated.The mesh-in impact force is calculated according to the energy conservation at the moment of teeth coming into contact.An optimal design model of tooth modification is set up based on the proposed method and the genetic optimization algorithm.Combined with an example,an optimal design of tooth modification with minimum mesh-in impact force is completed.The results show that both rotation speed and load have great effects on the mesh-in impact force,and the mesh-in impact force of the modified gears is reduced effectively within the set load range.Rapid increase of mesh-in impact force may be caused by the edge contact of gears and should be avoided in the design of tooth modification.

关 键 词：渐开线斜齿轮 齿面修形 边缘接触 啮入冲击位置 啮入冲击力 

分 类 号：TH132.41[机械工程—机械制造及自动化]