行星齿轮系统齿裂纹演化分析  

Evolutionary Analysis of Tooth Cracks in Planetary Gear Systems

作　　者：雷震 姜宏[1] 章翔峰[1] 李军 孔艺一 白宇 LEI Zhen;JIANG Hong;ZHANG Xiangfeng;LI Jun;KONG Yiyi;BAI Yu(School of Mechanical Engineering,Xinjiang University,Urumqi 830049)

机构地区：[1]新疆大学机械工程学院,乌鲁木齐830049

出　　处：《机械工程学报》2024年第19期101-115,共15页Journal of Mechanical Engineering

基　　金：新疆维吾尔自治区自然科学基金资助项目(2022D01C36)。

摘　　要：针对行星齿轮系统裂纹故障“以直线裂纹代曲线裂纹”的假设,存在简化误差大小、置信区间不确定问题。考虑裂纹扩展过程中裂纹前缘应力场、位移场的奇异性,对裂纹扩展路径精确表达。建立新的齿根裂纹悬臂梁模型,对不同裂纹故障程度量化表征。构建含裂纹故障的行星齿轮动力学参数化模型,分析了太阳轮齿根裂纹故障对行星齿轮系统振动响应及故障特征的影响。结果表明:实际裂纹简化为直线裂纹的可行性范围如下,裂纹全生命周期前75%,直线裂纹的简化误差不超过6.4%;行星齿轮系统对小于50%裂纹故障的响应表现为弱故障,对大于50%裂纹故障的响应表现为强故障。In view of the hypothesis of“linear crack instead of curved crack”in planetary gear system crack failure,there are problems of the size of simplified error and uncertainty of confidence interval.Considering the singularity of stress field and displacement field of crack front in the process of crack propagation,the crack propagation path is accurately expressed.A new cantilever beam model with root cracks is established to quantitatively characterize the fault degree of different cracks.The dynamic parametric model of planetary gear with crack fault is established,and the influence of the crack fault on the vibration response and fault characteristics of planetary gear system is analyzed.The results show that the feasibility range of reducing the actual crack to the linear crack is as follows:the first 75%of the whole life cycle of the crack,the simplification error of the linear crack is not more than 6.4%;The response of planetary gear system to the fault with less than 50%crack is weak fault,and the response to the fault with more than 50%crack is strong fault.

关 键 词：行星齿轮 齿根曲线裂纹 啮合刚度 振动响应 量化分析 

分 类 号：TH113[机械工程—机械设计及理论]