两级定轴齿轮断齿故障的非线性耦合特性研究  

Coupled nonlinear characteristic of a two-stage gear system with chipping fault

作　　者：王鑫[1,2] 徐玉秀[1,2] 武宝林[1] 李涛涛 

机构地区：[1]天津工业大学机械工程学院,天津300387 [2]现代机电装备技术重点实验室,天津300387 [3]三一重型能源装备有限公司,北京102206

出　　处：《振动与冲击》2016年第13期119-124,178,共7页Journal of Vibration and Shock

基　　金：国家重大科技成果转化项目(2060403);天津市自然科学基金项目(10JCZDJC23400;13JCQNJC07000)

摘　　要：为研究两级齿轮传动系统断齿故障的非线性耦合特性,建立了包含时变啮合刚度、齿侧间隙和综合啮合误差等非线性因素的单级及两级齿轮量纲一动力学方程。利用数值方法对建立的非线性微分方程进行求解,获得系统的分岔图、相图及Poincaré截面,对比研究两系统中一级齿轮随激励频率变化的分岔特性及断齿故障下的故障特性。研究结果表明:耦合特性使两级齿轮系统的周期运动区间增加,幅值亦增加,混沌区间缩短并延迟,对混沌起到抑制作用;断齿故障使单级齿轮系统突跳点增加,同时阵发周期运动出现变化,且变化趋势不确定,对于两级齿轮系统仅使阵发周期运动幅值增加。In order to investigate the coupled nonlinear characteristic of a two-stage gear system with chipping fault,nonlinear dynamic dimensionless equations of a single gear pair and a two-stage gear system with time varying meshing stiffness,errors of transmission and backlashes were established and solved with the numerical method. The bifurcation and chipping fault properties of the 1st gear pair in both systems were analyzed by using bifurcation diagram,phase contrail and Poincaré section with increase in excitation frequency. The results showed that the two-stage gear system periodic motion interval and its amplitude increase and its chaotic interval shortens and delays due to coupling characteristics,they have a suppressing effect on chaos; the tooth chipping failure makes increase in critical points and changes intermittent periodic movements into uncertain ones for the single stage gear system,and makes increase in intermittent periodic motion amplitude for the two-stage gear system.

关 键 词：齿轮传动 非线性耦合动力学 混沌 分岔 故障 

分 类 号：TH132.41[机械工程—机械制造及自动化]