摘要
为了研究行星齿轮缺齿时包含微弱故障特征的振动信号在多级齿轮箱系统中的传递特性,先考虑仅由齿轮及转轴构成的"局部系统",采用集中质量法建立齿轮系统扭转动力学模型,依达朗伯原理导出振动微分方程组并求得各级齿轮啮合的振动响应即振动源信号。为了找出振动源信号在整个系统中的传递关系,在上述动力学模型的基础上再考虑包括齿轮箱箱体在内的"整体系统",通过对信号动态传播路径的分析,针对不同测点反映故障的敏感度不同的现象,根据系统辨识理论建立信号传播模型,并运用最小二乘类方法得到振动源信号传至不同测点的传递函数估计,即找到信号在系统中的传递关系。通过分析比较传递函数幅频特性曲线进而选取合适测点,在此测点下行星齿轮缺齿故障特征频率相对明显易识别。
In order to figure out the transfer feature of the vibration signal containing weak fault characteristics in multi-gear-box system when planetary gear tooth missing fault occurs,a ＂partial system＂including only gears and axis is considered; and the lumped mass method is adopted to establish the torsional dynamics model of the gear system. According to D＇Alembert principle the vibration differential equation set of the dynamics model is derived and solved,and the vibration responses of the meshing of all level gears,namely the vibration source signals,are obtained. In order to find the transfer relationship between the vibration source signals and the measurement point signals in the whole system,on the basis of the above dynamic model the ＂whole system ＂including gear box is considered.Through the dynamic signal propagation path analysis,considering the phenomenon that different measurement points reflect distinctive sensitivity to the fault signal,a signal propagation model is established according to the system identification theory; and with the recursive least-squares minimum-norm algorithm,the signal transfer functions from meshing points to different measurement points are estimated,that means the signal transfer relationship in the system is found. Through analyzing and comparing the transfer function amplitude-frequency characteristic curves,the appropriate measurement point is found. The result shows that at this measurement point the characteristic frequencies of the planetary gear tooth missing fault are recognized relatively more easily.
出处
《仪器仪表学报》
EI
CAS
CSCD
北大核心
2016年第2期249-255,共7页
Chinese Journal of Scientific Instrument
基金
国家重大科技成果转化(2060403)
天津市自然科学基金重点(10JCZDJC23400)项目资助
关键词
行星齿轮传动系统
信号传播模型
传递函数估计
故障识别
planetary gear transmission system
signal propagation model
transfer function estimation
fault identification
