故障滚动轴承的非线性动力学建模与振动分析  

Nonlinear dynamic modeling and vibration analysis of faulty rolling bearings

作　　者：郑龙魁 向阳[1] 盛晨兴[1] ZHENG Longkui;XIANG Yang;SHENG Chenxing(College of Energy and Power Engineering, Wuhan University of Technology, Wuhan 430000, China)

机构地区：[1]武汉理工大学能源与动力工程学院,湖北武汉430000

出　　处：《哈尔滨工程大学学报》2022年第5期681-688,共8页Journal of Harbin Engineering University

基　　金：国家自然科学基金项目(51079118,51279148);NSFC-浙江两化融合联合基金项目(U1709215).

摘　　要：为分析推进电机中故障滚动轴承的振动特征,本文基于赫兹接触理论和能量守恒定律分别建立了轴承各部件的能量方程和滚动体与故障区域之间的冲击激励方程,进一步,根据拉格朗日方程推导并建立了故障滚动轴承的非线性动力学模型,采用Newmark-β方法求解所建立的动力学模型并进行了试验验证。仿真和试验结果表明:所推导的模型可以有效地模拟故障轴承的振动响应,可为滚动轴承的监测和故障诊断提供理论依据。To analyze the vibration characteristics of faulty rolling bearings in propulsion motors,energy equations of each component of the bearings and impact excitation equations between rolling elements and fault areas were established based on Hertz contact theory and the energy conservation law,respectively.Furthermore,nonlinear dynamic models of fault rolling bearings were established based on the Lagrange equation.The Newmark-βmethod was adopted to solve the dynamic models,and test verification was conducted.The derived model effectively simulated faulty rolling bearings,which provides a theoretical basis for the monitoring and fault diagnosis of rolling bearings.

关 键 词：滚动轴承 非线性 动力学模型 故障 Newmark-β 赫兹接触 振动响应 冲击激励 

分 类 号：TP319.56[自动化与计算机技术—计算机软件与理论]