摘要
针对轴承结合部有限元分析模型参数难以确定的问题,提出了基于模态实验数据的建模方法,分析了球轴承接触变形的特点.利用拉格朗日力学分析原理建立了球轴承装配结构3自由度的动力学方程,依据模态实验测得的固有频率和阻尼比,采用最小二乘法解得单个钢球在接触法线方向上的刚度和阻尼,进而计算得到了轴承结合部在径向、轴向以及转角等3个方向的刚度和阻尼.采用弹簧阻尼单元模拟轴承结合部的结构动力学方程,通过与由拉格朗日力学分析原理建立的动力学模型的对比,来确定弹簧阻尼单元的数值,并建立了轴承结合部有限元分析模型.研究结果表明:在对装配结构有限元进行分析计算时,结构前3阶固有频率及振型与实验测得的振型一致,对应固有频率的相对误差在5%以内.
Aiming at the key problem in determining the parameters of finite element analysis（FEA） model of bearing joint interfaces,a new scheme according to the experimental data of modal testing is proposed.A 3-DOF dynamic equation following Lagrange theory is reported for the analysis to ball bearing vibrations,the stiffness and damping along normal of single ball is obtained by least square method,then the stiffness and damping matrix of bearing joint interfaces are identified.A new 3-DOF dynamic equation by two pairs of springs instead of the ball bearings is established,where the of spring values are calculated by substituting the stiffness and damping matrix into new equation to gain the FEA model of structure containing ball bearing.The results show that the first three modes by the FEA model coincide well with the experiments,and the error of natural frequencies gets less than 5%.
出处
《西安交通大学学报》
EI
CAS
CSCD
北大核心
2012年第11期69-74,共6页
Journal of Xi'an Jiaotong University
基金
国家科技重大专项课题资助项目(2009ZX0401-035)
关键词
轴承
结合部
动态参数识别
动力学建模
bearing
joint interfaces
dynamic parameter identification
dynamic modeling
