基于有限元的横向裂纹转子系统的动力学分析  

Dynamic analysis of rotor system with transverse crack based on finite element

作　　者：李常有[1,2] 徐敏强[1] 郭耸[3] 王日新[1] 高晶波[1] 

机构地区：[1]哈尔滨工业大学航天学院,黑龙江哈尔滨150001 [2]东北大学机械工程与自动化学院,辽宁沈阳110004 [3]哈尔滨工程大学计算机科学与技术学院,黑龙江哈尔滨150001

出　　处：《振动工程学报》2009年第5期486-491,共6页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(10772061);黑龙江省自然科学基金资助项目(ZJG0704)

摘　　要：根据横向裂纹轴单元的力学分析,推导出单元内各点的广义位移,由此得出单元的动能和势能,由Lagrange方程,获得横向裂纹轴单元的质量矩阵、回转矩阵和刚度矩阵。在此基础上联立圆盘单元、无裂纹轴单元以及轴承单元的动力学方程,综合得出系统的动力学方程,并对其进行数值分析。结果表明:横向裂纹对转子系统的各个系数矩阵都有影响,裂纹深度的识别应在响应的高频成分上进行。The dynamic analysis of rotor system with transverse crack is important to implement early diagnosis of transverse crack which is a cause leading to failure of rotor system. The generalized displacements of any position of the element with transverse crack are derived based on the mechanics analysis, then, the kinetic energy and potential energy of the element with transverse crack are represented. According to Lagrange equation, the dynamic equation, mass mat＇rix, gyroscope matrix and stiffness matrix of the element with transverse crack is given. Finally, the dynamic equation of the rotor system with transverse crack is derived based on the dynamic equations of the shaft element with transverse crack, rotor disk element and the shaft element without crack and analyzed by numerical computation. The results show that all system matrixes are changed due to the existence of transverse crack and the identification of the depth of transverse crack should be based on the higher frequency vibration signals.

关 键 词：转子系统 有限元 动力学 横向裂纹 

分 类 号：TH114[机械工程—机械设计及理论]