开斜裂纹转子的动力特性  

DYNAMIC ANALYSIS OF A JEFFCOTT ROTOR SYSTEM WITH AN OPENING SLANT CRACK ON ITS SHAFT

作　　者：林言丽[1] 褚福磊[1] 郝如江[1] 

机构地区：[1]清华大学精仪系设计所,北京100084

出　　处：《振动与冲击》2008年第1期25-29,共5页Journal of Vibration and Shock

基　　金：国家杰出青年科学基金(50425516);863计划(2006AA04Z438)

摘　　要：对于转子系统,转轴上斜裂纹的存在会产生与直裂纹不尽相同的动力特性,主要原因是斜裂纹和直裂纹会引起转子不同方向振动的耦合。用断裂力学中应力强度因子与应变能释放率间的关系推导了带有45°张开型斜裂纹转子的刚度;并进一步对有耦合刚度的运动方程用龙格-库塔法进行了数值分析,给出了裂纹深度、偏心量和转速对转子动力特性的影响。For a rotor system,different dynamic behaviors will occur when there is a slant crack or a transverse one on its shaft.The main reason is that a slant crack and a transverse one can cause dissimilar vibrational couplings of different directions for the shaft.The stiffness matrix of a Jeffcott rotor with a 45° opening slant crack on its shaft is deduced by using the relationship between the stress intensity factors and the strain energy releasing rate.Furthermore the motion equations are solved by using Rounge-Kutta numerical method,and the influences of the crack depth,disk eccentricity and rotating speed on the dynamic behavior of the rotor system are analyzed.

关 键 词：Jeffcot转子 斜裂纹 动力特性 耦合刚度 

分 类 号：TB123[理学—工程力学]