基于随动坐标系的开裂纹转子系统转动阻尼对振动稳定性影响的研究  

Influence of rotation damping on the stability of the vibration of the cracked rotor in rotating operation

作　　者：彭慧春[1,2] 王忠华 陶向宇[4] 何青[2] 甄亚欣[1] 

机构地区：[1]华北电力大学数理系,北京102206 [2]华北电力大学能源动力与机械工程学院,北京102206 [3]神华神东电力重庆万州港电有限责任公司,重庆404027 [4]中国电力科学研究院,北京100192

出　　处：《应用力学学报》2016年第6期1085-1092,1125,共8页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金资助项目(11402087)

摘　　要：区分固定阻尼和转动阻尼的情况下,建立了基于Lagrange方程的随动坐标系下开裂纹转子的运动方程。在此基础上采用了基于Routh-Hurwitz判据的根轨迹法,做出了裂纹转子非线性振动的坎贝尔图、衰变率图、根轨迹图;以此为依据分别研究了无阻尼开裂纹转子、具有一定比例的粘滞阻尼开裂纹转子运动稳定性。从而得出粘滞阻尼、粘滞阻尼中不同转动阻尼所占的比例以及对系统稳定性的影响,为裂纹转子故障诊断和不稳定振动控制提供了理论依据。With the distinction of stationary damping and rotation damping inside viscous damping, the motion equations of cracked rotor are formed in rotation coordinate by Lagrange method. Based on the Routh-Hurwitz's criteria, the stability of the open cracked rotor both without damping and with viscous damping are presented by using root locus method. By the comparison of the Campbell diagram, decay rate plot and roots locus plot in different ratios of rotation damping in the proportion of viscous damping, influences of rotation damping on the stability of the vibration of the cracked rotor are discussed in the resonance region as well as in the super resonance region, which may generally provide practical applicability for crack detection and instability control of the heavy loading turbo-machinery system.

关 键 词：裂纹转子 非线性振动 转子动力学 转动阻尼 坎贝尔图 指数衰变率 特征根轨迹 

分 类 号：O321[理学—一般力学与力学基础]