转子轴系弯扭耦合振动的次同步谐振分析  

Sub-synchronous resonance of a rotor system with bending-torsional coupling vibration

作　　者：李军[1] 陈予恕[1] 

机构地区：[1]哈尔滨工业大学航天学院,哈尔滨150001

出　　处：《振动与冲击》2012年第23期207-212,共6页Journal of Vibration and Shock

基　　金：国家自然科学基金项目资助(10632040;10772056)

摘　　要：考虑次同步谐振对汽轮发电机转子轴系的影响,建立了低压缸转子和发电机转子弯扭耦合振动系统的非线性动力学模型。质量偏心是引起弯扭耦合振动的重要因素,偏心量越大弯扭耦合越明显。应用平均法得到系统的分岔方程,通过奇异性理论分析得出:转迁集将参数平面划分为四个不同区域,在不同的参数区域内系统的运动模式不同。应用解析和数值的方法分析了系统的分岔特性比较发现:在次同步谐振作用下,仅考虑扭转振动是不全面的,应该将弯曲振动和扭转振动同时考虑更为合理。该结果可以为该系统的参数设计和故障诊断提供理论依据。The nonlinear dynamic model of a low pressure cylindergenerator system was established considering subsynchronous resonances. The unbalanced mass aroused bendingtorsional coupling vibration of the rotor system and the larger the unbalance, the more serious the vibration. The bifurcation equations of the rotor with bendingtorsional coupling were obtained by using the average method. Transition sets and bifurcation diagrams were obtained according to the singularity theory. The parameter plane was divided into four regions. In different regions, there were different bifurcation modes. The bifurcation characteristics were analyzed with analytical and numerical results. It was found that under the subsynchronous resonance, only considering the torsional vibration of the rotor system is incomplete and its bending torsion coupling vibration analysis is more reasonable. All these results presented here provided a theoretical basis for optimal design and fault diagnosis of rotor systems.

关 键 词：弯扭耦合 次同步谐振 奇异性理论 

分 类 号：O322[理学—一般力学与力学基础]