考虑陀螺力矩的转子系统弯扭耦合振动分析  

Analysis of Bending-Torsional Coupling Vibration for Rotor System Considering Gyroscopic Couple

作　　者：郑楠 董超 缪旭 ZHENG Nan;DONG Chao;MIAO Xu(Department of Strength Design,AVIC Shenyang Engine Design and Research Institute,Shengyang 110015,China;Department of Strength Test,AVIC Shenyang Engine Design and Research Institute,Shengyang 110015,China)

机构地区：[1]中国航发沈阳发动机研究所强度设计研究室,辽宁沈阳110015 [2]中国航发沈阳发动机研究所强度试验研究室,辽宁沈阳110015

出　　处：《机械制造与自动化》2025年第2期61-67,共7页Machine Building & Automation

摘　　要：为了分析转子系统弯扭耦合振动特征,利用有限元法和Lagrange方程建立考虑陀螺力矩作用的转子系统弯扭耦合振动微分方程。以某双盘单转子模型为例,利用数值积分法分别计算转子系统弯振和扭振响应,并分析陀螺力矩对弯扭耦合共振频率的影响规律。计算结果表明:不考虑陀螺力矩时,转子系统的弯扭耦合共振频率为其弯振与扭振固有频率之和或之差;考虑陀螺力矩时,弯曲方向外激励力诱发弯扭耦合共振频率值与不考虑陀螺力矩时的结果一致,而扭转方向外激励转矩诱发的弯扭耦合共振频率会发生明显偏移。该研究成果可为转子系统设计中避免弯扭耦合共振的发生提供理论参考。To analyze the characteristics of bending-torsional coupling vibration,the bending-torsional coupling vibration differential equations of the rotor system considering the effect of gyroscopic couple were established using the finite element method and Lagrange equation.A double-disk rotor model taken as an example,the bending and torsional vibration responses of the rotor system were calculated by the numerical integration method,and the influence law of the gyroscopic couple on the bending-torsional coupling resonance frequency was analyzed.The results show that when the gyroscopic couple is not considered,the bending-torsional coupling resonance frequency of the rotor system is equal to the sum or the difference of its natural frequency of bending and torsional vibration,while the gyroscopic couple is taken into account,the bending-torsional coupling resonance frequency caused by the external excitation force in the bending direction remains unchanged,but the bending-torsional coupling resonance frequency induced by the external excitation torque in the torsional direction will changes significantly.The research provides a theoretical reference for the design of the rotor system to avoid the occurrence of bending-torsional coupling resonance.

关 键 词：转子系统 弯扭耦合振动 陀螺力矩 有限元法 共振 

分 类 号：TH133.1[机械工程—机械制造及自动化]