基于双自由度系统的转子特征值耦合特性分析  

Coupling characteristics analysis of rotor eigenvalues based on two degrees of freedom system

作　　者：周兆华 雷晓薇 张雪冰[1] 王刚伟[1] 杨俊[1] 何鹏[2] ZHOU Zhao−hua;LEI Xiao−wei;ZHANG Xue−bing;WANG Gang−wei;YANG Jun;HE Peng(Wuhan Second Ship Design and Research Institute,Wuhan 430064,China;Harbin Institute of Technology,Harbin 150000,China)

机构地区：[1]武汉第二船舶设计研究所,武汉430064 [2]哈尔滨工业大学,哈尔滨150000

出　　处：《船舶力学》2025年第3期506-516,共11页Journal of Ship Mechanics

基　　金：工信部重大专项(2017-IV-0008-0045)。

摘　　要：随着大流量涡轮泵的迅速发展,其叶轮尺寸和转速日益增大,导致涡轮泵本身的耦合振动现象凸显。为保持涡轮泵的平稳运行并降低其振动噪声,本文研究了涡轮泵转子系统的耦合动力学特性。首先,基于简化的涡轮泵转子有限元模型进行分析,发现当转子不同阶频率在Campbell图中相互趋近时,接近重合的区域会发生转向和合并两种耦合特征现象。进一步分析发生耦合特征现象时的转子模态,发现互相耦合的不同阶特征模态会相互影响。接着,采用双自由度系统模拟转子耦合特征现象,分析耦合度、阻尼以及陀螺力矩对其特性的影响。最后,分析双自由度系统耦合动力学特性,发现系统发生转向及合并现象时,其动力响应会发生突变,导致系统耦合振动幅值增大,甚至系统失稳。研究成果可为转子系统安全稳定运行提供理论指导。With the development of high flow turbopumps,the size and speed of impellers have increased rapidly,resulting in the coupling vibration phenomenon of the turbopump.In order to keep the turbopump running smoothly and reduce its vibration and noise,the coupling dynamics characteristics of the turbopump rotor system were studied in this paper.Firstly,based on the simplified finite element model of the turbopump,it was found that when the rotor frequencies of different orders approach each other in the Campbell chart,two coupling characteristics phenomena of curve turning and merging would occur.Further analysis of the rotor modes conducted for the coupling characteristic phenomenon showed the different orders of the coupling characteristic modes would affect each other.Secondly,a two-degree-of-freedom system was used to simulate the coupling characteristics of the rotor,and then the effects of coupling degree,damping and gyroscopic torque on the characteristics were analyzed.Finally,investigation on the coupling dynamic characteristics of the two-degree-of-freedom system revealed that the dynamic response would change abruptly when the curve turning and merging occurred,leading to the increase of the coupling vibration amplitude and even the instability of the system.The research results could provide theoretical guidance for the safe and stable operation of rotor systems.

关 键 词：特征值耦合 动力学特性 转子系统 坎贝尔图 

分 类 号：TH212[机械工程—机械制造及自动化]