动静偏心电磁激励下水电机组碰摩转子-轴承系统弯扭耦合振动特性分析

PDF(1995 KB)

振动与冲击 ›› 2021, Vol. 40 ›› Issue (12) : 236-245.

论文

张金剑1，张雷克1，吴嵌嵌2，马震岳3

作者信息 +

Coupled bending-torsional vibration characteristics analysis for a rotor-bearing system with rub-impact of hydraulic generating set under both dynamic and static eccentric electromagnetic excitation

ZHANG Jinjian1, ZHANG Leike1, WU Qianqian2, MA Zhenyue3

Author information +

文章历史 +

摘要

基于对同时考虑定转子间动、静偏心不平衡磁拉力模型的构建，建立了电磁激励下水电机组碰摩转子-轴承系统弯扭耦合振动非线性动力学方程，采用数值分析方法研究了质量偏心、励磁电流和气隙动静偏心参数变化对系统动态响应的影响，并与仅考虑广义气隙偏心影响下机组碰摩弯扭耦合振动模型进行了对比。结果表明，随着质量偏心的增大，系统弯扭耦合作用明显增强。动、静偏心的加入显著改变了系统动态特性，周期7及周期10等新的运动特征得以显现。此外，动、静偏心对系统动态响应的表现形式影响存在明显不同。相比于静偏心，以诱发一倍转频电磁激励成分为主的动偏心故障更容易使机组产生较大振动，甚至造成全周碰摩情况发生，需要引起足够的重视。

Abstract

Based on the establishment of an unbalanced magnetic pull model considering both dynamic and static eccentricity, the corresponding dynamic equations of a coupled bending-torsional rotor-bearing system with rub-impact under electromagnetic excitation for hydraulic generating set were derived．A numerical analysis method was adopted to investigate the effect of mass eccentricity, excitation current, air gap dynamic and static eccentricity on nonlinear dynamic response of the system, compared with the previous similar model taking account into the single generalized air gap eccentricity.It is shown from the results that the bending-torsion coupling effect of the system is obviously increased with the augment of mass eccentricity.And the dynamic characteristics of the system are significantly influenced due to the existence of dynamic and static eccentricity, where the new dynamic phenomenon such as period-seven and period-ten appear.In addition, the impact on the dynamic response of the system is obviously different in terms of dynamic and static eccentricity.In comparison to static eccentricity, the dynamic fault, mainly inducing 1x frequency electromagnetic excitation component, is more likely to result in larger vibration, even full annular rubbing for the unit, which should be paid enough attention.

导出引用

张金剑1，张雷克1，吴嵌嵌2，马震岳3. 动静偏心电磁激励下水电机组碰摩转子-轴承系统弯扭耦合振动特性分析[J]. 振动与冲击, 2021, 40(12): 236-245

ZHANG Jinjian1, ZHANG Leike1, WU Qianqian2, MA Zhenyue3. Coupled bending-torsional vibration characteristics analysis for a rotor-bearing system with rub-impact of hydraulic generating set under both dynamic and static eccentric electromagnetic excitation[J]. Journal of Vibration and Shock, 2021, 40(12): 236-245

参考文献

［1］BEATTY R F.Differentiating rotor response due to radial rubbing［J］.Journal of Vibration Acoustics Stress and Reliability in Design, 1985, 107(2): 151-160.
［2］MUSZYNSKA A.Rotor-to-stationary element rubbing-related vibration phenomena in rotating machinery literature survey［J］.The Shock and Vibration Digest,1989,21(3):3-11.
［3］EDWARDS S, LEES A W, FRISWELL M I.The influence of torsion on rotor-stator contact in rotating machinery［J］.Journal of Sound and Vibration, 1999, 225(4): 767-778.
［4］FLOWERS G T, FANG S W.A study of the influence of bearing clearance on lateral coupled shaft-disk rotor dynamics［J］.Journal of Engineering for Gas Turbines and Power, 1992, 115(2): 279-286.
［5］SUN Z, XU J, ZHOU T, et al.Study on influence of bending-torsion coupling in an impacting-rub rotor system［J］.Applied Mathematics and Mechanics, 2003, 24(11): 1316-1323.
［6］INAYAT-HUSSAIN J I.Nonlinear dynamics of a magnetically supported rigid rotor in auxiliary bearings［J］.Mechanism and Machine Theory, 2010, 45(11): 1651-1667.
［7］VARNEY P, GREEN I.Nonlinear phenomena, bifurcations, and routes to chaos in an asymmetrically supported rotor-stator contact system［J］.Journal of Sound and Vibration, 2015, 336(3): 207-226.
［8］HUA C, CAO G, RAO Z, et al.Coupled bending and torsional vibration of a rotor system with nonlinear friction［J］.Journal of Mechanical Science and Technology, 2017, 31(6): 2679-2689.
［9］王峰，吴志强，李亚杰.电磁激励下开关磁阻电机转子的弯曲振动分析［J］.振动与冲击, 2018, 37(18):243-250.
WANG Feng, WU Zhiqiang, LI Yajie.Bending vibration analysis of switched reluctance motor rotor under electromagnetic excitation ［J］.Journal of Vibration and Shock, 2018, 37(18): 243-250.
［10］ZHU R, WANG G, HAN Q, et al.Dynamic characteristics and experimental research of a two-span rotor-bearing system with rub-impact fault［J］.Shock and Vibration, 2019, DOI: 10.1155/2019/6309809.
［11］HOU L, CHEN H, CHEN Y, et al.Bifurcation and stability analysis of a nonlinear rotor system subjected to constant excitation and rub-impact［J］.Mechanical Systems and Signal Processing, 2019,125:65-78.
［12］AN X, ZHOU J, XIANG X, et al.Dynamic response of a rub-impact rotor system under axial thrust［J］.Archive of Applied Mechanics, 2009, 79(11): 1009-1018.
［13］HUANG Z, ZHOU J, YANG M, et al.Vibration characteristics of a hydraulic generator unit rotor system with parallel misalignment and rub-impact［J］.Archive of Applied Mechanics, 2011, 81(7): 829-838.
［14］ZHANG L, MA Z, SONG B.Dynamic characteristics of a rub-impact rotor-bearing system for hydraulic generating set under unbalanced magnetic pull［J］.Archive of Applied Mechanics, 2013, 83(6): 817-830.
［15］苟东明，宋志强，郭鹏程，等.水轮发电机转子系统碰摩弯扭耦合振动分析［J］.水力发电学报, 2015, 34(12):115-122.
GOU Dongming, SONG Zhiqiang, GUO Pengcheng, et al.Analysis of flexural-torsional coupled vibration of rubbing friction of rotor system of hydro-generator ［J］.Journal of Hydroelectric Engineering, 2015, 34(12): 115-122.
［16］ZHANG L, MA Z, WU Q, et al.Vibration analysis of coupled bending-torsional rotor-bearing system for hydraulic generating set with rub-impact under electromagnetic excitation［J］.Archive of Applied Mechanics, 2016, 86(9): 1665-1679.
［17］万书亭，李和明，李永刚.气隙偏心对汽轮发电机定转子振动特性的影响［J］.振动与冲击, 2005,24(6):21-23.
WAN Shuting, LI Heming, LI Yonggang.Influence of air gap eccentricity on vibration characteristics of stator and rotor of turbogenerator ［J］.Journal of Vibration and Shock, 2005, 24(6): 21-23.
［18］唐贵基，邓玮琪，何玉灵.不同种类气隙偏心故障对汽轮发电机转子不平衡磁拉力的影响［J］.振动与冲击,2017,36(15):1-8.
TANG Guiji, DENG Weiqi, HE Yuling.Effect of different kinds of air gap eccentricity faults on the unbalanced magnetic pull of a turbo-generator rotor ［J］.Journal of Vibration and Shock, 2017, 36(15): 1-8.
［19］何玉灵，万书亭，唐贵基，等.基于定子振动特性的汽轮发电机气隙偏心故障程度鉴定方法研究［J］.振动与冲击, 2012, 31(22): 53-57.
HE Yuling, WAN Shuting, TANG Guiji, et al.Study on identification method of air-gap eccentric fault degree of turbo-generator based on stator vibration characteristics ［J］.Journal of Vibration and Shock, 2012, 31(22): 53-57.
［20］LI Y, ZHOU G, WAN S, et al.Analysis of unbalanced magnetic pull on turbo-generator rotor under air-gap eccentric fault and rotor short circuit fault［J］.International Journal of Advancements in Computing Technology,2013,5(4):523-530.
［21］徐学平，韩勤锴，褚福磊.静载荷作用下偏心转子电磁振动特性［J］.清华大学学报(自然科学版), 2016, 56(2): 176-184.
XU Xueping, HAN Qinkai, CHU Fulei.Electromagnetic vibration characteristics of eccentric rotor under static load ［J］.Journal of Tsinghua University (Science and Technology), 2016, 56(2): 176-184.
［22］岳二团，甘春标，杨世锡.气隙偏心下永磁电机转子系统的振动特性分析［J］.振动与冲击, 2014, 33(8):29-34.
YUE Ertuan, GAN Chunbiao, YANG Shixi.Analysis of vibration characteristics of permanent magnet motor rotor system with air gap eccentricity ［J］.Journal of Vibration and Shock, 2014, 33(8): 29-34.
［23］徐进友, 刘建平, 宋轶民, 等.考虑电磁激励的水轮发电机组扭转振动分析［J］.天津大学学报, 2008, 41(12): 1411-1416.
XU Jinyou, LIU Jianping, SONG Yimin, et al.Torsional vibration analysis of hydro-generators considering electromagnetic excitation ［J］.Journal of Tianjin University, 2008, 41(12): 1411-1416.
［24］付波.基于弯扭耦合振动与轴心轨迹辨识的水轮发电机组故障诊断研究［D］.武汉：华中科技大学, 2006.
［25］HUA C, CAO G, RAO Z, et al.Coupled bending and torsional vibration of a rotor system with nonlinear friction［J］.Journal of Mechanical Science and Technology, 2017, 31(6): 2679-2689.