HU Yu-da, QIU Jia-jun, TA Na. Fundamental Resonance and Bifurcation of Large Generator End Winding When Its Clamping Plates Are Loose[J]. Applied Mathematics and Mechanics, 2005, 26(4): 465-473.
Citation: HU Yu-da, QIU Jia-jun, TA Na. Fundamental Resonance and Bifurcation of Large Generator End Winding When Its Clamping Plates Are Loose[J]. Applied Mathematics and Mechanics, 2005, 26(4): 465-473.

Fundamental Resonance and Bifurcation of Large Generator End Winding When Its Clamping Plates Are Loose

  • Received Date: 2003-01-19
  • Rev Recd Date: 2004-09-28
  • Publish Date: 2005-04-15
  • Vibration problems of a segment of winding between two clamping plates are studied when the clamping plates,which are used to fix stator end winding,are loose.First,magnetic induction expressions of the winding when the generator was running were given by using separation of variables method.Also,the expressions of the winding electromagnetic force and dry friction force between loosing clamping plates were gotten.Secondly,a mechanical model,which was used to study nonlinear vibration problem of the winding,was set up.Fundamental resonance was analyzed by using multiple scales method,and a resonance equation of amplitude and frequency in steady state was given. Then stability,bifurcation and singularity of the steady solution were studied.Criterions of stability and transition set of the bifurcation equation were obtained.At last,through numerical calculations, resonance curves were obtained.The results are helpful for analysis and protection of generator accidents.
  • loading
  • [1]
    邱家俊.电机的机电耦联与磁固耦合非线性振动研究[J].中国电机工程学报,2002,22(5):109—115.
    [2]
    汪耕,王作民,邵亚声,等.汽轮发电机的振动问题(上)[J].振动与冲击,1999,18(4):1—5.
    [3]
    胡宇达.大型汽轮发电机定子端部绕组的电磁固体振动问题研究[D].博士学位论文.天津:天津大学,2003,12—44.
    [4]
    汤蕴.电机内的电磁场[M].北京:科学出版社,1981,278—306.[WT5”BZ]. Вольдек А И.Основы методики расчёта магнитных полей лобовых частей обмоток электрических машин[J].Электричество,1963,(1):42—48.
    [6]
    Амбарцумян С А, Багдасарян Г Е, Белубекян М В.Магнитоупругость Тонких Оболочек и Пластин[M]. Москва: Наука,1977:150—163.
    [7]
    Wickert J A. Analysis of self-excited longitudinal vibration of a moving tape[J].Journal of Sound and Vibration,1993,160(3):455—463. doi: 10.1006/jsvi.1993.1038
    [8]
    Stelter P. Nonlinear vibrations of structures induced by dry friction[J].Nonlinear Dynamics,1992,3(3):329—345. doi: 10.1007/BF00045070
    [9]
    Nayfeh A H, Mook D T.Nonlinear Oscillations[M].New York: John Wiley & Sons,1979:203—219.
    [10]
    Golubisky M, Schaefler D G.Singularities and Groups in Bifurcation Theory[M].New York: Springer-Verlag,1985:267—271.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2597) PDF downloads(657) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return