CHEN Wei-ming, SUN Dong-chang, WANG Da-jun, WEI Jian-ping, TONG Li-yong, WANG Quan. Reduction Approaches for Vibration Control of Repetitive Structures[J]. Applied Mathematics and Mechanics, 2006, 27(5): 564-570.
Citation: CHEN Wei-ming, SUN Dong-chang, WANG Da-jun, WEI Jian-ping, TONG Li-yong, WANG Quan. Reduction Approaches for Vibration Control of Repetitive Structures[J]. Applied Mathematics and Mechanics, 2006, 27(5): 564-570.

Reduction Approaches for Vibration Control of Repetitive Structures

  • Received Date: 2004-10-10
  • Rev Recd Date: 2006-01-12
  • Publish Date: 2006-05-15
  • The reduction approaches are presented for vibration control of symmetric, cyclic periodic and linking structures. The condensation of generalized coordinates, the location of sensors and actuators, and the relation between system inputs and control forces were assumed to be set in a symmetric way so that the control system possess the same repetition as the structure considered. By employing proper transformations of condensed generalized coordinates and the system inputed, the vibration control of an entire system can be implemented by carrying out the control of a number of sub-structures, and thus the dimension of the control problem can be significantly reduced.
  • loading
  • [1]
    Evensen D A.Vibration analysis of multi-symmetric structures[J].AIAA Journal,1976,14(4):446—453. doi: 10.2514/3.61383
    [2]
    Thomas D L.Dynamics of rotational periodic structures[J].Internat J Numer Methods Engrg,1979,14:81—102. doi: 10.1002/nme.1620140107
    [3]
    Cai C,Cheung Y,Chan H.Uncoupling of dynamic equations for periodic structures[J].J Sound Vibration,1990,139(2):253—263. doi: 10.1016/0022-460X(90)90886-5
    [4]
    Chan H,Cai C,Cheung Y.Exact Analysis of Structures With Periodicity Using U-Transformation[M].Hong Kong:World Scientific Publication, 1998.
    [5]
    WANG Da-jun,Wang C C.Natural vibration of repetitive structures[J].Chinese J Mech,2000,16(2):85—95.
    [6]
    WANG Da-jun,ZHOU Chun-yan,JIE Rong.Free and forced vibration of repetitive structures[J].Internat J Solids and Structures,2003,40:5477—5494.[JP2]. Bryson A E,Wiesinger F A.Modeling and control of flexible vehicles in space[R]. AD-A219622,1990. doi: 10.1016/S0020-7683(03)00279-8
  • 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 (2022) PDF downloads(639) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return