ZHOU Xing-de, CHEN Dao-zheng. Active Vibration Control of Nonlinear Benchmark Buildings[J]. Applied Mathematics and Mechanics, 2007, 28(4): 441-446.
Citation: ZHOU Xing-de, CHEN Dao-zheng. Active Vibration Control of Nonlinear Benchmark Buildings[J]. Applied Mathematics and Mechanics, 2007, 28(4): 441-446.

Active Vibration Control of Nonlinear Benchmark Buildings

  • Received Date: 2005-08-16
  • Rev Recd Date: 2007-01-23
  • Publish Date: 2007-04-15
  • The present nonlinear model reduction methods unfit for nonlinear benchmark buildings as their vibration equations belong to non affine system. Meanwhile, the controllers designed directly by nonlinear control strategy have a high order and are the difficult to be applied actually. Therefore, a new active vibration control way which fits nonlinear buildings was proposed. The idea of the proposed way was based on model identification and structural model linearization, exerting the control force to the built model according to the force action principle. The proposed way has a better practicability as the built model can be reduced by balance reduction method based on the empirical Grammian matrix. At last, a 3 storey benchmark structure was presented. Simulation results illustrate that the proposed method is viable for civil engineering structures.
  • loading
  • [1]
    Ohtori Y, Christenson R E,Spencer B F,et al.Benchmark control problems for seismically excited nonlinear buildings[J].J Engineering Mechanics,2004,130(4):366-384. doi: 10.1061/(ASCE)0733-9399(2004)130:4(366)
    [2]
    Kwang S,Lee K S,Eoma Y T,et al.A control-relevant model reduction technique for nonlinear systems[J].Computers and Chemical Engineering,2000,24(2):309-315. doi: 10.1016/S0098-1354(00)00465-8
    [3]
    蔡国平,孙峰,王超.建筑结构振动优化混合控制[J].工程力学,2004,17(2):129-133.
    [4]
    Kamibayashi M, Mita A.Online identification of a building with an active control device[J].Advances in Earthquake Engineering,2003,13(4):263-271.
    [5]
    Hojati M, Gazor S.Hybrid adaptive fuzzy identification and control of nonlinear systems[J].IEEE Transactions on Fuzzy Systems,2002,10(2):198-210. doi: 10.1109/91.995121
    [6]
    Ogiyama K,Sato T.Nonlinear structural system identification using shaking table test data of five-story model building[A].In:Tribkram Kundu Ed.Proceedings of SPIE, Health Monitoring and Smart Nondestructive Evaluation of Structural and Biological Systems Ⅲ[C].5394.San Diego,CA:International Society for Optical Engineering,2004,475-484.
    [7]
    Hahn J,Edgar T F. An improved method for nonlinear model reduction using balancing of empirical gramians[J].Computers and Chemical Engineering,2002,26(10):1379-1397. doi: 10.1016/S0098-1354(02)00120-5
    [8]
    Overschee V P, Moor D. N4SID: subspace algorithms for the identification of combined deterministic-Stochastic systems[J].Automatica,1994,30(1): 75-93. doi: 10.1016/0005-1098(94)90230-5
  • 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 (2792) PDF downloads(598) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return