Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (4): 487-493 .doi: https://doi.org/10.1007/s10483-007-0409-x

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Active vibration control of nonlinear benchmark buildings

周星德, 陈道政   

  • 收稿日期:2005-08-16 修回日期:2007-01-23 出版日期:2007-04-18 发布日期:2007-04-18
  • 通讯作者: 周星德

Active vibration control of nonlinear benchmark buildings

ZHOU Xing-de, CHEN Dao-zheng   

    1. Department of Engineering Mechanics, Hohai University, Nanjing 210098, P. R. China;
    2. College of Civil and Architectural Engineering, Hefei University of Technology,Hefei 230009, P. R. China
  • Received:2005-08-16 Revised:2007-01-23 Online:2007-04-18 Published:2007-04-18
  • Contact: ZHOU Xing-de

Abstract: The present nonlinear model reduction methods unfit the nonlinear benchmark buildings as their vibration equations belong to a non-affine system. Meanwhile, the controllers designed directly by the nonlinear control strategy have a high order, and they are difficult to be applied actually. Therefore, a new active vibration control way which fits the nonlinear buildings is proposed. The idea of the proposed way is based on the model identification and structural model linearization, and exerting the control force to the built model according to the force action principle. This proposed way has a better practicability as the built model can be reduced by the balance reduction method based on the empirical Grammian matrix. A three-story benchmark structure is presented and the simulation results illustrate that the proposed method is viable for the civil engineering structures.

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