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.
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