Study on model reduction of large structural systems for active vibration control

This paper studies the applicability of the Dynamic Model Reduction Method that is used for direct plant order reduction in active vibration control of large and flexible structures. By using a twentystorey building model as the plant, the accuracy of the frequency responses of the reduced 3 degrees of freedom models was firstly evaluated with sinusoidal applied forces. For the closedloop dynamic analysis, the tall building model with an active mass damper at the top storey and recorded earthquake excitation was used. The results of the simulations have indicated that the dynamic model reduction method can be used as an alternative approach for model reduction of structural systems for the purpose of active vibration control. Compared with the Guyan model reduction method, the dynamic model reduction method has many advantages, especially in terms of its accuracy at the high frequency range. The mode-displacement method produces reduced models that are good for dynamic analysis of open-loop systems but it is inconvenient for the use in active vibration control.