Abstract
This paper presents a control design method considering both non-linear characteristic of a structure and non-stationary characteristic of earthquake motions for the purpose of reduction of the building response subjected to earthquake. A single-degree-of-freedom whose rigidity is bi-linear hysteresis during non-stationary disturbance such as earthquake is dealt with and the optimal control system is obtained by applying the equivalent linearization technique. First, the equivalent linearization of the non-linear structure is performed by using the 2nd moment of the building responses such as displacement, velocity, acceleration, etc. Next, a non-stationary model of ground motions is shaped from white noise. And an augmented model is made by including the equivalently linear model of non-linear structure and the non-stationary disturbance model. Finally, the optimal control system for the augmented system is obtained. In order to investigate the usefulness of the proposed method, computer simulation is carried out and this method is verified.
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