Nonlinear building vibration control

To reflect the nonlinear characteristic of building structures, the bouc-wen model is introduced, but it is difficult to reduce the model order and design the controller for the nonlinear model. A new strategy for vibration active control based on energy is proposed, where the amplitude of control force is derived by comparing permitting energy with actual energy, and whose direction is determined by the energy derivative. The proposed method takes the advantages of simple calculation and convenient operation as it is unnecessary to solving the linear matrix ine-qualities (LMls). The output control forces are identical if the used actuators are endowed with the same capacity limitation to simplify the design of controllers and avoid multi control system. And the step function is adopted as the control function to facilitate constructing the control system. An example of 6-storey building is simulated to verify feasibility of the proposed method.