| dc.description.abstract | The purpose of this study is to verify the application of the Phase Control absolute Acceleration feedback-Active Tuned Mass Damper (PCA-ATMD) with real-time filter to the Single-Degree-of-Freedom (SDOF) and Multiple-Degree-of-Freedom (MDOF) structure, which combines the Bouc-Wen Model to simulate the response of the nonlinear behavior. These structures are implemented with the PCA-ATMD for numerical simulations, including frequency response functions and time history responses analysis. PCA-ATMD is to apply a control force between the TMD mass and the structure, so that the PCA-ATMD can achieve 90-degree phase lag of structure to induce maximum power flow resulting in outstanding vibration reduction capability. In the equation of motion, the Bouc-Wen Model′s restoring force is combined with the linear restoring force of the structure, resulting in a softening-hardening restoring force. This configurtion is to maintain the state-space system matrix as a constant coefficient stable matrix, which leads to improved numerical stability when calculating the structural response under nonlinear behavior. In order to use the Runge-Kutta Method in the numerical simulation analysis, the discrete-time filter transfer function is transformed into a continuous-time filter. Subsequently, the system of the structure with the PCA-ATMD is combined with the filter, and then the Direct Output Feedback is used to optimal design the PCA-ATMD to obtain the optimal gain matrix. This study investigates the frequency response functions of both uncontrolled and controlled structures, the results indicate that when the structure reaches yielding displacement and exhibits slight nonlinear behavior, the response of the structure is suppressed by implemented with the PCA-ATMD, which outperforms the passive Tuned Mass Damper (PTMD). When the structure shows significantly nonlinear behavior, the response of the structure implemented with the PCA-ATMD still exhibits certain seismic reduction effects, and the PCA-ATMD system remains stable and controllable. Finally, time history response analyses are conducted using multiple earthquake records as input ground accelerations, and than the responses of the SDOF and MDOF structure implemented with the PCA-ATMD separately can be obtained. When the structure enters into the nonlinear behavior, the structural responses of displacement and base shear are both less than the uncontrolled and PTMD controlled system. The damage of the structure is therefore reduced and also the active controlled system is still stable. However, the absolute acceleration response of the structure is slightly enlarged. Overall, the PCA-ATMD still exhibits seismic mitigation effects, but the performce is gradually constrained because of the nonlinear behavior of the structure.
Keywords： tuned mass damper, active control, phase control, nonlinear structural behavior, Bouc-Wen Model, Runge-Kutta Method | en_US |