| dc.description.abstract | This study aims to develop a novel type of multiple active tuned mass dampers (MATMDs) to enhance the safety and stability of building structures under seismic activity. We propose a phase control multiple active tuned mass damper (PC-MATMD) system and categorize the active control laws into two types based on the required measured outputs: one is the phase control displacement feedback-multiple active tuned mass dampers (PCD-MATMDs), which uses the feedback of the structure’s relative displacement to the ground; the other is the phase control acceleration feedback-multiple active tuned mass dampers (PCA-MATMDs), which uses the feedback of the structure’s absolute acceleration. The PC-MATMD system consists of multiple small active tuned mass dampers, replacing the single large ATMD typically seen in traditional structural active control. This diversified small ATMD configuration can reduce the size of each individual ATMD and the actuation force required, simplifying the design, manufacturing, and installation processes.This article proposes two phase control laws, PCD-MATMD and PCA-MATMD. When PCD-MATMD calculates the phase control force, the configuration matrix of the control force is uncoupled and can be calculated independently. However, the absolute acceleration signal of the measurement structure required by PCA-MATMD is susceptible to high-frequency noise interference. Therefore, a filter needs to be designed, and when the system combines the filter, the feedforward coefficient of the filter is designed to be 0, so that the control force of each PCA-MATMD can be calculated independently.This study divides the optimization design of PCD-MATMD and PCA-MATMD into two stages. Firstly, the passive component parameters are optimized, and then the gain matrix of phase control is optimized based on this. Both stages utilize direct output feedback for optimization design. This article conducts numerical simulation analysis on single ATMD and multiple MATMDs with equivalent mass ratios. The results show that multiple MATMDs can achieve equivalent shock absorption effects as a single ATMD, while effectively reducing control force requirements. In addition, frequency response functions and numerical simulation analysis of earthquake duration were also used. Even if some PC-MATMDs fail, the remaining PC-MATMDs can still maintain a certain damping effect, ensuring the stability and sustained performance of the system.Finally, stability analysis is performed on the gain matrix of phase control force and time delay. In the stability analysis of the gain matrix, the results show that there is a certain margin between the amplitude ratio and the gain coefficient; in the stability analysis of time delay, the minimum value of the maximum delay time of PC-MATMDs is 0.02 seconds. If the time delay generated by the actuator does not exceed this value, the system stability will not be affected. | en_US |