Optimization performance for a combined damping system with a TMD and a multiple unidirectional single particle damper

Abstract

This research systematically assessed the optimization performance of a combined damping system (CTP) with a Tuned mass damper (TMD) and a multiple unidirectional single particle damper (MUSPD). Firstly, the impact force between the controlled structure and the particle was equivalent to the pulse force, leading to the development of an equivalent mechanical model for the CTP. Subsequently, this model was solved analytically using a blend of frequency domain and time domain methods. Secondly, building upon the analytical solution, a method for optimizing the CTP subjected to both harmonic excitation and ground motions was proposed. Thirdly, the simulation of the CTP validated the accuracy of the equivalent mechanical model and demonstrated the practicality of the optimization method. Finally, a comparative analysis of the optimal performance among the MUSPD, TMD, and CTP was presented. The results indicate that the equivalent mechanical model for the CTP not only facilitates solving dynamic responses but also delineates its damping mechanism. The simulation and theoretical comparison results of CTP indicate that the equivalent mechanical model has good accuracy and the optimization method has good rationality. Subjected to resonant harmonic excitation, the CTP exhibited a damping rate of 94.90% for peak displacement and 96.17% for RMS, while subjected to ground motions, it maintained an average damping rate of 24.16% for peak displacement and 48.67% for RMS. The CTP delivers superior damping effects, a broader suppression frequency band, and heightened robustness compared to the MUSPD and TMD.