Energy analysis of particle tuned mass damper systems with applications to MDOF structures under wind-induced excitation

In recent years, particle damper has been proved to be an effective vibration control strategy in various fields. In this study, an energy-evaluation model of particle tuned mass damper (PTMD) attached on a Multi Degree of Freedom (MDOF) structure (76-story high-rise building) under wind excitation is established based on an equivalent simplified method, and the simulation results are validated by a wind tunnel experiment. The energy related in the whole structural system, including the kinetic energy, elastic potential energy, energy dissipated by the structural damping and external input energy, has been analyzed in detail, and the energy transmission effect between the main structure and the attached PTMD has been investigated through the time history response of the input energy distribution. It is found that PTMD shows favorable energy dissipation performance, a large percentage of the input energy transfers from the main structure to PTMD in the first few seconds, and after that the particle-container wall collision consumes the main proportion of the input energy. Moreover, a series of systematic parametric analyses are conducted, including volume filling ratio, PTMD auxiliary mass ratio, particle damping coefficient and frequency ratio of PTMD. Furthermore, a full factorial study is conducted to investigate the interaction effect of different parameters. The results show that the combination of the parameters has a significant effect on the energy dissipation performance of PTMD, a parametric designing procedure has been given accordingly.