Equivalent Mechanical Model and Vibration Reduction Mechanism of Non-Stacked Multi-Particle Dampers

Abstract In order to further consider the time effect of the collision between the particles and the container on the performance of non-stacked particle dampers (NSPDs) on the basis of the existing equivalent inert single-particle mechanics model (EISM), an equivalent single-particle mechanics model based on the contact element method (EISM-CE) was proposed. A solution algorithm for the motion state of NSPD single-degree-of-freedom structures is constructed based on the Runge–Kutta algorithm subsequently. The rationality test and comparative analysis of the mechanical model were carried out through vibration table tests on the NSPD single-layer steel frame structures. The influence of different filling ratios on the frequency response curve of the structure top displacement has been explored. The principle of EISM-CE parameter values has also been proposed. On the basis of confirming the rationality of the model, the damping performance and energy dissipation law under free vibration, harmonic excitation, and earthquakes were further analyzed through the EISM-CE. Comparative analysis shows that the EISM-CE based on the contact element method and its parameter selection principles are more reasonable and effective than the EISM. The vibration reduction performance analysis shows that the NSPD has good vibration reduction performance under different excitations. There are certain differences in the vibration reduction performance and mechanism between the EISM-CE and EISM after considering the time effect of the collision.