EQUIVALENT MODEL OF MULTI-PARTICLE DAMPER CONSIDERING INERTER AND STEADY-STATE SOLUTION OF CONTROLLED STRUCTURE

Multi-particle dampers have a good application prospect in the field of civil engineering structures because of their good damping efficiency and wide frequency band. However, the highly complex nonlinear mechanical properties and the lack of a reasonable mechanical model limit its application and development in practical engineering. In view of this, an equivalent single-particle mechanical model with inerter was established without considering the accumulation of particles. The introduction of inerter further considered the influence of particle rolling on the damping mechanism and effect. Then, the theoretical analysis of a single-degree-of-freedom structure with a multi-particle damper was carried out. The influence of inertance on the frequency response curve of displacement in the non-collision stage and the steady-state analytical solution of periodic collision after collision were analyzed emphatically. Numerical simulation and experimental research were also carried out to verify the correctness of the theoretical analysis. The results show that the equivalent model proposed can further clarify the nonlinear characteristics of the multi-particle damper after considering the inerter. The inertia coefficient has a significant influence on the frequency response curve of the controlled structure in the non-collision stage and the analytical solution (boundary and stability) of the periodic motion after collision. The steady-state analytical solution of periodic motion provides a theoretical basis for further parameter influence analysis and for damping mechanism analysis of particle dampers.