Analytical solutions for particle damping in vertical vibration

Abstract

Particle damper is a passive vibration absorber which attenuates response of a vibrating structure using small particles within cavities embedded in the structure. The damper is promising cspeciall for harsh environments, but the damping mechanism is very complicated and highly nonlinear, compared to the conventional damping techniques. In this paper. the approximate analytical model is developed for the vertical forced vibration of the damper. The granular particle bed in cavity is modeled as a single body w itli effective coeflicieni of restitution which can wrap all energy dissipation mechanism for reasonable bed/layer thickness. Numerical simulations and theoretical aiialvsis based on this model yield results which are in accord with the experimental obsenations for the adequate mass ratios, bed/layer thickness. number of particles. and excitation levels. With this as a basis, numerical studies were camed to compare the results obtained b discrete elements method (DEM).