Modeling of granular particle damping using multiphase flow theory of gas-particle

A theoretical model based on multiphase flow theory of gas-particle is developed to evaluate the granular particle damping characteristics. Expressions for the drag forces of the equivalent viscous damping and the Coulomb friction damping are formulated respectively. The nonlinear free vibration of an exemplified cantilever particle-damping beam is analyzed by using the averaging method based on the first approximation. Numerical results are also presented to illustrate general characteristics of the particle-damping beam. An experimental verification is performed, and a good correlation between the theoretical results and the experimental data shows that the theoretical work in this paper is valid.