Exploration of the physical laws of forced vibration in granular assemblies

To better realize the design and application of particle damping technology, this study explores the physical laws of vibration in granular assemblies within a confined space under forced vibration conditions and investigates the frequency-dependent characteristics of vibration state transitions in cylindrical granular bodies using experimental methods and discrete element methods. The findings indicate that under forced vibration conditions, granular assemblies exhibit five typical states, namely, solid-like, micro-vibrational, intermediate vibrational, strong vibrational, and gas-like. The vibration patterns demonstrate significant frequency-dependent characteristics, and the loss capacity of different vibration states of granular assemblies is discussed. The transition boundary of different vibration states of granular assemblies is analyzed. The influence of particle size, mass, and granular material on the parameters of the vibration state transition boundary is analyzed. The conversion and control of the vibration state of granular assemblies will be beneficial to achieve engineering applications by changing the dynamic behavior of the particles.