Particle damping equivalent method based on force chain for high frequency vibration reduction: Mechanism analysis and experimental verification.

• This paper proposes a particle damping equivalent method based on force chain for simulating the behavior of PD. • The newly proposed method considers the contact between particles and the motion state of particles. • The shaking table test and corresponding numerical simulation are conducted under high-frequency vibration condition. • The effectiveness and superiority of the method are demonstrated and the particle motion state is confirmed. A particle damping equivalent method based on force chain is newly proposed for simulating the behavior of particle damper (PD) with higher accuracy. Compared with other existing equivalent methods, this method considers the contact between particles and evaluates the particle motion state. Firstly, the particle damping equivalent method based on the theory of force chain and contact model is proposed, and the simulation process of the equivalent method is described. Then, this equivalent method is adopted to simulate the high frequency vibration of pipe installed with PD using SAP2000 software. The simulated vibration response exhibits excellent agreement with experimental results, validating the effectiveness of the proposed equivalent method. Finally, based on the calculation results, it is observed that the particle motion state of the PD in the experiment is quasi-static. This further shows that the particle chain in the damper under high frequency vibration can ignore the wave propagation behavior, which aligns with the assumption of the particle contact model. [ABSTRACT FROM AUTHOR]