Optimal design of inerter‐based nonpacked particle damper considering particle rolling

Abstract

This paper presents an optimal design method for a nonpacked particle damper (NPPD) based on a simplified mechanical model and corresponding damping mechanism analysis. First, an equivalent inertial single-particle mechanics model (EISM) and the corresponding equivalent principle were proposed to consider the influence of particle rolling on the vibration reduction. The experimental verification of the EISM under seismic ground motion was subsequently carried out. Based on a reasonable verification of the proposed model, an analytical solution of the EISM single-degree-of-freedom structure system for the symmetric two-impacts-per-cycle motion was obtained. The influence analyses of collision distance on the damping effect and the damping mechanism under resonance and nonresonance harmonic excitation were performed. The theoretical calculation formula for the optimal collision distance for energy consumption was obtained based on the damping mechanism analysis. Finally, numerical simulations under harmonic excitation and seismic ground motion were carried out to verify the rationality and generalization of the proposed optimal collision distance. Accordingly, an optimal design method for the NPPD was proposed.Based on the proposed optimization method, the vibration reduction effect of NPPD under far-field records, near-fault pulse-like records, and near-fault nonpulse records are discussed. The analysis results show that the vibration reduction effect of the NPPD is affected by the response frequency of the uncontrolled structure. The proposed optimization method can be used as the basis for the optimization of NPPD under earthquakes. K E Y W O R D Sequivalent inertial single-particle mechanics model, equivalent principle, inerter, nonpacked particle damper, optimal collision distance, periodic motion analysis INTRODUCTIONSince Yao 1 introduced the concept of vibration control to civil engineering in 1972, structural vibration control has been recognized widely as an efficient approach to mitigate the dynamic response of civil engineering under arbitrary external excitations such as wind and earthquakes. 2 Various damping devices and systems have been widely studied in theory, and for innovation and design methodology in practical engineering applications, including vibration isolation, energy consumption, passive control, active control, and hybrid control. 3,4 As passive damping devices, multiparticle 1908

Periodic motion and optimization design of non‐stacked particle damper based on the double inert mass equivalent model

“…It should be noted that there is a linear relationship between C 1 and excitation amplitude, A . Therefore, $$k_{opt}^{\Delta} $$ is not affected by A , which is obviously different from the conclusion based on the equivalent single‐particle mechanical model 27 …”

“…Although the analytical solution of $$k_{opt}^{\Delta} $$ has not been obtained considering the complex coupling relationship, the variation law of $$k_{opt}^{\Delta} $$ with ω / ω n obtained by the numerical analysis method is reasonable compared with the law in Ref. 27 with the increase of λ , the sensitivity of $$k_{opt}^{\Delta} $$ subjected to the effects of λ decreases gradually. With the increase of ω / ω n , $$k_{opt}^s$$ increases linearly approximately and gradually increases with the increase of λ . In general, although there are differences in the size and change law of $$k_{opt}^D$$, $$k_{opt}^s$$ and $$k_{opt}^{\Delta} $$ with the increase of ω / ω n , the values are basically the same at ω = ω ne .…”

“…Although the analytical solution of $$k_{opt}^{\Delta} $$ has not been obtained considering the complex coupling relationship, the variation law of $$k_{opt}^{\Delta} $$ with ω / ω n obtained by the numerical analysis method is reasonable compared with the law in Ref. 27 with the increase of λ , the sensitivity of $$k_{opt}^{\Delta} $$ subjected to the effects of λ decreases gradually. With the increase of ω / ω n , $$k_{opt}^s$$ increases linearly approximately and gradually increases with the increase of λ .…”

“…With the increase of ω / ω n , $$k_{opt}^s$$ increases linearly approximately and gradually increases with the increase of λ . In general, although there are differences in the size and change law of $$k_{opt}^D$$, $$k_{opt}^s$$ and $$k_{opt}^{\Delta} $$ with the increase of ω / ω n , the values are basically the same at ω = ω ne . It should be noted that the optimal k at ω = ω ne still has important guiding significance for the optimal design of NSPD 27 . The comparative analysis shows that when the ω is close to ω ne , $$k_{opt}^{\Delta} $$ is more sensitive to the change of ω , while $$k_{opt}^s$$ is less affected by ω .…”

“…A theoretical formula for the optimal collision distance under resonance excitation was subsequently obtained 26 . Based on the EISM and the correspondingly analytical solution of symmetric motion with two impacts per cycle, Huang 27 proposed an optimal design method for the NSPD. The influences of different seismic excitations on the performance of NSPD shown that the proposed design method has good reference value.…”