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Effects of the inertance-to-mass ratio of C2 on the dimensionless (a) power transmission ratio Rt and (b) force transmissibility, for a finite foundation structure ( L = 10 m , h = 0 . 02 m , d = 0 . 1 m , ρ = 2700 kg / m 3 , E = 69 GPa , ξ = 0 . 02 , μ = 0 . 5 , F ~ 0 = 1 ).
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This study investigates the vibration power flow behavior and performance of inerter-based vibration isolators mounted on finite and infinite flexible beam structures. Two configurations of vibration isolators with spring, damper, and inerter as well as different rigidities of finite and infinite foundation structures are considered. Both the time-...
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... Results show that the primary channel is the last elastic element that should be given priority during the vibration reduction design process. The VPF index can more properly represent the nature of vibration energy propagation than the traditional force transmissibility and motion transmissibility index, and thus yield wide usage in the dynamic analysis of a vibration isolation system [20][21][22]. Similarly, transfer path analysis based on the VPF index is more reasonable than the traditional TPA. ...
In the marine gear system, the vibration of gears is transmitted to the ship foundation through shafts, bearings, housing, and isolators, and then the underwater noise is generated. Analyzing the vibration transfer properties and identifying the critical path can provide guidance to the low-noise design of the gear system. In this paper, a coupled gear-housing-foundation dynamic model is proposed for a flexible supported gear system, in which the flexibility of each subsystem and the coupling relationship between them are taken into account. The transferring process of gear vibration is divided into different layers between gears, shafts, bearings, housing, isolators, and ship foundation. Based on the vibration power flow (VPF) theory, detailed layering vibration transfer path analyses of the gear isolation coupled system are carried out for both location path and direction path, and the main paths are identified in a broad speed range. The results indicate that though the gear vibration transferred to the foundation attenuate layer by layer, there may be reverse VPF in some special location path and direction path under resonance conditions.
... To further demonstrate the efficacy and practicality of this design, we perform numerical studies on twodimensional lattices with embedded inerters. Due to the close relevance to engineering applications, there have been many pioneering studies realizing band gaps in twoand three-dimensional metamaterials with other leveror geometry-based inertial amplified structures [57][58][59][60], as well as two-dimensional structures that incorporate a flat plate [61][62][63][64] or a beam [50,53,[65][66][67][68][69] as the base structure with inerter-based resonators. However, none of the designs so far can achieve band gaps at the ultralow dimensionless frequency of f = a/λ ∼ 10 −4 . ...
We reveal the unique and fundamental advantage of inerter-based elastic metamaterials by a comparative study among different configurations. When the embedded inerter is connected to the matrix material on both ends, the metamaterial shows definite superiority in forming a band gap in the ultra-low frequency -- equivalently the ultra-long wavelength -- regime, where the unit cell size can be four or more orders of magnitude smaller than the operating wavelength. In addition, our parametric studies in both one and two dimensions pave the way towards designing next-generation metamaterials for structural vibration mitigation.
We reveal the unique and fundamental advantage of inerter-based elastic metamaterials by a comparative study among different configurations. When the embedded inerter is connected to the matrix material on both ends, the metamaterial shows definite superiority in forming a band gap in the ultra-low frequency - equivalently the ultra-long wavelength - regime, where the unit cell size can be four or more orders of magnitude smaller than the operating wavelength. In addition, our parametric studies in both one and two dimensions pave the way towards designing next-generation metamaterials for structural vibration mitigation.
