An analytical formulation to model geometric and resonant scattering of buried metabarriers for traffic-induced vibrations mitigation. (15th May 2023)

• Record Type: Journal Article
• Authors: Xu, Yifei; Pu, Xingbo; Palermo, Antonio; Marzani, Alessandro; Cai, Yuanqiang; Cao, Zhigang
• Is Part Of: International journal of solids and structures. Volume 270(2023)
• Publication Date: 2023-05-15
• Subjects: Metabarrier -- Resonance bandgap -- Geometric scattering -- Broadband attenuation -- Tunnel-radiated waves; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2023.112237
• Languages: English
• ISSNs: 0020-7683

Abstract

Highlights: A novel buried metabarrier composed of pipe-like resonant units is proposed. An analytical formulation is derived for capturing multiple resonance and geometric scatterings of the metabarrier. Mitigation mechanisms of the metabarrier for ground-borne vibrations are investigated and the capabilities of the proposed formulation are verified. Multiple bandgaps are obtained by coupling the Bragg-type bandgap due to spatial periodicity of pipes and the resonance-type bandgap due to inside resonators. The effects of metabarrier geometric dimension on its resonance behavior are investigated. Abstract: We propose a metabarrier composed of an array of pipes equipped with resonators and develop an analytical formulation to investigate its mitigation performance on tunnel-induced ground-borne vibrations. The formulation calculates the displacement fields of the half-space by modelling the interaction between the tunnel-radiated waves and metabarrier-scattered waves. Both geometric and resonance scattering effects of the metabarrier are taken into account in the metabarrier-scattered waves. With the aid of the wave function method, multiple geometric scatterings of the pipes are considered by imposing the boundary conditions at the soil-tunnel/pipe interfaces, and multiple resonance scatterings of the resonators are computed by accounting for the interplays between the resonators. We demonstrate that the proposed approach can model the tunnel-radiated waves interacting with single-unit and multiple-unit metabarriers. Our analytical formulation can correctly capture multiple bandgaps provided by a periodically arranged metabarrier, namely the bandgaps induced by Bragg-type scattering due to the spatial periodicity of the pipes and the ones induced by resonance-type scattering due to the barrier resonators. As a result, the proposed barriers can be used to shield the broadband incident waves generated by the trains in a tunnel.