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.

An analytical formulation to model geometric and resonant scattering of buried metabarriers for traffic-induced vibrations mitigation / Xu Y.; Pu X.; Palermo A.; Marzani A.; Cai Y.; Cao Z.. - In: INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES. - ISSN 0020-7683. - ELETTRONICO. - 270:(2023), pp. 112237.112237-112237.112251. [10.1016/j.ijsolstr.2023.112237]

An analytical formulation to model geometric and resonant scattering of buried metabarriers for traffic-induced vibrations mitigation

Pu X.;Palermo A.;Marzani A.;
2023

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.
2023
An analytical formulation to model geometric and resonant scattering of buried metabarriers for traffic-induced vibrations mitigation / Xu Y.; Pu X.; Palermo A.; Marzani A.; Cai Y.; Cao Z.. - In: INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES. - ISSN 0020-7683. - ELETTRONICO. - 270:(2023), pp. 112237.112237-112237.112251. [10.1016/j.ijsolstr.2023.112237]
Xu Y.; Pu X.; Palermo A.; Marzani A.; Cai Y.; Cao Z.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/940493
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