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Filtering properties of locally resonant periodic foundations (LRPFs) haveinspired an innovative direction towards the mitigation of structuralvibrations. To mitigate the structure-borne vibrations from subways, this studyproposes an LRPF equipped with a negative stiffness device connecting theresonator and primary structure. The proposed LRPF can exhibit a quasi-staticband gap covering the ultra-low frequency range. These frequency componentshave the properties of strong diffraction and low attenuation and contributethe most to the incident wave fields impinging on nearby buildings. Byformulating the interaction problem between the tunnel-ground andLRPF-superstructure systems, the mitigation performance of the proposed LRPF isevaluated considering the effects of soil compliance and superstructure. Theperformance depends on the dynamic properties of the ground, foundation, andsuperstructure as well as their coupling. Transmission analyses indicate thatthe superstructure responses can be effectively attenuated in the quasi-staticband gap by adjusting the negative stiffness. Considering the coupling of theflexible ground, the peak responses of the LRPF-superstructure system occur notonly at its eigenfrequencies but also at coupled resonance frequencies due tothe contribution of the soil compliance. This study provides an analytical toolfor mitigating the structure-borne vibrations from subways with the LRPF.

Analytical Research on a Locally Resonant Periodic Foundation for Mitigating Structure-Borne Vibrations from Subway