Analytical Research on the Mitigation of Structure-Borne Vibrations from Subways Using Locally Resonant Periodic Foundations
Publication: Journal of Engineering Mechanics
Volume 149, Issue 1
Abstract
The filtering properties of locally resonant periodic foundations (LRPFs) have inspired an innovative research direction toward the mitigation of structural vibrations. To mitigate the structure-borne vibrations from subways, this study proposes an LRPF equipped with a negative stiffness device connecting the resonator and primary structure. The proposed LRPF can exhibit a quasi-static bandgap covering the ultralow frequency range. These frequency components have the properties of strong diffraction and low attenuation, and they contribute the most to incident wave fields impinging on nearby buildings. By considering the flexible support of ground, the tunnel–ground and LRPF–superstructure systems are coupled, and the mitigation performance of the LRPF is evaluated with the consideration of tunnel-LRPF interaction. The findings show that the superstructure responses can be attenuated effectively in the quasi-static bandgap. The peak responses of the LRPF–superstructure system occur not only at its eigenfrequencies but also at coupled resonance frequencies due to the contribution of the soil compliance. This study provides an analytical method to evaluate the effectiveness of the LRPF for mitigating the structure-borne vibrations from subways.
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Data Availability Statement
All data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The research was supported by the National Natural Science Foundation of China (Grant Nos. 51778571, 51978611, and 52078462) and the Natural Science Foundation for Outstanding Scholar in Zhejiang Province (Grant No. LR21E080004), which are gratefully acknowledged. The first author greatly acknowledges the support by China Scholarship Council (CSC) (No. 202106320161). The third author acknowledges the Fundamental Research Funds for the Provincial Universities of Zhejiang (No. RF-A2019014).
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Received: Jan 18, 2022
Accepted: Jul 11, 2022
Published online: Oct 31, 2022
Published in print: Jan 1, 2023
Discussion open until: Mar 31, 2023
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