Vibration Attenuation and Amplification of One-Dimensional Uncoupled and Coupled Systems with Optimal Metafoundations
Publication: Journal of Engineering Mechanics
Volume 146, Issue 7
Abstract
Finite locally resonant metafoundations represent an innovative solution for structural seismic response mitigation based on their filtering capabilities at selected frequency ranges. They inherit the filtering properties of periodic foundations and bands in which response amplitudes are reduced, the so-called attenuation zones. Nonetheless, other bands of vibration-induced resonances amplify the components of superstructure response and are generally named nonattenuation zones. Both frequency bandwidths and amplification depend on the dynamic properties of metafoundations and superstructures as well as their coupling. Thus, in order to shed light on the mechanisms of seismic mitigation of coupled systems endowed with optimal metafoundations, this paper explores both elastic uncoupled and coupled unit-cell chains in the frequency domain based on the analysis of various transfer functions. Moreover, to address uncertainty at the excitation level, time history analyses are performed with a set of natural accelerograms that characterize operating basis earthquakes; thus, response contributions from both attenuation zones and nonattenuation zones can be distinguished by relating response variances to peak responses. Eventually, the attenuation effects of optimal metafoundations, frequency shift of superstructures due to unit cells of metafoundations, and coupling of both attenuation zones and nonattenuation zones are analyzed in depth.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request: code used to calculate transfer functions and time-history responses.
Acknowledgments
The first two authors greatly acknowledge the financial support by the National Natural Science Foundation of China (No. 51778488). The last author acknowledges the funding received from the European Union’s Horizon 2020 SERA: Seismology and Earthquake Engineering Research Infrastructure Alliance for Europe (Grant No. 730900); and the Italian Ministry of 460 Education, University and Research (MIUR) in the frame of the “Departments of Excellence” (Grant No. 232/2016).
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Published In
Journal of Engineering Mechanics
Volume 146 • Issue 7 • July 2020
Copyright
©2020 American Society of Civil Engineers.
History
Received: Jun 28, 2019
Accepted: Jan 9, 2020
Published online: Apr 18, 2020
Published in print: Jul 1, 2020
Discussion open until: Sep 18, 2020
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