Wave Propagation in Buildings as Periodic Structures: Timoshenko Beam with Rigid Floor Slabs Model
Publication: Journal of Engineering Mechanics
Volume 144, Issue 4
Abstract
Elastic wave propagation in high-rise buildings is studied using a Timoshenko beam model with rigid floor slabs, with the objective of gaining insight into the effects of their repeatable arrangement. The propagator of the composite beam was derived in the frequency domain and used to compute the state vector for input base translation and rocking. Further, the dispersion relation was derived for Bragg scattering from the slabs for an infinite, periodic beam. Results are shown for the dispersion and beam transfer functions and impulse response functions for properties typical for buildings. The results, extrapolated for illustrative purposes beyond the range of validity of simple beam models, reveal the banded nature of the dispersion and response with real phase velocity in the pass and imaginary in the stop bands. The latter act as mechanical filters of higher frequency waves and vibrations, and represent a possible attenuation mechanism in buildings. While real structures would have more complex banded spectra, the selective nature of the filtering could be exploited for passive higher frequency vibration control to protect sensitive equipment from vibrations created, e.g., by high-speed trains, traffic, explosions, or smaller but near seismic events.
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Acknowledgments
This research was conducted during the first author’s visit to the University of Southern California. The support from the Scientific and Technological Research Council of Turkey (TUBITAK) for this visit is gratefully acknowledged. The authors are also grateful to the anonymous reviewers for their insightful comments.
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Published In
Journal of Engineering Mechanics
Volume 144 • Issue 4 • April 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: Feb 20, 2017
Accepted: Oct 16, 2017
Published online: Feb 2, 2018
Published in print: Apr 1, 2018
Discussion open until: Jul 2, 2018
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