Responses of Two-Degree-of-Freedom Sliding Base Systems Subjected to Harmonic Ground Motions
Publication: Journal of Structural Engineering
Volume 143, Issue 2
Abstract
Responses of two-degree-of-freedom sliding base systems subjected to harmonic ground motions were studied. This study continues the previous work on this topic and focuses on explaining the inherent mechanism of the sliding base system and derivation of the theoretical solutions for important responses. Unlike fixed base structures, several resonant frequencies were observed after sliding occurred. These resonances are induced by the changing of the vibration center at the moment when the relative displacement is located farthest from the new vibration center. In general, the maximum pseudo-acceleration decreases as the mass ratio increases. For the sliding-sliding case, the maximum pseudo-acceleration reaches an upper limit, which is independent of the amplitude of the ground acceleration. Explicit expressions were derived for this upper limit. The amplitude of the sliding displacement is a suitable response quantity to represent the extent of sliding. As the ground acceleration increases, the sliding displacement amplitude tends toward the vibration amplitude of the ground displacement.
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Acknowledgments
The work reported in this paper was supported by the Japan Society for the Promotion of Science (JSPS). Hong-Song Hu was supported by an overseas fellowship from JSPS (Award Number P 14374). The support is gratefully acknowledged.
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© 2016 American Society of Civil Engineers.
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Received: Mar 14, 2016
Accepted: Jul 15, 2016
Published online: Sep 14, 2016
Published in print: Feb 1, 2017
Discussion open until: Feb 14, 2017
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