Dimensional Analysis of the Earthquake Response of a Pounding Oscillator
Publication: Journal of Engineering Mechanics
Volume 136, Issue 3
Abstract
In this paper, the dynamic response of a pounding oscillator subjected to pulse type excitations is revisited with dimensional analysis. The study adopts the concept of the energetic length scale which is a measure of the persistence of the distinguishable pulse of strong ground motions and subsequently presents the dimensionless products that govern the response of the pounding oscillator. The introduction of Buckingham’s theorem reduces the number of variables that govern the response of the system from 7 to 5. The proposed dimensionless products are liberated from the response of an oscillator without impact and most importantly reveal remarkable order in the response. It is shown that, regardless the acceleration level and duration of the pulse, all response spectra become self-similar and, when expressed in the dimensionless products, follow a single master curve. This is true despite the realization of contacts with increasing durations as the excitation level increases. All physically realizable contacts (impacts, continuous contacts, and detachment) are captured via a linear complementarity approach. The proposed analysis stresses the appreciable differences in the response due to the directivity of the excitation (toward or away the stationary wall) and confirms the existence of three spectral regions where the response of the pounding oscillator amplifies, deamplifies, and equals the response of the oscillator without pounding.
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Acknowledgments
Partial financial support to the first writer was provided by the Marie Curie fellowship (Grant No. UNSPECIFIEDHPMT-GH-01-00359-16).
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 136 • Issue 3 • March 2010
Pages: 299 - 310
Copyright
© 2010 ASCE.
History
Received: Jan 17, 2008
Accepted: Sep 21, 2009
Published online: Feb 12, 2010
Published in print: Mar 2010
Notes
Note. Associate Editor: Lambros S. Katafygiotis
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