Dimensional Analysis of the Pounding Response of an Oscillator Considering Contact Duration
Publication: Journal of Engineering Mechanics
Volume 141, Issue 4
Abstract
The dynamic response of an elastic pounding oscillator subjected to harmonic excitation is investigated with dimensional analysis. To model the pounding process, a linear viscoelastic model is used to simulate the contact force. Through dimensional analysis, the peak structural response parameters of the pounding oscillator, including structural displacement, velocity, and penetration displacement, are characterized by a set of dimensionless terms (denoted by the Buckingham notation ). The reduced -set explicitly describes the interaction between the oscillator and the rigid barrier. Analytical solutions to dimensionless contact time, displacement, and velocity response are derived in this study and are further verified against the numerical simulation. The effect of pounding on the oscillator’s response is illustrated using three well-divided spectral regions (i.e., amplified, deamplified, and unaffected regions), which are defined based on the dimensionless system frequency parameter . Parametric studies show that the penetration displacement for different levels of contact stiffness is insensitive to the dimensionless gap size but is affected significantly by changes in the coefficient of restitution .
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Acknowledgments
The authors express their sincere gratitude to Shuang Li, Zhiwang Chang, and Lili Xie of the Harbin Institute of Technology for their help. This research was supported by the Program for International Science and Technology Cooperation Projects of China (Grant No. 2012DFA70810), the National Natural Science Foundation of China (Grant Nos. 51238012, 91215301, and 51008101), and the Program for New Century Excellent Talents in University of the Ministry of Education of China (Grant No. NCET-11-0813).
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Published In
Journal of Engineering Mechanics
Volume 141 • Issue 4 • April 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Aug 27, 2013
Accepted: Aug 4, 2014
Published online: Sep 8, 2014
Published in print: Apr 1, 2015
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