Dimensional Analysis of Pounding Response of an Oscillator Based on Modified Kelvin Pounding Model
Publication: Journal of Aerospace Engineering
Volume 32, Issue 4
Abstract
The pounding response between a single oscillator and a rigid barrier was investigated with dimensional analysis in which the modified Kelvin pounding analytical model was used to simulate the contact force. The dimensionless equation of motion of the single pounding oscillator was deduced. In particular, the structural response parameters of the pounding oscillator were characterized by a set of dimensionless terms which were denoted by the Buckingham notation. Therefore, the key parameters governing the impact reaction were reduced so that they could effectively express the pounding response law of the structures subjected to the earthquake excitation. Numerical analysis proved the superiority of the modified Kelvin model compared with the Kelvin model. The effect of pounding on the response of the single oscillator was illustrated in three well-separated spectral regions which were described by the dimensionless system frequency parameters. Parametric analysis showed that the contact stiffness mainly affects the penetration displacements. In addition, the pounding response is insensitive to the initial spacing, but is affected obviously by the coefficient of restitution in the first spectral region.
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Acknowledgments
The authors are grateful to the Science Foundation for Wuhan Institute of Technology (K201511), the National Nature Science Foundation of China (51408443), and the National R&D Program of China (2017YFC1500705).
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Published In
Journal of Aerospace Engineering
Volume 32 • Issue 4 • July 2019
Copyright
©2019 American Society of Civil Engineers.
History
Received: Aug 17, 2018
Accepted: Dec 3, 2018
Published online: Apr 17, 2019
Published in print: Jul 1, 2019
Discussion open until: Sep 17, 2019
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