Time-Domain Hydrodynamic Forces on Rigid Dams with Reservoir Bottom Absorption of Energy
Publication: Journal of Engineering Mechanics
Volume 136, Issue 10
Abstract
In this investigation, a two-dimensional time-domain closed-form mathematical model for the hydrodynamic forces on the upstream vertical face of a given rigid dam subjected to a specified horizontal ground motion accelerogram was developed. The model includes the absorption of energy at the elastic reservoir bottom, characterized by the impedance ratio of the sub-bottom materials with respect to water . The formulated boundary-value problem is solved in Laplace’s domain and subsequently transformed back to the time domain. Response spectra for the hydrodynamic base shear force and overturning moment are constructed for extreme values of the parameter . It is found that, frequently, including the solid-foundation elasticity in the reservoir model attenuates the resultant hydrodynamic forces on a rigid barrier, as compared to the results for the case of a rigid reservoir foundation. In this case, the elasticity of the sub-bottom materials constitutes an effective energy dissipating mechanism (radiation damping). By contrast, for sub-bottom materials with less-than-water impedance, amplification of the effective earthquake forces is obtained, as compared to the results for the case of a rigid reservoir foundation.
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Acknowledgments
This investigation was conducted under the Work Unit “Nonlinear Behavior and Failure Mechanisms of Concrete Dams (Foundation and Bottom Absorption),” of the Earthquake Engineering Research Program, part of the Research Program on Civil Works sponsored by the Department of the Army, Corps of Engineers, Headquarters. The writers gratefully acknowledges the support and guidance provided by the Office of the Chief of Engineers and by the Army Engineer District representatives in the Field Review Group. Approved for public release; distribution is unlimited. Permission to publish was granted by the Director of the Geotechnical and Structures Laboratory, U.S. Army Engineer Research and Development Center.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 136 • Issue 10 • October 2010
Pages: 1271 - 1280
Copyright
© 2010 ASCE.
History
Received: Feb 9, 2010
Accepted: Mar 23, 2010
Published online: Mar 25, 2010
Published in print: Oct 2010
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