Dynamic Impedance Functions for Arbitrary-Shaped Rigid Foundation Embedded in Anisotropic Multilayered Soil
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VIEW THE ORIGINAL ARTICLEPublication: Journal of Engineering Mechanics
Volume 141, Issue 11
Abstract
This paper presents a hybrid numerical method for the evaluation of dynamic impedance of rigid foundation embedded in anisotropic multilayered soil. The proposed approach includes two main parts: (a) the solution of wave propagation in anisotropic multilayered soil in the frequency wave-number domain; (b) the evaluation of Green’s functions for a buried source lying in the anisotropic multilayered soil in the frequency spatial domain. The derivation of part (a) is based on the precise integration method (PIM) and the mixed variable formulation (MVF) of wave motion equations, which ensure accuracy of the solution and make it convenient to deal with the assembly of layers for multilayered soil. Part (b) can be preceded by applying the inverse Fourier transformation directly. Finally, the flexible volume method is used to obtain the impedance of foundation embedded in anisotropic multilayered soil. A comparison of the numerical results with those available in the literature validates the effectiveness of the proposed approach.
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Acknowledgments
The authors are grateful for the financial support of the National Key Item of Science and Technology 2011ZX06002-010 under grant no. ZD 1101HT-W-15-1, the Sino-German Science Foundation under grant no. GZ566, and the National Natural Science Foundation of China under grant no. 51138001.
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© 2015 American Society of Civil Engineers.
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Received: Jun 4, 2014
Accepted: Dec 8, 2014
Published online: May 13, 2015
Discussion open until: Oct 13, 2015
Published in print: Nov 1, 2015
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