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A precise integration approach for dynamic impedance of rigid strip footing on arbitrary anisotropic layered half-space

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Indexed by:期刊论文

Date of Publication:2013-06-01

Journal:SOIL DYNAMICS AND EARTHQUAKE ENGINEERING

Included Journals:SCIE、EI

Volume:49

Page Number:96-108

ISSN No.:0267-7261

Key Words:Precise integration method; Layered anisotropic soil strata; Rigid strip footing; Dynamic impedance

Abstract:The precise integration method (PIM) is proposed for the dynamic response analysis of rigid strip footing resting on arbitrary anisotropic multi-layered half-space. In the frequency domain, the governing equation of wave motion is converted into dual vector form of first-order ordinary differential equations which is solved by PIM. Each layer is divided into a large number (say, 2(N)) of mini-layers of equal thickness, within which characteristic matrices are assumed to vary following the Taylor series expansion to the fourth order. As a result, any desired accuracy of the displacements and stresses can be achieved by PIM. In addition, dual vector form equation makes it quite easily to combine two adjacent mini-layers into a new one. Each pass of combination reduces the total number of mini-layers by a half. The computational effort for the evaluation of the dynamic impedance of rigid strip footing can be reduced to a great extent. Numerical examples are provided to validate the efficiency and accuracy of the proposed approach. (C) 2013 Elsevier Ltd. All rights reserved.

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