Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-06-01

Journal: SOIL DYNAMICS AND EARTHQUAKE ENGINEERING

Included Journals: EI、SCIE

Volume: 49

Page Number: 96-108

ISSN: 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.