A precise integration approach for dynamic impedance of rigid strip footing on arbitrary anisotropic layered half-space
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论文类型:期刊论文
发表时间:2013-06-01
发表刊物:SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
收录刊物:EI、SCIE
卷号:49
页面范围:96-108
ISSN号:0267-7261
关键字:Precise integration method; Layered anisotropic soil strata; Rigid strip footing; Dynamic impedance
摘要: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.
