文档介绍：Arch Appl Mech (2008) 78: 21–31
DOI -007-0136-y
ORIGINAL
S. Küçükarslan
Transient analysis of piles and pile groups
in non-homogeneous soil
Received: 10 May 2006 / Accepted: 9 March 2007 / Published online: 9 May 2007
© Springer-Verlag 2007
Abstract In this paper, the transient analysis of a single pile and a 3 × 3 pile group is presented for Gibson
type non-homogeneous soil by using a hybrid type of boundary and finite element formulation for the soil
domain and pile domain, respectively. The formula is presented for a transient point force acting in the interior
of a non-homogeneous, isotropic half space. A time stepping boundary element algorithm for soil domain is
used together with an implicit time integration scheme for finite pile domain. To investigate the validity of
this formulation, a single pile and a pile group are analyzed under Heaviside loading and triangular transient
loading. In the analyses, it can be concluded that the results agree well for all cases of the inhomogeneity index
paring the Laplace domain solutions.
Keywords Pile dynamics · Pile–soil interaction · Transient response · Boundary and finite element methods
1 Introduction
Pile foundations are used to support structures on weak soils. Due to the need for a reliable design method for
massive and sensitive structures such as nuclear plants, bridges, offshore platforms under impact loads, the
transient elastodynamic analysis of piles has attracted substantial research interest in the past few decades.
A steady state formulation for the analysis of pile groups in layered media was presented by Kaynia and
Kausel [1]. Their solution method is similar to the work of Apsel [2]. The solution is based on assembly of
layer stiffness matrices, and in Apsel’s work it is a stiffness approach. The static counterpart of this solution
was extracted by expanding the transcendental functions plex domain into a series and then discarding
the terms that vanish as freque