Dynamic Analysis for Biaxial Symmetry Soil-Structure System
Date Issued
2005
Date
2005
Author(s)
DOI
932211E002018
Abstract
For soil-structure interaction problems,
it is very often to adopt the Boundary
Element Method (BEM) to the semi-infinite
far-fields. However, the conventional BEM
(collocation BEM) has disadvantage because the formulated stiffness-like matrix is
asymmetric and is not always positive
definite. Therefore, the symmetric virtue of
the system matrix is ruined in FEM-BEM
coupling and some ill effects are brought to
the numerical processes. Symmetric Galerkin
BEM, based on dual boundary integral
equations, using the symmetry properties of
kernel functions in the DBIEs, can produce
symmetric and positive-definite stiffness-like
matrices and owns better numerical stability
and divergence behavior. Hence, SGBEM is
widely applied in BEM analysis of many
fields in recent years. This paper deals with
the regularization of the singular integrals of
SGBEM in the case of 3D elastic problems
for isotropic homogeneous solids by
techniques of coordinate transformation and
mapping of the integration domains. In
current study, the developed method is used
to solve two problems with known analytical
solution. The accuracy of the developed
method is verified.
Subjects
Symmetric BEM
Galerkin BEM
Singular integrals
Publisher
臺北市：國立臺灣大學土木工程學系暨研究所
Type
report
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