Meshless Analysis Of Soil-structure Interaction
Using A MFS-MLPG Coupled Approach
Author(s)
L. Godinho, P. Amado-Mendes & A. Tadeu
Abstract
This paper presents a coupling strategy between the Method of Fundamental
Solutions (MFS) and the Meshless-Local-Petrov-Galerkin (MLPG) for the
analysis of soil-structure interaction problems in the frequency domain. In the
proposed approach, the MFS is used to model the outer infinite (or semi-infinite)
medium, correctly accounting for the far-field conditions in the soil, while the
MLPG is used to simulate the elastodynamic behavior of an embedded solid
structure. The MLPG formulation used here is based on the construction of shape
functions using the MQ RBF (Multi Quadric Radial Basis Functions); in
addition, the test function used to establish the nodal equations is the Heaviside
function, leading to the so-called MLPG-5 approach. A direct coupling is
considered between the MFS and the MLPG, which implies the construction of a
system matrix which accounts for the full coupling effects; in the proposed
coupling approach, the possible use of different node distributions along the
boundary for the two methods is accounted for, thus rendering the model flexible
in allowing different discretization requirements for the soil and for the structure.
The algorithm is here applied to 2D problems, and its behavior in terms of
convergence and accuracy is analyzed, by comparing its results with those
provided by reference solutions. An application example is also presented to
illustrate the potential of the proposed approach.
Keywords: MFS, MLPG, coupling numerical methods, frequency domain.
Keywords
MFS, MLPG, coupling numerical methods, frequency domain
Related Book
Other papers in this volume
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