Fourier Amplitudes of the Foundation Motion connected with Soil-Structure Interaction

Hayir, Abdul and Gicev, Vlado (2009) Fourier Amplitudes of the Foundation Motion connected with Soil-Structure Interaction. In: Twelfth International Conference on Civil, Structural and Environmental Engineering Computing, 1-4 Sep. 2009, Funchal, Madeira island, Portugal.

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The main objective of this study is to understand the phenomena connected with the
interaction and to give directions for improvement of the design of the earthquake
resistant structures. Fourier amplitudes (amplitudes versus frequencies) of the
foundation motion connected with the soil-structure interaction and differential
motions of the foundation-structure contact due to the wave passage are considered.
We expect that the motion of the flexible foundation will be larger than the existing
solutions for the motion of the rigid foundation. As the foundation becomes stiffer,
the Fourier amplitudes (transfer functions) on the building-foundation contact will
decay and will approach the solution for the case of rigid foundation. The wave
propagation approach in solving the problem is taken into account. The wave
equation will be solved numerically in the domain consisting of the soil, foundation,
and superstructure using the explicit Lax-Wendroff numerical scheme. Because in
the real world, the problem is defined in infinite domain in the soil, we will
incorporate an artificial boundary in the truncated domain which corresponds with
the Sommerfeld radiation boundary condition at infinity. The velocities and the
displacements at the points of the stress-free boundaries will be updated in each time
step using the vacuum formalism approach. The stresses, the velocities, and the
displacements at the points of soil-foundation and foundation-building contacts will
be computed from the continuity of stresses and the continuity of displacements at
those points. In present time the soil-structure interaction is underestimated as a
factor in the codes and the standards for design of earthquake resistant structures.

Item Type: Conference or Workshop Item (Paper)
Subjects: Natural sciences > Earth and related environmental sciences
Natural sciences > Matematics
Natural sciences > Physical sciences
Divisions: Faculty of Computer Science
Depositing User: Vlado Gicev
Date Deposited: 06 Nov 2012 20:06
Last Modified: 15 Aug 2013 10:58

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