Nonlinear Soil-Linear Structure Interaction: Energy and Strain Distribution

Gicev, Vlado and Hayir, Abdul (2009) Nonlinear Soil-Linear Structure Interaction: Energy and Strain Distribution. In: Twelfth International Conference on Civil, Structural and Environmental Engineering Computing, 1-4 Sep 2009, Funchal, Madeira island, Portugal.

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The wave propagation approach in solving the problem is considered. The wave
equation is solved numerically in the domain consisting of the soil, foundation, and
superstructure using the explicit Lax-Wendroff numerical scheme. An artificial
boundary is incorporated to simulate the Sommerfeld radiation boundary condition
at infinity. The velocities and the displacements at the points of the stress-free
boundaries are updated in each time step using the vacuum formalism approach.
The system consists of rectangular structure having circular foundation embedded in
nonlinear soil. The aim of this study is to present the permanent strain distribution in
a soil and to calculate energy distribution in a nonlinear system excited by SH waves
in form of half-sine pulses. For that purpose, the superstructure and the foundation
are assumed linear, while the soil as material is non-linear and is allowed to yield.
Due to the plane waves, the input energy to the system, the hysteretic energy spent
for creation and development of nonlinear strains, the scattered energy from the
foundation, and the energy in the building are determined for half-sine pulses with
same amplitude but different durations (frequencies). For transient response, we use
dimensionless frequency, which is ratio between the radius of the semicircular
foundation and half wavelength of the input pulse. The range of this dimensionless
frequency in our analyses is from 0.05 (long pulses) to 2 (short pulses).

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 13:55
Last Modified: 15 Aug 2013 10:58

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