Structures Congress 2020 432
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The Effect of Soil Modeling on the Nonlinear Response of SDOF Structures
Aidin Tamhidi
1
and Mohammad Ali Ghannad, Ph.D.
2
1
Dept. of Civil and Environmental Engineering, Univ. of California, Los Angeles, Los Angeles,
CA. E-mail: aidintamhidi@ucla.edu
2
Dept. of Civil Engineering, Sharif Univ. of Technology, Tehran, Iran. E-mail:
ghannad@sharif.edu
ABSTRACT
Considering soil-structure interaction (SSI) effect in the design of structures would affect
their seismic demands. Design codes, such as ASCE 7-10, usually allow engineers to reduce the
design base shear accounting for SSI effect. ASCE 7-10 methodology is based on modeling the
underlying soil using a set of dashpots and springs that approximate the actual nonlinear
behavior of the soil through an equivalent linear model. In this study, we aimed to study the
effect of different approaches for modeling of soil nonlinear behavior on the response of the
superstructure. We employed two types of soil-structure systems using 1) an equivalent linear
model suggested by most of the design codes, and 2) a beam on nonlinear Winkler foundation
(BNWF) model for the beneath soil. The results show that the difference between the structure’s
response in the two models might be negligible for structures located on soil type C. However,
for structures built on soil type D, this difference could be quite considerable. The results clearly
show the structure experiences less inelastic deformations when the soil undergoes more inelastic
deformation; in addition, the soil experiences less plastic displacement for more ductile
structures.
INTRODUCTION
For structures located in moderate- to high-seismicity zones, the earthquake-induced
demands in many occasions govern the design procedure. Among the simplifying assumptions
made during the seismic design and analysis of a structure, a fixed base condition for flexible
structures located on stiff soils is usually a reasonable assumption. However, a fixed-base
assumption for stiff structures located on soft soils can lead to non-negligible errors in the
estimates of seismic demands. In the latter case, the underlying soil would have a more
significant impact on the seismic response of the superstructure in comparison with a flexible
structure located on stiff soil. Moreover, in turn, the demand imposed by the structure on the
underlying soil would affect the response of the underlying soil in comparison with the free-field
soil response. This effect, known as soil-structure interaction (SSI), has been the subject of many
studies for more than four decades.
Beginning in the 1970’s, a number of codes and researchers started to consider the SSI effect.
The provision ATC3-06 (Applied Technology Council 1978) allowed engineers to reduce the
design base shear through considering the stiffness and damping of the beneath soil having two
sway and rocking DOFs. Novak also studied the effect of soil and foundation embedment on the
response of structures to external lateral excitations such as wind and earthquake loads (Novak
1974). In the majority of these studies, the structures were modeled as linear and elastic.
Most of the engineers design the structures such that they are able to undergo significant
inelastic deformations when subjected to a seismic excitation. Bielak (1978) showed that the
superstructure, as a component of the soil-structure system, having inelastic behavior, would
Structures Congress 2020
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