IMPEDANCE FUNCTIONS OF ADJACENT STRIP FOUNDATIONS
WITH DIFFERENT DEPTHS OF EMBEDMENT
Vasiliki G. Terzi
1
1
Laboratory Teaching Staff
Laboratory of Statics and Dynamics of Structures,
Civil Engineering Department, 54124, Thessaloniki, Greece
e-mail: terziv@civil.auth.gr
Abstract
The present study refers to the interaction between two adjacent strip foundations that have
different depths of embedment. In particular, one foundation is characterized as deep and is
embedded in an elastic isotropic soil layer which is resting on a rigid substratum, while the
other foundation is characterized as surface and is resting on the soil layer’s surface. The two
foundations have an equal value of half-width, B and the embedment depth, D of the deep
foundation is equal to B. The distance ratio S/L, where S is the distance between the founda-
tions and L is the width of each foundation receives the values of 0.5,3,5 and 10. In order to
investigate the effect of the soil layer’s depth H, the distance ratio is kept constant and equal
to 0.5 while the H/B ratio receives the values of 2, 4, 8 and 32.
The main target is the calculation of the impedance matrix of the two interacting foundations
and is achieved by the use of the finite element method. The accuracy of the finite element
model is verified by comparison studies with the rigorous results from the boundary element
method, concerning a single strip foundation, embedded or surface.
Each strip foundation has three degrees of freedom; the vertical translation, the horizontal
translation and the rotational one. Therefore, harmonic type of loading is applied at each
foundation for each degree of freedom and the flexibility matrix is calculated for a normalized
frequency range of 0.1<αο<2, where αο=ωB/Vs; ω is the loading frequency and Vs is the
shear wave velocity. The final flexibility matrix is a 6x6 symmetric matrix, which consists of
terms referring to the deep or surface foundation response and the coupled response between
them. The flexibility functions are presented for typical values of S/L and H.
The main conclusions are focused on the comparison between the response of each founda-
tion which belongs to the system of the two and the response of a single foundation, deep or
surface. Additional comments refer to the effect of the soil layer’s depth on the coupling terms
of the flexibility matrix of the two adjacent foundations.
Keywords:
Structure-soil-structure interaction, Strip footings, Finite Element Method.
5622
COMPDYN 2019
7
th
ECCOMAS Thematic Conference on
Computational Methods in Structural Dynamics and Earthquake Engineering
M. Papadrakakis, M. Fragiadakis (eds.)
Crete, Greece, 24–26 June 2019
Available online at www.eccomasproceedia.org
Eccomas Proceedia COMPDYN (2019) 5622-5639
ISSN:2623-3347 © 2019 The Authors. Published by Eccomas Proceedia.
Peer-review under responsibility of the organizing committee of COMPDYN 2019.
doi: 10.7712/120119.7332.18921