Mathematical Analysis of Soil-structure Interaction Including Kinematic and Inertial Interaction Effects
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Authors
Leila Khanmohammadi
- Ph.D student of civil engineering, Babol University of Technology.
Javad Vaseghi Amiri
- Associate professor, civil engineering department, Babol University of Technology.
Mohammad Reza Davoodi
- Assistant professor, civil engineering department, Babol University of Technology.
Mohammad Ali Ghannad
- Professor, civil engineering department, Sharif University of Technology.
Abstract
In this research, both kinematic interaction (KI) and inertial interaction (II) effects of soil-structure
interaction (SSI) on inelastic seismic demands of structures are investigated. Site effect is also considered
only by applying ground motions recorded at site classes D and E (as defined in NEHRP[1] and
FEMA-440 [2]) that on them SSI effect is considerable. Carrying out a parametric study, the structure and
underlying soil are modeled as a Single Degree Of Freedom (SDOF) structure with elasto-plastic behavior
and a mathematical simplified 3DOF system, based on the concept of Cone Models, respectively. Also
the foundation is considered as a rigid cylinder embedded in the soil with different embedment ratios.
Then the whole soil-structure systems are analyzed under 30 ground motion recorded at site classes D and
E and a comprehensive parametric study is performed for a wide range of non-dimensional parameters
defining SSI problem. Results indicated that ignoring SSI causes considerable and in some cases un-conservative
differences in seismic demands of structures. In the case of embedded foundation, it is observed
that rocking input motion due to KI plays the main role and increase the structural demands especially in
deep foundation embedment and slender buildings located on soft soils.
Consequently, comparing the results with and without inclusion of SSI effects reveals that both II and
KI effects of SSI play an important role in analyses or design procedures and ignoring them may cause
un-conservative results in cases of deep embedded foundation and slender structures.
Share and Cite
ISRP Style
Leila Khanmohammadi, Javad Vaseghi Amiri, Mohammad Reza Davoodi, Mohammad Ali Ghannad, Mathematical Analysis of Soil-structure Interaction Including Kinematic and Inertial Interaction Effects, Journal of Mathematics and Computer Science, 12 (2014), no. 4, 320 - 336
AMA Style
Khanmohammadi Leila, Amiri Javad Vaseghi, Davoodi Mohammad Reza, Ghannad Mohammad Ali, Mathematical Analysis of Soil-structure Interaction Including Kinematic and Inertial Interaction Effects. J Math Comput SCI-JM. (2014); 12(4):320 - 336
Chicago/Turabian Style
Khanmohammadi, Leila, Amiri, Javad Vaseghi, Davoodi, Mohammad Reza, Ghannad, Mohammad Ali. "Mathematical Analysis of Soil-structure Interaction Including Kinematic and Inertial Interaction Effects." Journal of Mathematics and Computer Science, 12, no. 4 (2014): 320 - 336
Keywords
- soil-structure interaction
- cone model
- foundation embedment
- kinematic interaction (KI)
- Inertial interaction (II)
- Strength reduction factor
- ductility demand
- Elastic and inelastic seismic demands
MSC
References
-
[1]
BSSC, NEHRP Recommended Provisions for Seismic Regulations for New Buildings and Other Structures, FEMA-450, Washington (2003)
-
[2]
FEMA-440, Improvement of nonlinear static seismic procedures, ATC-55 Draft, Washington (2005)
-
[3]
A. S. Veletsos, J. W. Meek, Dynamic Behavior Building-Foundation Systems, Earthquake Engineering and Structural Dynamic, 34 (1974), 121–138.
-
[4]
A. S. Veletsos, V. V. D Nair, Seismic Interaction of Soil on Hysteretic foundation, Journal of Structural Division (ASCE), 101 (1975), 109–129.
-
[5]
J. P. Wolf , Dynamic Soil-structure Interaction, Prentice Hall , New Jersey (1985)
-
[6]
J. Aviles, L. E. Perez-Rocha, Diagrams of Effective Periods and Damping of Soil-structure Systems, Journal of Geotechnical and Geo-environmental Engineering, 125 (1999), 711–715.
-
[7]
J. Bielak, Dynamic Response of Non-linear Building-foundation Systems, Earthquake Engineering and Structural Dynamic, 6 (1978), 17–30.
-
[8]
J. Aviles, L. E. Perez-Rocha, Soil-structure Interaction in Yielding Systems, Earthquake Engineering and Structural Dynamic, 32 (2003), 1749–1771.
-
[9]
J. Aviles, L. E. Perez-Rocha, Design Concepts for Yielding Structures on Flexible Foundation, Engineering Structure, 27 (2005), 443–454.
-
[10]
Y. O. Beredugo, M. Novak, Coupled horizontal and rocking vibration of embedded footings, Canadian Geotechnical Journal, 9(4) (1972), 477–497.
-
[11]
F. Elsabee, E. Kausel, J. M. Roesset, Dynamic stiffness of embedded foundations, Proceedings of the ASCE Second Annual Engineering Mechanics Division Specialty Conference, North Carolina, (1977), 40–43.
-
[12]
J. P. Morray, Kinematic interaction problem of embedded circular foundations, M.Sc. Thesis, Department of Civil Engineering, Massachusetts Institute of Technology (1975)
-
[13]
J. E. Luco, H. L. Wong, M. D. Trifunac, A note on the dynamic response of rigid embedded foundations, Earthquake Engineering and Structural Dynamics, 4(2) (1975), 119–127.
-
[14]
J. Bielak, Dynamic behavior of structures with embedded foundations, Earthquake Engineering and Structural Dynamics, 3(3) (1975), 259–274.
-
[15]
E. Kausel, R. V. Whitman, J. P. Morray, F. Elsabee, The spring method for embedded foundations, Nuclear Engineering and Design, 48 (1978), 377–392.
-
[16]
J. Aviles, L. Perez-Rocha, Effects of foundation embedment during building–soil interaction, Earthquake Engineering and Structural Dynamics, 27(12) (1998), 1523–1540.
-
[17]
I. Takewaki, N. Takeda, K. Uetani , Fast practical evaluation of soil–structure interaction of embedded structures, Soil Dynamics and Earthquake Engineering, 23(3) (2003), 13-20
-
[18]
A. S. Veletsos, B. Verbic, Dynamics of elastic and yielding structure–foundation systems, Proceedings of Fifth World Conference on Earthquake Engineering, Rome, Italy, (1973), 2610–2613.
-
[19]
J. Bielak, Dynamic response of non-linear building–foundation systems, Earthquake Engineering and Structural Dynamics , 6(1) (1978), 17–30.
-
[20]
F. P. Muller, E. Keintzel , Ductility requirements for flexibly supported anti-seismic structures, Proceedings of the Seventh European Conference on Earthquake Engineering, Athens, Greece, 3 (1982), 27–34.
-
[21]
J. P. Stewart, C. Comartin, J. P. Moehle, Implementation of soil–structure interaction models in performance based design procedures, Proceedings of the Third UJNR Workshop on Soil–Structure Interaction. Menlo Park. CA. U.S.A. , (2004), 29–30.
-
[22]
J. P. Wolf, Foundation Vibration Analysis using Simple Physical Models, Prentice-Hall: Englewood Cliffs, NJ (1994)
-
[23]
S. L. Kramer, Geotechnical Earthquake Engineering, Prentice-Hall: Englewood Cliffs, NJ (1996)
-
[24]
A. S. Veletsos, Dynamic of structure-foundation systems, In: Hal WJ, editor, Structural and Geotechnical Mechanics, Prentice- Hall: Englewood Cliffs, NJ. A Volume Honoring N.M. Newmark, (1977), 333–361.
-
[25]
M. A. Ghannad, A study on the effect of soil-structure interaction on the dynamic properties of structures using simplified methods, Ph.D. thesis. Japan, Nagoya University (1998)
-
[26]
J. W. Meek, J. P. Wolf, Cone models for embedded foundation, Journal of Geotechnical Engineering Division (ASCE), 120(1) (1994), 60–80.
-
[27]
ATC-3-06, Applied Technology Council , Tentative provisions for the development of seismic regulations for buildings, California (1978)