The Relation Between Foundation Embedment and Peak Horizontal Input Acceleration: The Case of Strip Foundation with Partial Contact to Surrounding Medium

Document Type : Geotechnical Earthquake Engineering

Authors

International Institute of Earthquake Engineering and Seismology (IIEES)

Abstract

In the field of soil-structure interaction (SSI), kinematic interaction (KI) can potentially be a source of notable influence on dynamic response. Such influence takes place through alternation in free field motion (FFM) and results in new foundation input motions (FIM). In this paper, first, the effect of KI on horizontal input motion for the case of single rigid strip embedded foundation with incomplete contact between sidewall and nearby soil under vertical propagation of shear waves is investigated. Then, it is discussed that how this input-change would be reflected in peak horizontal input acceleration (PHIA). Results for different embedment depths and various soil-wall contact lengths are depicted. In this research, numerical analysis was conducted by ABAQUS finite element software. It is shown that the effects of kinematic interaction are significant for high frequencies of excitation. Besides, it is illustrated that foundation shape and its contact area to surrounding soil alter the PHIA usually conservatively with some exceptions in the case of zero contact lengths.

Keywords


Bielak, J. (1974) Dynamic behavior of structures with embedded foundations. Earthquake Engineering and Structural Dynamics, 3, 259-274.
Iguchi, M. (1982) An approximate analysis of input motion for rigid embedded foundation. Transactions of Architectural Institute of Japan, 315, 61-75.
Mori, M. and Fukuwa, N. (2012) Simplified evaluation methods for impedance and foundation input motion of embedded foundation. Proc. of the 15th World Conf. on Earthquake Engineering, Lisbon.
Pais, A. and Kausel, E. (1985) Stochastic Response Of Foundations. Report No. R8506, Massachusetts Institute of Technology, Cambridge, MA.
Luco, J.E. (1969) Dynamic interaction of a shear wall with the soil. Journal of the Engineering Mechanics Division, 95(2), 333-346.
Trifunac, M. (1972) Interaction of a shear wall with the soil for incident plane SH waves. Bulletin of the Seismological Society of
America , 62(1), 63-83.
Luco, J.E., Wong, H.L., and Trifunac, M.D. (1975) A note on the dynamic response of rigid embedded foundation. Earthquake Engineering and Structural Dynamics, 4, 119-127.
Novak, M.D. and Beredugo, Y.O. (1972) Vertical vibration of embedded footings. Journal of the Soil Mechanics and Foundation Division, 98(12), 1291-1310.
Novak, M.D. (1973) The Effect of Embedment on Vibration of Footings and Structures. [Synopsis]. Faculty of Engineering Science, University of Ontario, Canada.
Hoshiya, M. and Ishii, K. (1983) Evaluation of kinematic interaction of soil-foundation systems by a stochastic model. Proceedings of the First International Conference and Exhibition on Soft Dynamics and Earthquake Engineering,
Southampton, UK.
Iguchi, M. (1984) Earthquake response of embedded foundation to SH and SV wave. Proceedings of 8th Wor ld Conference on
Earthquake Engineering, San Francisco (CA), 1081-1088.
Luco, J. and Mita, A. (1987) Response of circular foundation to spatially random ground motion. Journal of Engineering Mechanics, 113(1), 1-15.
Luco, J.E. (1976) Torsional response of structures for SH waves. The case of hemispherical foundations. Bulletin of Seismological Society of America , 66(1), 109-123.
Wong, H.L. and Luco, J.E. (1978) Dynamic response of rectangular foundations to obliquely incident seismic waves. Earthquake Engineering and Structural Dynamics, 6, 3-16.
Luco, J.E. and Wong, H.L. (1987) Seismic response of foundations embedded in a layered half-space. Ear thquake Engineer ing and Structural Dynamics, 15, 233-247.
Mita, A. and Luco, J. (1989a) Dynamic response of a square foundation embedded in an elastic half-space. Soil Dynamics and Earthquake Engineering, 8(2), 54-67.
Mita, A. and Luco, J. (1989b) Impedance function and input motion for embedded structures. Journal of Geotechnical Engineering (ASCE), 115(4), 491-503
Veletsos, A.S. and Prasad, A.M. (1989) Seismic interaction of structures and soils. Journal of Structural Engineering (ASCE), 115(4), 935-956.
Kausel, E., Whitman, R.V., Morray, J.P., and Elsabb, F. (1978) Effects of horizontally travelling waves in soil-structure interaction. Nuclear Engineering and Design, 48, 377-392.
Kurimoto, O. and Iguchi, M. (1996) Evaluation of input motion based on observed motion. Proceedings of the 11th International Conference on Earthquake Engineering, Acapulco, Mexico.
Iguchi, M. (2001) On effective input motions. Observations and simulation analyses. The 2nd UJNR Workshop on Soil-Structure Interaction, Tsukuba, Japan.
Givens, M.J. and Stewart, J.P. (2012) Assessment of soil-structure interaction modeling strategies for response history analysis of buildings. Proceedings of the 15th International Conference on Ear thquake Engineering, Lisbon, Portugal.
Rayhani, MT. and El Naggar, MH. (2007) Centrifuge modeling of seismic response of layered soft clay. Bull Earthquake Engineering, 5(4), 571-589.
Torabi, H. and Rayhani, MT. (2014) Three dimensional finite element modeling of seismic soil-structure interaction in soft soil.
Computers and Geotechnics, 60(4), 9-19.
ABAQUS Inc. (2011) V.6.11 User's Manual. Providence, Rhode Island, USA.
Wang, Y. and Rajapakse, R. (1991) Dynamics of rigid strip foundations embedded in orthotropic Elastic Soils. Earthquake Engineering and Structural Dynamics, 20(3), 927-947.
Jahankhah, H., Ghannad, M.A., and Rahmani, M. (2013) Alternative solution for kinematic interaction problem of soil-structure systems with embedded foundation. The Structural Design of Tall and Special Buildings, 22(3), 251-266.