New Approaches in Civil Engineering

New Approaches in Civil Engineering

Calculation of the Soil Spring Stiffness in Relation to the Structure’s Fundamental Period

Document Type : Original Article

Authors
1 Ph.D. Candidate of Structural Engineering, School of civil engineering, University of Tehran
2 Professor, School of civil engineering, university of Tehran
Abstract
In engineering design methods, it is assumed that the structure is located on a fixed base, and the effects of the soil environment on the structural response are generally ignored. However, research showed that the environment of the soil and the structure can interact with each other. This phenomenon is called soil-structure interaction effect. Therefore, the soil environment should be modeled in structural analysis. There are different methods for soil modeling. One of the practical methods is to use separate springs to model the soil environment. In this article, the effect of the number of floors and the period of the structure on the soil springs’ stiffness has been investigated. In this regard, three-dimensional structures with the number of floors 1, 3, 5 ,10 and 15 were modeled in Opensees software with continuous soil environment. Then, from the results of the structural analysis, the reaction of the soil under the foundation was calculated and relations were presented to determine the stiffness of the soil. These relationships are dependent on the structure’s period.
Keywords

Subjects


1- Stewart, J.P., Seed, R.B. and Fenves, G.L., 1999b, Seismic soil-structure interaction in buildings. II: Empirical findings, Journal of Geotechnical and Geoenvironmental Engineering, 125, 1, 38-48.
2-Waqas, M., 2018, Identification of an Efficient Method for Practicing Designers to Incorporate Soil-Structure Interaction Effects, Doctoral dissertation, CAPITAL UNIVERSITY.
3- Kanwal, F., 2017, Evaluation of Response Modification Factor in Consideration of Soil-Structure Interaction, Master Thesis.  
4- Winkler, E., 1867, Die Lehre von der Elasticitaet und Festigkeit: mit besonderer Rücksicht auf ihre Anwendung in der Technik für polytechnische Schulen, Bauakademien, Ingenieue, Maschinenbauer, Architecten, etc (Vol. 1). Dominicus.
5- National Institute of Standards and Technology (NIST), 2012, Soil-Structure Interaction for Building Structures, GCR 12-917-21, Gaithersburg, Maryland.
6- Wolf, J.P. 1985, Dynamic Soil-Structure Interaction, Prentice-Hall Inc., Englewood Cliffs, New Jersey.
7- Widad, B., Salah, K. and Souad, B., 2019, Soil non-homogeneity and soil-structure interaction effects on beam vibrations, Proceedings of the Institution of Civil Engineers-Structures and Buildings, 1-10.
8- Boudaa, S., Khalfallah, S. and Bilotta, E., 2019, Static interaction analysis between beam and layered soil using a two-parameter elastic foundation, International Journal of Advanced Structural Engineering, 11, 1, 21-30.
9- Mullapudi TRS, 2010, Nonlinear finite element formulation of the soil structure interaction through two-parameter foundation model
10-Avcar M, 2016, Effect of material non-homogeneity and two-parameter elastic foundation on fundamental frequency parameters of Timoshenko beam, Acta Phys Pol A, 130, 375–378.
11-Raheem, S.E.A., Ahmed, M.M. and Alazrak, T.M., 2015, Evaluation of soil–foundation–structure interaction effects on seismic response demands of multi-story MRF buildings on raft foundations, International Journal of Advanced Structural Engineering (IJASE), 7, 1, 11-30.
12-Nguyen, Q.V., 2017, Effects of foundation characteristics and building separation gap on seismic performance of mid-rise structures incorporating soil-foundation-structure-interaction (Doctoral dissertation). 
13-Nguyen, Q.V., Fatahi, B. and Hokmabadi, A.S., 2017, Influence of size and load-bearing mechanism of piles on seismic performance of buildings considering soil–pile–structure interaction, International Journal of Geomechanics, 17, 7, 04017007.
14-Mylonakis, G. and Gazetas, G., 2000, Seismic soil-structure interaction: beneficial or detrimental, Journal of Earthquake Engineering, 4, 3, 277-301.
15-Gazetas, G. and Mylonakis, G. 1998, Seismic soil-structure interaction: new evidence and emerging issues, Geotechnical Earthquake Engineering and Soil Dynamics III
16- Masaeli, H., Khoshnoudian, F. and Ziaei, R., 2015, Rocking soil-structure systems subjected to near fault pulses, Journal of Earthquake Engineering, 19, 3, 461-479.
17- Chen, J., Feng, Y. and Shu, W., 2016, An improved solution for beam on elastic foundation using quintic displacement functions, KSCE Journal of Civil Engineering, 20, 2, 792-802.