Nonlinear interaction behaviour of plane frame-layered soil system subjected to seismic loading

  • Agrawal, Ramakant (Department of Civil Engineering,TRUBA Institute of Engineering and Information Technology) ;
  • Hora, M.S. (Department of Applied Mechanics, Maulana Azad National Institute of Technology)
  • Received : 2010.11.10
  • Accepted : 2012.02.21
  • Published : 2012.03.25


The foundation of a tall building frame resting on settable soil mass undergoes differential settlements which alter the forces in the structural members significantly. For tall buildings it is essential to consider seismic forces in analysis. The building frame, foundation and soil mass are considered to act as single integral compatible structural unit. The stress-strain characteristics of the supporting soil play a vital role in the interaction analysis. The resulting differential settlements of the soil mass are responsible for the redistribution of forces in the superstructure. In the present work, the nonlinear interaction analysis of a two-bay ten-storey plane building frame- layered soil system under seismic loading has been carried out using the coupled finite-infinite elements. The frame has been considered to act in linear elastic manner while the soil mass to act as nonlinear elastic manner. The subsoil in reality exists in layered formation and consists of various soil layers having different properties. Each individual soil layer in reality can be considered to behave in nonlinear manner. The nonlinear layered system as a whole will undergo differential settlements. Thus, it becomes essential to study the structural behaviour of a structure resting on such nonlinear composite layered soil system. The nonlinear constitutive hyperbolic soil model available in the literature is adopted to model the nonlinear behaviour of the soil mass. The structural behaviour of the interaction system is investigated as the shear forces and bending moments in superstructure get significantly altered due to differential settlements of the soil mass.


  1. Aljanabi, A.I.M., Farid, B.J.M. and Mohamad, A.A.A. (1990), "Interaction of plane frames with elastic foundation having normal and shear moduli of subgrade reactions", Int. J. Comput. Struct., 36(6), 1047-1056.
  2. Allam, M.M., Rao, S. and Subramanyam, K.S. (1991), "Frame soil interaction and Wrinkler model", Proceedings of Institution of Civil Engineers, Part 2, 477-494.
  3. Abate, G., Massimino, M.R. and Maugeri, M. (2007), "Soil plasticity and uplifting effects on soil-structure interaction", Workshop of ETC-12 Evaluation Committee for the Application.
  4. Asteris, P.G. (2008), "Finite element micro modeling of infilled frames", Electr. J. Struct. Eng., 8, 1-11.
  5. Asteris, P.G. (2003), "Lateral stiffness of brick masonry infilled plane frames", J. Struct. Eng., 129(8), 1071-1079.
  6. Baker, A.L.L. (1957), Raft Foundations, Concrete Publications Limited, London.
  7. Brown, P.T. and Yu, K.R. (1986), "Load sequence and structure-foundation-interaction", J. Struct. Div.-ASCE, 112(3), 481-488.
  8. Chameski, C. (1956), "Structural rigidity in calculating settlements", J. Soil Mech. Found. Div., 82(SM1), 477-494.
  9. Duncan, J.M. and Chang, C.Y. (1970), "Nonlinear analysis of stress and strain in soils", J. SM FE, ASCE, 96, 1629-1654.
  10. Dutta, S.C., Maity, A. and Moria, D. (1999), "Effect of soil-structure interaction on column moment of building frames", J. Inst. Engineers, Indian, 80, 1-7.
  11. Francis, A.J. (1953), "Some recent developments in structural analysis and design", Proceedings of Engg. Conf. Melbourne, Inst. Eng., Australia.
  12. Fardis, M.N. and Panagiotakos, T.B. (1997), "Seismic design and response of bare and masonry-infilled reinforced concrete buildings part II: Infilled structures", J. Earthq. Eng. 1(3), 475-503.
  13. Grashoff, H. (1957), "Influence of flexural rigidity of superstructure on the distribution of contact pressure and bending moment of an elastic combined footing", Proceedings of 4th Int. Conf. SM & FE, London, 1, 300-306.
  14. Hinton, E. and Owen, D.R.J. (1977), Finite Element Programming, Academic Press, London.
  15. Hora, M. and Patel, A.N. (2005), "Computational Methodology for non-linear soil-structure interaction analysis of infilled building frames", Proceeding of Int. Geot. Conf. St. Petersburg, 1, 175-181.
  16. Hora, M. (2006), "Nonlinear interaction analysis of infilled building frame-soil system", J. Struct. Eng., 33(4), 309-318.
  17. Jain, O.P., Trikha, D.N. and Jain, S.C. (1977), "Differential foundation settlement of high rise buildings", Proceedings of Int. Symp. on Soil- Structure Interaction, University of Roorkee, Roorkee, India, 1, 237-244.
  18. Kondner, R.L. and Zelasko, J.S. (1963), "A hyperbolic stress-strain formulation for sands", Proceedings of Second Pan-American Conf. SM & FE, Brazil, 1, 289-324.
  19. Kim, D.K. and Yun, C.B. (2003), "Time domain earthquake response analysis method for 2-D soil-structure interaction systems", J. Struct. Eng. Mech., 15(6), 717-733.
  20. King, G.J.W. and Chandrasekaran, V.S. (1974), "An assessment of the effects of interaction between a structure and its foundation", Proceedings of Conf. on Settlement of Structures, British, Geotechnical, Cambridge.
  21. King, G.J.W. and Yao, Z.E. (1983), "Simplified interactive analysis of long framed buildings on raft foundation", J. Struct. Eng., 16(3), 62-67.
  22. Kaushik, H.B., Rai, D.C. and Jain, S.K. (2006), "Code approaches to seismic design of masonry-infilled reinforced concrete frames: A state-of-the-art review", Earthq. Spectra, 22, 961-983.
  23. Larnach, W.J. (1970), "Computation of settlement of building frames", CV7 Engineering Publication Works, Revision, 65, 1040-1044.
  24. Lee, I.K. and Brown, P.T. (1972), "Structure-foundation interaction analysis", J. Struct. Div.-ASCE, 98, ST11, 2413-2431.
  25. Meyerhoff, G.G. (1947), "The settlement analysis of building frames", Struct. Eng., 25, 53-63.
  26. Morris, D. (1966), "Interaction of continuous frames and soil media", J. Struct. Div.-ASCE, 5, 13-43.
  27. McCallen, D.B. and Romstad, K.M. (1993), "A nonlinear model for building soil systems, Part I: Formulation", Rep. UCRL-JC-112107 part I, Lawrence Livermore, National Laboratory, Livermore, California, USA.
  28. Mandal, A. (1998), "Soil-structure interaction on building frame: a small scale model study", Int. J. Struct., 18(2), 92-108.
  29. Manos, G.C., Thaumpta, J. and Yasin, B. (2000), "Influence of masonry infills on the earthquake response of multi-storey reinforced concrete structures", Proceedings of the 12th World Conference on Earthquake Engineering, Auckland, New Zealand.
  30. Mohebkhah, A., Tasnimi, A.A. and Moghadam, H.A. (2008), "Nonlinear analysis of masonry-infilled steel frames with openings using discrete element method", J. Constr. Steel Res., 64(12), 1463-1472.
  31. Monica, P., Maylet, U. and Julio, F.L. (2009), "Modeling of masonry of infilled frames, Part I: The plastic concentrator", Eng. Struct., 31(1), 113-118.
  32. Nayak, G.C. and Zienkiewicz, O.C. (1972), "Elasto-plastic, stress analysis - a generalization for various constitutive relations including strain softening", Int. J. Numer. Math. Eng., 5, 113-135.
  33. Noorzaei, J., Viladkar, M.N. and Godbole, P.N. (1991), "Soil-structure interaction of space frame-raft-soil system - A parametric study", Int. J. Comput. Struct., 36(6), 1235-1247.
  34. Seetharamulu, K. and Kumar, A. (1973), "Interaction of foundation beams and soil with frames", Proceedings of 8th Int. Conf. on SM & FE, Moscow, USSR, 231-234.
  35. Subbarao, K.S., Shardaa Bai, H. and Rangnathan, B.V. (1985), "Interaction analysis of frames with beam footing", Proceedings of Indian Geotech. Cont., University of Roorkee, 1, 389-395.
  36. Selvadurai, A.P.S. and Karpurapu, R. (1989), "Composite infinite element for modelling unbounded saturated soil media", J. Geotech. Eng.-ASCE, 1.15(7), 1633-1646.
  37. Sharda Bai, H., Rao, Subba, K.S. and Rangnathan B.V. (1990), "Interaction behaviour of elasto-plastic plane frames with isolated footings on soil", Proceedings of Indian Geotech. Conf., Bombay.
  38. Viladkar, M.N., Godbole, P.N. and Noorzaei, J. (1991), "Soil-structure interaction in plane frames using coupled finite-infinite elements", Int. J. Comput. Struct., 39(5), 535-546.
  39. Viladkar, M.N., Godbole, P.N. and Noorzaei, J. (1994), " Nonlinear soil-structure interaction in plane frames", Int. J. Comput. Struct., 11, 303-316.

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