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Nonlinear interaction analysis of infilled frame-foundation beam-homogeneous soil system

  • Hora, M.S. (Department of Civil Engineering, Maulana Azad National Institute of Technology)
  • 투고 : 2011.07.11
  • 심사 : 2014.06.16
  • 발행 : 2014.09.25

초록

A proper physical modeling of infilled building frame-foundation beam-soil mass interaction system is needed to predict more realistic and accurate structural behavior under static vertical loading. This is achieved via finite element method considering the superstructure, foundation and soil mass as a single integral compatible structural unit. The physical modelling is achieved via use of finite element method, which requires the use of variety of isoparametric elements with different degrees of freedom. The unbounded domain of the soil mass has been discretized with coupled finite-infinite elements to achieve computational economy. The nonlinearity of soil mass plays an important role in the redistribution of forces in the superstructure. The nonlinear behaviour of the soil mass is modeled using hyperbolic model. The incremental-iterative nonlinear solution algorithm has been adopted for carrying out the nonlinear elastic interaction analysis of a two-bay two-storey infilled building frame. The frame and the infill have been considered to behave in linear elastic manner, whereas the subsoil in nonlinear elastic manner. In this paper, the computational methodology adopted for nonlinear soil-structure interaction analysis of infilled frame-foundation-soil system has been presented.

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참고문헌

  1. 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, Geotechnical symposium, Rome, Italy.
  2. Aljanabi, A.I.M., Farid, B.J.M. and Mohamed A.A.A. (1990), "Interaction of plane frames with elastic foundation having normal and shear moduli of subgrade reactions", Comput. Struct., 36(6), 1047-1056. https://doi.org/10.1016/0045-7949(90)90212-K
  3. 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.
  4. Baker, A.L.L. (1957), Raft foundations, Concrete publications limited, London.
  5. Bettess, P. (1977), "Infinite elements", Int. J. Numer. Meth. Eng., 11(1), 53-64. https://doi.org/10.1002/nme.1620110107
  6. Brown, P.T. and Yu, K.R. (1986), "Load sequence and structure-foundation-interaction", J. Struct. Eng. - ASCE , 112(3), 481-488. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:3(481)
  7. Chameski, C. (1956), "Structural rigidity in calculating settlements", J. Soil. Mech. Found - ASCE, 82(SM1), 477-494.
  8. Chore, H.S., Ingle, R.K. and Sawant, V.A. (2010), "Building frame-pile foundation- soil interaction analysis: a parametric study", J. Interact. Multiscale Mech., 3(1), 55-59. https://doi.org/10.12989/imm.2010.3.1.055
  9. Desai, C.S., Phan, H.V. and Perumpral, J.V. (1982), "Mechanics of three-dimensional soil-structure interaction", J. Struct. Eng. - ASCE, 108(5), 1-20.
  10. Desai, C.S. and Lightner, J.G. (1985), "Mixed finite element procedure for soil-structure interaction and construction sequences", Int. J. Numer. Meth. Eng., 21, 801-824. https://doi.org/10.1002/nme.1620210504
  11. Duncan, J.M. and Chang, C.Y. (1970), "Nonlinear analysis of stress and strain in soils", J. Soil. Mech. Found - ASCE, 96, 1629-1654.
  12. Dutta, S.C., Maity, A. and Moria, D. (1999), "Effect of soil-structure interaction on column moment of building frames", J. Inst. Engr., India, 80, 1-7.
  13. 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.
  14. 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 the 4th Int. Conf. SM & FE, London.
  15. Hinton, E. and Owen, D.R.J. (1977), Finite element programming, Academic Press, London.
  16. Hora, M. (2006), "Nonlinear interaction analysis of infilled building frame-soil system", J. Struct. Eng. - ASCE, 33(4), 309-318.
  17. Hora, M.S. (2005), Soil-structure interaction studies on infilled building frames, Ph.D. Thesis, Rajiv Gandhi Prouyogiki Vishwavidayalaya (RGPV), Bhopal-MP, India.
  18. Jain, O.P., Trikha, D.N. and Jain, S.C. (1977), "Differential foundation settlement of high rise buildings", Proceedings of the Int. Symposium on soil- structure interaction, University of Roorkee, Roorkee, India.
  19. Junyi, Y., Feng, J., Xu, Y., Wang, G. and Zhang, C. (2003), "A seismic free input model for FE-SBFE coupling in time domain", Earthq. Eng., 2(1), 51-58. https://doi.org/10.1007/BF02857538
  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 the 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. - ASCE, 16(3), 62-67.
  22. Kondner, R.L. and Zelasko, J.S. (1963), "A hyperbolic stress-strain formulation for sands", Proceedings of the 2 nd Pan-American Conf. SM & FE, Brazil.
  23. Kumar, P. (1985), "Static Infinite element formulation", J. Struct. Eng. - ASCE., 3(11), 2355-2375.
  24. Larnach, W.J. (1970), "Computation of settlement of building frames", CV7 Engineering Publication Works, Revision, 65, 1040-1044.
  25. Lehman, L. (2004), "An effective finite element approach for soil-structure analysis in time domain", J. Struct. Eng. Mech., 21(4), 437-450.
  26. Lee, I.K. and Brown, P.T. (1972), "Structure-foundation interaction analysis", J. Struct. Eng. - ASCE, 98(11), 2413-2431.
  27. Mandal, A. (1998), "Soil-structure interaction on building frame: a small scale model study", Int. J. Struct., 18(2), 92-108.
  28. 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.
  29. Meyerhoff, G.G. (1947), "The settlement analysis of building frames", Structural Engineers, 25, 53-63.
  30. 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(1), 113-135. https://doi.org/10.1002/nme.1620050111
  31. Nayak, G.C. and Zienkiewicz, O.C. (1972), "Convenient forms of stress invariants for plasticity", J. Struct. Eng. - ASCE, 98, ST4, 949-953.
  32. Noorzaei, J, Viladkar, M.N. and Godbole, P.N. (1994), "Nonlinear soil-structure interaction in plane frames", Eng. Comput., 11(4), 303-316. https://doi.org/10.1108/02644409410799308
  33. Noorzaei, J., Viladkar, M.N. and Godbole, P.N. (1991), "Soil-structure interaction of space frame-raft soil system-A parametric study", Comput. Struct., 36(6), 535-546.
  34. Noorzaei, J., Viladkar, M.N. and Godbole, P.N. (1994), "Nonlinear soil-structure interaction in plane frames", Eng. Comput., 11(4), 303-316. https://doi.org/10.1108/02644409410799308
  35. Orakdogen, E. and Girgin, K. (2008), "Performance evaluation of a strengthened building considering the soil-structure interaction", J. Earthq. Eng., 12(2), 222-233.
  36. Owen, D.R.J. and Hinton, E.(1980), Finite elements in Plasticity-Theory and practice, Pineridge Press. Swanesa,UK.
  37. Puglisi, M., Uzcategui, M.U. and Julio, F.L. (2009), "Modeling of masonry of infilled frames. Part I: The plastic concentrator", Eng. Struct., 31(1), 113-118. https://doi.org/10.1016/j.engstruct.2008.07.012
  38. Seetharamulu, K. and Kumar, A. (1973), "Interaction of foundation beams and soil with frames", Proceedings of the 8th Int. Conf. of SM & FE, Moscow, USSR.
  39. Selvadurai, A.P.S. and Karpurapu, R. (1989), "Composite infinite element for modelling unbounded saturated soil media", J. Geotech. Eng. - ASCE, 15(7), 1633-1646.
  40. 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 the Indian Geotech. Conf., Bombay.
  41. Singh, Y. and Das, D. (2006), "Effect of URM infills on seismic performance of RC building frames", Proceedings of the 4th International Conference on Earthquake Engineering. Taipei (Taiwan).
  42. Stavridis, L.T. (2002), "Simplified analysis of layered soil-structure interaction", J. Struct. Eng. - ASCE, 128 (2), 224-230. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:2(224)
  43. Subbarao, K.S., Shardaa Bai, H. and Rangnathan, B.V. (1985), "Interaction analysis of frames with beam footing", Proceedings of the Indian Geotech. Cont., University of Roorkee.
  44. Viladkar, M.N., Godbole, P.N. and Noorzaei, J. (1991), "Soil-structure interaction in plane frames using coupled finite-infinite elements", Comput. Struct., 39(5), 535-546. https://doi.org/10.1016/0045-7949(91)90062-Q
  45. Viladkar, M.N., Noorzaei, J. and Godbole, P.N. (1994), "Behaviour of infinite elements in an elasto-plastic domain", Comput. Struct., 51(4), 337-342. https://doi.org/10.1016/0045-7949(94)90319-0
  46. Weaver, U. J. and Gere, M.J. (1986), Matrix analysis of framed structures, CBS Publishers, Delhi.

피인용 문헌

  1. Finite Element Modeling of Soil Structure Interaction System with Interface: A Review vol.28, pp.5, 2014, https://doi.org/10.1007/s11831-020-09505-2