Coupled systems mechanics

  • 제5권4호
  • /
  • Pages.285-304
  • /
  • 2016
  • /
  • 2234-2184(pISSN)
  • /
  • 2234-2192(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Seismic response of foundation-mat structure subjected to local uplift

  • El Abbas, Nadia (Department of Physics, Laboratory of Civil Engineering and Mechanics, Faculty of Science and Techniques) ;
  • Khamlichi, Abdellatif (Department of STIC, National School of Applied Sciences) ;
  • Bezzazi, Mohammed (Department of Physics, Laboratory of Civil Engineering and Mechanics, Faculty of Science and Techniques)
  • 투고 : 2016.09.08
  • 심사 : 2017.02.05
  • 발행 : 2016.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

The effects of large rotations and p-delta on the dynamic response of a structure subjected to seismic loading and local uplift of its foundation were analyzed in this work. The structure was modeled by an equivalent flexible mat mounted on a rigid foundation that is supported either by a Winkler soil type or a rigid soil. The equations of motion of the system were derived by taking into account the equilibrium of the coupled foundation-mat system where the structure was idealized as a single-degree-of-freedom. The obtained nonlinear coupled system of ordinary differential equations was integrated by using an adequate numerical scheme. A parametric study was performed then in order to evaluate the maximum response of the system as function of the intensity of the earthquake, the slenderness of the structure, the ratio of the mass of the foundation to the mass of the structure. Three cases were considered: (i) local uplift of foundation under large rotation with the p-delta effect, (ii) local uplift of foundation under large rotation without including the p-delta effect, (iii) local uplift of foundation under small rotation. It was found that, in the considered ranges of parameters and for moderate earthquakes, assuming small rotation of foundation under seismic loading can yield more adverse structural response, while the p-delta effect has almost no effect.

키워드

참고문헌

  1. Acikgoz, S. and DeJong, M.J. (2012), "The interaction of elasticity and rocking in flexible structures allowed to uplift", J. Earthq. Eng. Struct. Dyn., 41(15), 2177-2194.
  2. Acikgoz, S. and DeJong, M.J. (2014), "The rocking response of large flexible structures to earthquakes", Bull. Earthq. Eng., 12(2), 875-908. https://doi.org/10.1007/s10518-013-9538-0
  3. Anastasopoulos, I., Gazetas, G., Loli, M., Apostolou, M. and Gerolymos, N. (2012), "Soil failure can be used for seismic protection of structures", Bull. Earthq. Eng., 8(2), 309-326.
  4. Apostolou, M., Gazetas, G. and Evangelia, G. (2007), "Seismic response of slender rigid structures with foundation uplifting", J. Soil Dyn. Earthq. Eng., 27(7), 642-654. https://doi.org/10.1016/j.soildyn.2006.12.002
  5. Brebbia, C.A., Telles, J.C.F. and Wrobel, L.C. (1984), Boundary Element Techniques, SpringerVerlag.
  6. Calio, I. and Greco, A. (2016), "Large displacement behavior of a rocking flexible structure under harmonic excitation", J. Vibr. Contr., 22(4), 1-15.
  7. Chorpa, A.K. and Yim, C.S. (1984), "Earthquake response of structure with partial uplift on Winkler foundation", J. Struct. Eng., 12(2), 263-281.
  8. Chorpa, A.K. and Yim, C.S. (1985), "Simplified earthquake response analysis of structures with foundation uplift", J. Struct. Eng., 111(4), 906-931. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:4(906)
  9. Faramarz, K., Mehdi, S. and Farzane, P. (2012), "P-delta effects on earthquake response of structures with foundation uplift", J. Soil Dyn. Earthq. Eng., 34(1), 25-36. https://doi.org/10.1016/j.soildyn.2011.10.010
  10. Guddati, M. and Lim, K. (2006), "Continued fraction absorbing boundary conditions for convex polygonal domains", J. Numer. Meth. Eng., 66(6), 949-977. https://doi.org/10.1002/nme.1574
  11. Houlsby, G.T., Cassidy, M.J. and Einav, I. (2005), "A generalised Winkler model for the behaviour of shallow foundations", Geotech., 55(6), 449-460. https://doi.org/10.1680/geot.2005.55.6.449
  12. Housner, G.W. (1963), "The behavior of invented pendulum structures during earthquakes", Bull. Seismol. Soc. Am., 53(2), 403-417.
  13. Ibrahimbegovic, A. and Wilson, E.L. (1990a), "A methodology for dynamic analysis of linear structurefoundation systems with local non-linearities", Earthq. Eng. Struct. Dyn., 19(8), 1197-1208. https://doi.org/10.1002/eqe.4290190809
  14. Ibrahimbegovic, A. and Wilson, E.L. (1992), "Efficient solution procedures for systems with local nonlinearities", Eng. Comput., 9(3), 385-398. https://doi.org/10.1108/eb023874
  15. Ibrahimbegovic, A., Chen, H.C., Wilson, E.L. and Taylor, R.L. (1990b), "Ritz method for dynamic analysis of large discrete linear systems with non-proportional damping", Earthq. Eng. Struct. Dyn., 19(6), 877-889. https://doi.org/10.1002/eqe.4290190608
  16. Lysmer, J. (1970), "Lumped mass method for Rayleigh waves", Bull. Seismol. Soc. Am., 43, 17-34.
  17. Lysmer, J. and Kuhlemeyer, R.L. (1969), "Finite dynamic model for infinite media", J. Eng. Mech., 95(4), 859-877.
  18. Meek, J.W. (1975), "Effect of foundation tipping on dynamic response", J. Struct. Div., 101, 1297-1311.
  19. Meek, J.W. (1978), "Effect of foundation tipping core building", J. Earthq. Eng. Struct. Dyn., 6(5), 437-454. https://doi.org/10.1002/eqe.4290060503
  20. Oliveto, G., Cali, I. and Greco, A. (2003), "Large displacement behavior of a structural model with foundation uplift under impulsive and earthquake excitations", J. Earthq. Eng. Struct. Dyn., 32(3), 369-393. https://doi.org/10.1002/eqe.229
  21. Psycharis, J. (1983), "Rocking of slender rigid bodies allowed to uplift", J. Earthq. Eng. Struct. Dyn., 11(1), 57-76. https://doi.org/10.1002/eqe.4290110106
  22. Psycharis, N. (1991), "Effect of base uplift on dynamic response of SDOF structures", J. Struct. Eng., 117(3), 733-754. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:3(733)
  23. Sinan, A., Quincy, M., Palermo, A. and Dejong, M.J. (2016), "Experimental identification of the dynamic characteristics of a flexible rocking structure", J. Earthq. Eng., 20(8), 1199-1221. https://doi.org/10.1080/13632469.2016.1138169
  24. Song, C. and Wolf, J.P. (1994), "Dynamic stiffness of unbounded medium based on dampingsolvent extraction", Earthq. Eng. Struct. Dyn., 23(2),169-181. https://doi.org/10.1002/eqe.4290230205
  25. Wolf, J.P. (1985), Dynamic Soil-Structure-Interaction, Prentice-Hall, New Jersey, U.S.A.
  26. Yim, C.S. and Chorpa, A.K. (1979), "Effect of transient foundation uplift on earthquake response of structure", Ph.D. Dissertation, University of California, Berkeley, U.S.A.

피인용 문헌

  1. Spatial interpolation of SPT data and prediction of consolidation of clay by ANN method vol.8, pp.6, 2016, https://doi.org/10.12989/csm.2019.8.6.523