Earthquakes and Structures

  • 제10권3호
  • /
  • Pages.495-521
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  • 2016
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  • 2092-7614(pISSN)
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  • 2092-7622(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Two-dimensional numerical investigation of the effects of multiple sequential earthquake excitations on ancient multi-drum columns

  • Papaloizou, Loizos (Department of Civil and Environmental Engineering, University of Cyprus) ;
  • Polycarpou, Panayiotis (Department of Engineering, University of Nicosia) ;
  • Komodromos, Petros (Department of Civil and Environmental Engineering, University of Cyprus) ;
  • Hatzigeorgiou, George D. (School of Science and Technology, Hellenic Open University) ;
  • Beskos, Dimitri E. (Department of Civil Engineering, University of Patras)
  • 투고 : 2015.04.19
  • 심사 : 2016.01.23
  • 발행 : 2016.03.25
⟨ 이전 논문 다음 논문 ⟩

초록

Ancient monuments of Greek and Roman classical architecture usually consist of multi-drum columns that are constructed of stone blocks placed on top of each other. Several research studies deal with the seismic behaviour of such structures, since earthquakes are common causes of destruction of such monuments. This paper investigates the effect of multiple earthquakes on the seismic performance of multi-drum columns, through numerical simulations and parametric analyses. The Discrete Element Method and an appropriate contact model have been implemented in a specially developed software application that is able to efficiently perform the necessary simulations in two dimensions. Specifically, various strong ground excitations are used in series for the computation of the collective final deformation of multi-drum columns. In order to calculate this cumulative deformation for a series of ground motions, the individual deformation of the column for each excitation is computed and then used as initial conditions for the next earthquake excitation. Various multi-drum columns with different dimensions are also considered in the analyses in order to examine how the geometric characteristics of columns can affect their seismic sequence behaviour, in combination with the excitation frequency content.

키워드

참고문헌

  1. Alexandris, A., Psycharis, I.N. and Protopapa, E.A. (2001), "The collapse of the Temple of Zeus at Olympia. Back analysis using the Distinct Element Method", Proceedings of the Second Greek National Conference on Earthquake Engineering and Seismology, 297-306.
  2. Ambraseys, N. and Psycharis, I.N. (2011), "Earthquake stability of columns and statues", J. Earthq. Eng., 15(5), 685-710. https://doi.org/10.1080/13632469.2010.541549
  3. Ambraseys, N. and Psycharis, I.N. (2012), "Assessment of the long-term seismicity of Athens from two classical columns", Bull. Earthq. Eng., 10(6), 1635-1666. https://doi.org/10.1007/s10518-012-9388-1
  4. Arias, A. (1970), Measure of earthquake intensity. Seismic Design for Nuclear Power Plants, Ed., Robert J. Hansen, Cambridge, MA, The M.I.T. Press.
  5. Barbosa, R. and Ghaboussi, J. (1989), "Discrete finite element method", Proceedings of the 1st U.S. Conference on Discrete Element Methods, Golden, Co.
  6. Bathe, K.J. (1996), Finite Element Procedures, Prentice-Hall Inc. Englewood Cliffs, New Jersey.
  7. Beskos, D. (1993), "Use of finite and boundary elements in the analysis of monuments and special structures", Bull. Assoc. Civ. Eng. Greece, 216. (in Greek)
  8. Beskos, D. (1993), "Use of finite and boundary elements in the analysis of monuments and special structures", Bull. Assoc. Civ. Eng. Greece, 217. (in Greek)
  9. Connor, R., Gill, M.J. and Williams, J. (1993), "A linear complexity contact detection algorithm for multibody simulations", Proceedings of the 2nd International Conference on Discrete Element Methods, Boston, MA.
  10. Cundall, P.A. (1971), "A computer model for simulating progressive large scale movements in block rock systems", Proceedings of the Symposium of International Society of Rock Mechanics, Nancy, France.
  11. DeJong, M.J. and Dimitrakopoulos, E.G. (2014), "Dynamically equivalent rocking structures", Earthq. Eng. Struct. Dyn., 43(10), 1543-1563. https://doi.org/10.1002/eqe.2410
  12. Dimitrakopoulos, E.G. and DeJong, M.J. (2012), "Overturning of retrofitted rocking structures under pulsetype excitations", J. Eng. Mech., 138(8), 963-972. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000410
  13. Drosos, V. and Anastasopoulos, I. (2014), "Shaking table testing of multidrum columns and portals", Earthq. Eng. Struct. Dyn., 43(11), 1703-1723. https://doi.org/10.1002/eqe.2418
  14. Efraimiadou, S., Hatzigeorgiou, G.D. and Beskos, D.E. (2013), "Structural pounding between adjacent buildings subjected to strong ground motions. Part II: the effect of multiple earthquakes", Earthq. Eng. Struct. Dyn., 42(10), 1529-1545. https://doi.org/10.1002/eqe.2284
  15. Faisal, A., Majid, T.A. and Hatzigeorgiou, G.D. (2013), "Investigation of story ductility demands of inelastic concrete frames subjected to repeated earthquakes", Soil Dyn. Earthq. Eng., 44, 42-53. https://doi.org/10.1016/j.soildyn.2012.08.012
  16. Feng, Y.T. and Owen, D.R.J. (2002), "Discrete element methods: Numerical modeling of discontinua", Proceedings of the Third International Conference on Discrete Element Methods, Santa Fe.
  17. Fragiacomo, M., Amadio. C. and Macorini, L. (2004), "Seismic response of steel frames under repeated earthquake ground motions", Eng. Struct., 26(13), 2021-2035. https://doi.org/10.1016/j.engstruct.2004.08.005
  18. Guidoboni, E. and Valensise, G. (2015), "On the complexity of earthquake sequences: a historical seismology perspective based on the L'Aquila seismicity (Abruzzo, Central Italy) 1315-1915", Earthq. Struct., 8(1), 153-154. https://doi.org/10.12989/eas.2015.8.1.153
  19. Hatzigeorgiou, G. and Liolios, A.A. (2010), "Nonlinear behaviour of RC frames under repeated strong ground motions", Soil Dyn. Earthq. Eng., 30(10), 1010-1025. https://doi.org/10.1016/j.soildyn.2010.04.013
  20. Hatzigeorgiou, G.D. (2010a), "Behaviour factors for nonlinear structures subjected to multiple near-fault earthquakes", Comput. Struct., 88(5), 309-321. https://doi.org/10.1016/j.compstruc.2009.11.006
  21. Hatzigeorgiou, G.D. (2010b), "Ductility demand spectra for multiple near-and far-fault earthquakes", Soil Dyn. Earthq. Eng., 30(4), 170-183. https://doi.org/10.1016/j.soildyn.2009.10.003
  22. Hatzigeorgiou, G.D. (2010c), "Ductility demands control under repeated earthquakes using appropriate force reduction factors", J. Earthq. Tsunami, 4(3), 231-250. https://doi.org/10.1142/S1793431110000832
  23. Hatzigeorgiou, G.D. and Beskos, D.E. (2009), "Inelastic displacement ratios for SDOF structures subjected to repeated earthquakes", Eng. Struct., 31(11), 2744-2755. https://doi.org/10.1016/j.engstruct.2009.07.002
  24. Hinzen, K.-G. (2009), "Sensitivity of earthquake-toppled columns to small changes in ground motion and geometry", Israel J. Earth Sci., 58(3-4), 309-326. https://doi.org/10.1560/IJES.58.3-4.309
  25. Hinzen, K.-G., Fleischer, C., Reamer, S.K., Schreiber, S., Schutte, S. and Yerli, B. (2011), "Quantitative methods in archaeoseismology", Quaternary Int., 242(1), 31-41. https://doi.org/10.1016/j.quaint.2010.11.006
  26. Housner, G.W. (1963), "The behavior of inverted pendulum structures during earthquakes", Bull. Seism. Soc. Am., 53(2), 403-417.
  27. Ishiyama, Y. (1982), "Motions of rigid bodies and criteria for overturning by earthquake excitations", Earthq. Eng. Struct. Dyn., 10(5), 635-650. https://doi.org/10.1002/eqe.4290100502
  28. Kimura, H. and Iida, K. (1934), "On rocking of rectangular columns (I&II)", J. Seism. Soc. Japan, 6, 125-149. (in Japanese)
  29. Komodromos, P., Papaloizou, L. and Polycarpou, P. (2008), "Simulation of the response of ancient columns under harmonic and earthquake excitations", Eng. Struct., 30(8), 2154-2164. https://doi.org/10.1016/j.engstruct.2007.11.004
  30. Konstantinidis, D. and Makris, N. (2005), "Seismic response analysis of multidrum classical columns", Earthq. Eng. Struct. Dyn., 34(10), 1243-1270. https://doi.org/10.1002/eqe.478
  31. Kounadis, A.N. (2010), "On the overturning instability of a rectangular rigid block under ground excitation", Open Mech. J., 4(1), 43-57. https://doi.org/10.2174/1874158401004010043
  32. Kounadis, A.N. (2013a), "Parametric study in rocking instability of a rigid block under harmonic ground pulse: A unified approach", Soil Dyn. Earthq. Eng., 45, 125-143. https://doi.org/10.1016/j.soildyn.2012.10.002
  33. Kounadis, A.N. (2013b), "Rocking instability of free-standing statues atop slender cantilevers under ground motion", Soil Dyn. Earthq. Eng., 48, 294-305. https://doi.org/10.1016/j.soildyn.2011.12.002
  34. Kounadis, A.N. (2014a), "Rocking instability of free-standing statues atop slender viscoelastic columns under ground motion", Soil Dyn. Earthq. Eng., 63, 83-91. https://doi.org/10.1016/j.soildyn.2014.01.021
  35. Kounadis, A.N. (2014b), "Rocking instability under ground motion of large statues freely standing atop elastically supported cantilevers", Archive Appl. Mech., 84(7), 933-951. https://doi.org/10.1007/s00419-013-0786-x
  36. Kounadis, A.N., Papadopoulos, G.J. and Cotsovos, D.M. (2012), "Overturning instability of a two-rigid block system under ground excitation", ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 92(7), 536-557. https://doi.org/10.1002/zamm.201100095
  37. Li, Q. and Ellingwood, B.R. (2007), "Performance evaluation and damage assessment of steel frame buildings under main shock-aftershock sequences", Earthq. Eng. Struct. Dyn., 36(3), 405-427. https://doi.org/10.1002/eqe.667
  38. Liu, X.L. and Lemos, J.V. (2001), "Procedure for contact detection in discrete element analysis", Adv. Eng. Softw., 32(5), 409-415. https://doi.org/10.1016/S0965-9978(00)00101-0
  39. Loulelis, D., Hatzigeorgiou, G.D. and Beskos, D.E. (2012), "Moment resisting steel frames under repeated earthquakes", Earthq. Struct., 3(3-4), 231-248. https://doi.org/10.12989/eas.2012.3.3_4.231
  40. Makris, N. (2014), "The role of the rotational inertia on the seismic resistance of free-standing rocking columns and articulated frames", Bull. Seism. Soc. Am., 104(5), 2226-2239. https://doi.org/10.1785/0120130064
  41. Makris, N. and Vassiliou, M.F. (2013), "Planar rocking response and stability analysis of an array of freestanding columns capped with a freely supported rigid beam", Earthq. Eng. Struct. Dyn., 42(3), 431-449. https://doi.org/10.1002/eqe.2222
  42. Makris, N. and Vassiliou, M.F. (2014), "Are some top-heavy structures more stable?", J. Struct. Eng., ASCE, 140(5), art. no. 06014001.
  43. Makris, N. and Zhang, J. (2001), "Rocking response of anchored blocks under pulse-type motions", J. Eng. Mech., ASCE, 127(5), 484-493. https://doi.org/10.1061/(ASCE)0733-9399(2001)127:5(484)
  44. Manos, G.C. and Demosthenous, M. (1991), "Comparative study of the dynamic response of solid and sliced rigid bodies", Proceedings of the International Modal Analysis Conference-IMAC, 2, 1442-1448.
  45. Manos, G.C., Demosthenous, M., Kourtides, V. and Hatzigeorgiou, A. (2001), "Dynamic and earthquake behavior of models of ancient columns and colonnades with or without energy absorbtions systems", Proceedings of Second Greek National Conference on Earthquake Engineering and Seismology, 1, 257-276.
  46. Michaltsos, G.T. and Raftoyiannis, I.G. (2014), "Rocking and sliding of ancient temple columns under earthquake excitations", Int. J. Struct. Stab. Dyn., 14(2), art. no. 1350058.
  47. Mitsopoulou, E., Doudoumis, I.N. and Paschalidis, V. (1998), "Numerical analysis of the dynamic seismic response of multi-block monumental structures", Proceedings of the Eleventh European Conference on Earthquake Engineering, Paris.
  48. Moustafa, A. and Takewaki, I. (2011), "Response of nonlinear single-degree-of-freedom structures to random acceleration sequences", Eng. Struct., 33(4), 1251-1258. https://doi.org/10.1016/j.engstruct.2011.01.002
  49. Moustafa, A. and Takewaki, I. (2012), "Characterization of earthquake ground motion of multiple sequences", Earthq. Struct., 3(5), 629-647. https://doi.org/10.12989/eas.2012.3.5.629
  50. Mouzakis, H., Psycharis, I., Papastamatiou, D., Carydis, P., Papantonopoulos, C. and Zambas, C. (2002), "Experimental investigation of the earthquake response of a model of a marble classical column", Earthq. Eng. Struct. Dyn., 31(9), 1681-1698. https://doi.org/10.1002/eqe.184
  51. Newmark, N.M. (1965), "Effects of earthquakes on dams and embankments", Fifth Rankine Lecture. Geotech., 15, 139-160.
  52. Ning, Y. and Zhao, Z. (2013), "A detailed investigation of block dynamic sliding by the discontinuous deformation analysis", Int. J. Numer. Anal. Meth. Geomech., 37(15), 2373-2393. https://doi.org/10.1002/nag.2140
  53. Omori, F. (1900), "Seismic experiments on the fracturing and overturning of columns", Pub. Earthq. Invest. Comm. Foreign Language, 4, 69-141.
  54. Omori, F. (1902), "On the overturning and sliding of columns", Pub. Earthq. Invest. Comm. Foreign Language, 12, 8-27.
  55. Pacific Earthquake Engineering Research Center-PEER, Next Generation Attenuation Database. http://peer.berkeley.edu/peer_ground_motion_database/24/10/2012.
  56. Papaloizou, L. and Komodromos, P. (2009), "Planar investigation of the seismic response of ancient columns and colonnades with epistyles using a custom-made software", Soil Dyn. Earthq. Eng., 29(11-12), 1437-1454. https://doi.org/10.1016/j.soildyn.2009.06.001
  57. Papaloizou, L. and Komodromos, P. (2012), "Investigating the seismic response of ancient multi-drum colonnades with two rows of columns using an object-oriented designed software", Adv. Eng. Softw., 44(1), 136-149. https://doi.org/10.1016/j.advengsoft.2011.05.030
  58. Papaloizou, L. and Komodromos, P. (2012), "The effect of earthquake frequency content on ancient multidrum structures", 15WCEE, Conference proceedings, Lisboa.
  59. Papantonopoulos, C., Psycharis, I., Papastamatiou, D., Lemos, J. and Mouzakis, H. (2002), "Numerical prediction of the earthquake response of classical columns using the distinct element method", Earthq. Eng. Struct. Dyn., 31(9), 1699-1717. https://doi.org/10.1002/eqe.185
  60. Papastamatiou, D. and Psycharis, I. (1993), "Seismic response of classical monuments. A numerical perspective developed at the temple of Apollo in Bassae, Greece", Terra Nova, 5(6), 591-601. https://doi.org/10.1111/j.1365-3121.1993.tb00309.x
  61. Polycarpou, P.C., Papaloizou, L. and Komodromos, P. "An efficient methodology for simulating earthquake-induced 3D pounding of buildings", Earthq. Eng. Struct. Dyn., 43(7), 985-1003. https://doi.org/10.1002/eqe.2383
  62. Pompei, A., Scalia, A. and Sumbatyan, M.A. (1998), "Dynamics of rigid block due to horizontal ground motion", J. Eng. Mech., ASCE, 124(7), 713-717. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:7(713)
  63. Psycharis, I., Lemos, J., Papastamatiou, D., Zambas, C. and Papantonopoulos, C. (2003), "Numerical study of the seismic behavior of a part of the Parthenon Pronaos", Earthq. Eng. Struct. Dyn., 32(13), 2063-2084. https://doi.org/10.1002/eqe.315
  64. Psycharis, I.N. (1990), "Dynamic behavior of rocking two-block assemblies", Earthq. Eng. Struct. Dyn., 19(4), 555-575. https://doi.org/10.1002/eqe.4290190407
  65. Psycharis, I.N. (2007), "A probe into the seismic history of Athens, Greece from the current state of a classical monument", Earthq. Spectra, 23(2), 393-415. https://doi.org/10.1193/1.2722794
  66. Psycharis, I.N. and Jennings, P.C. (1983), "Rocking of slender rigid bodies allowed to uplift", Earthq. Eng. Struct. Dyn., 11(1), 57-76. https://doi.org/10.1002/eqe.4290110106
  67. Psycharis, I.N., Papastamatiou, D.Y. and Alexandris, A.P. (2000), "Parametric investigation of the stability of classical columns under harmonic and earthquake excitations", Earthq. Eng. Struct. Dyn., 29(8), 1093-1109. https://doi.org/10.1002/1096-9845(200008)29:8<1093::AID-EQE953>3.0.CO;2-S
  68. Ruiz-Garcia, J. and Negrete-Manriquez, J.C. (2011), "Evaluation of drift demands in existing steel frames under as-recorded far-field and near-fault mainshock-aftershock seismic sequences", Eng. Struct., 33(2), 621-634. https://doi.org/10.1016/j.engstruct.2010.11.021
  69. Stefanou, I., Fragiadakis, M. and Psycharis, I.N. (2014), "Vulnerability assessment of classical columns with dislocated drums", 2nd European Conference on Earthquake Engineering and Seismology, Istanbul, Turkey.
  70. Stefanou, I., Psycharis, I. and Georgopoulos, I.-O. (2011), "Dynamic response of reinforced masonry columns in classical monuments", Constr. Build. Mater., 25(12), 4325-4337. https://doi.org/10.1016/j.conbuildmat.2010.12.042
  71. Vassiliou, M.F. and Makris, N. (2015), "Dynamics of the vertically restrained rocking column", J. Eng. Mech., 141(12), 04015049. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000953
  72. Voyagaki, E., Psycharis, I.N. and Mylonakis, G. (2013), "Rocking response and overturning criteria for free standing rigid blocks to single-lobe pulses", Soil Dyn. Earthq. Eng., 46, 85-95. https://doi.org/10.1016/j.soildyn.2012.11.010
  73. Wen, Y.-K. (1975), "Approximate method for nonlinear random vibration", J. Eng. Mech. Div., ASCE, 102(EM4), 389-401.
  74. Younis, C. and Tadjbakhsh, G. (1984), "Response of sliding rigid structure to base excitation", J. Eng. Mech., ASCE, 110(3), 417-432. https://doi.org/10.1061/(ASCE)0733-9399(1984)110:3(417)

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