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Seismic Behaviour of Ancient Multidrum Structures

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Computational Methods in Earthquake Engineering

Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 21))

Abstract

Strong earthquakes are common causes of destruction of ancient monuments, such as classical columns and colonnades. Ancient columns of great archaeological significance can be found in high seismicity areas in the Eastern Mediterranean. Understanding the behaviour and response of these historic structures during strong earthquakes is useful for the assessment of conservation and rehabilitation proposals for such structures. The seismic behaviour of ancient columns and colonnades involves complicated rocking and sliding phenomena that very rarely appear in modern structures. Analytical study of such multi-block structures under strong earthquake excitations is extremely complicated if not impossible. Computational methods can be used to simulate the dynamic behaviour and seismic response of these structures. The discrete element method (DEM) is utilized to investigate the response of ancient multi-drum columns and colonnades during harmonic and earthquake excitations by simulating the individual rock blocks as distinct rigid bodies.

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References

  1. Alexander C, Ishikawa S, Silverstein M (1977) A pattern language: towns, buildings, construction. Oxford University Press, New York

    Google Scholar 

  2. Alexandris A, Psycharis IN, Protopapa EA (2001) The collapse of the Temple of Zeus at Olympia. Back analysis using the distinct element method. In: Proceedings of the second Greek national conference on earthquake engineering and seismology, vol 1, Greece, pp 297–306

    Google Scholar 

  3. Allen R, Duan X (1995) Effects of linearizing on rocking block. J Struct Eng 12(7):1146–1149

    Article  Google Scholar 

  4. Aslam M, Godden W, Scalise D (1980) Earthquake rocking response on rigid bodies. J Struct Div ASCE 106(ST2):377–392

    Google Scholar 

  5. Barbosa R, Ghaboussi (1989) Discrete finite element method. In: Proceedings of the 1st U.S. conference on discrete element methods, Golden, CO

    Google Scholar 

  6. Bathe KJ (1996) Finite element procedures. Prentice-Hall Inc., Englewood Cliffs, NJ

    Google Scholar 

  7. Beskos D (1993/4) Use of finite and boundary elements in the analysis of monuments and special structures. Bulletin of the association of civil engineers of Greece, No. 216 [in Greek]

    Google Scholar 

  8. Beskos D (1993/4) Use of finite and boundary elements in the analysis of monuments and special structures. Bulletin of the association of civil engineers of Greece, No. 217 [in Greek]

    Google Scholar 

  9. Cook BK, Jensen RP (eds) (2002) Discrete element methods: numerical modelling of discontinua. In: Proceedings of the third international conference on discrete element methods, Santa Fe, NM

    Google Scholar 

  10. Connor R, Gill MJ, Williams J (1993) A linear complexity contact detection algorithm for multi-body simulations. In: Proceedings of the 2nd international conference on discrete element methods, Boston, MA, pp 53–64

    Google Scholar 

  11. Cundall PA (1971) A computer model for simulating progressive large scale movements in block rock systems. In: Proceedings of the symposium of international society of rock mechanics, 1, paper II-8, Nancy, France

    Google Scholar 

  12. Cundall PA, Hart RD (1992) Numerical modelling of discontinua. Eng Comp 9(2):101–113

    Article  Google Scholar 

  13. Cundall PA, Marti J, Beresford P, Last NC and Asgian MI (1978) Computer modeling of jointed rock masses. U.S. Army Engineer Waterways Experiment Station, Vicksburg, Mississippi, Tech. Report N-78-4

    Google Scholar 

  14. Demosthenous M, Manos GC (1996) Study of the dynamic response of models of ancient columns or colonnades subjected to horizontal base motions. Struct Dyn-EURODYN

    Google Scholar 

  15. Feng YT, Owen DRJ (2002) Discrete element methods: numerical modelling of discontinua. In: Proceedings of the third international conference on discrete element methods, Santa Fe, NM, pp 32–41

    Google Scholar 

  16. Fletcher B (1905) A history of architecture on the comparative method for the student, craftsman, and amateur. Charles Scribner’s Sons, New York

    Google Scholar 

  17. Hogan S (1990) The many steady state responses of a rigid block under harmonic forcing. Earthquake Eng Struct Dyn 19:1057–1071

    Article  Google Scholar 

  18. Housner GW (1963) The behaviour of inverted pendulum structures during earthquakes. Bull Seismol Soc Am 53:403–417

    Google Scholar 

  19. Ishiyama Y (1982) Motions of rigid bodies and criteria for overturning by earthquake excitations. Earthquake Eng Struct Dyn 10(5):635–650

    Article  Google Scholar 

  20. Itasca Consulting Group Inc. (2004) UDEC-Universal Distinct Element Code version 4.0. Theory and Background Manual, Minnesota, MN

    Google Scholar 

  21. Kim, Y-S, Miura K, Miura S, Nishimura M (2001) Vibration characteristics of rigid body placed on sand ground. Soil Dyn Earthquake Eng 21(1):19–37

    Article  Google Scholar 

  22. Kimura H, Iida K (1934) On rocking of rectangular columns (I&II) (in Japanese). J Seismol Soc Jpn 6:125–149 & 165–212

    Google Scholar 

  23. Koh AS, Spanos PD, Roesset J (1986) Harmonic rocking of rigid body block on flexible foundation. J Eng Mech, ASCE, 112(11):1165–1180

    Article  Google Scholar 

  24. Koh AS, Spanos PD (1986) Analysis of block random rocking. Soil Dyn Earthquake Eng 5:178–183

    Article  Google Scholar 

  25. Komodromos P (2005) A simplified updated Lagrangian approach for combining discrete and finite element methods. Comput Mech 35(4):305–313

    Article  MATH  Google Scholar 

  26. Komodromos P, Papaloizou L, Polycarpou P (2008) Simulation of the response of ancient columns under harmonic and earthquake excitations. Eng Struct 30(8):2154–2164

    Article  Google Scholar 

  27. Komodromos P, Papaloizou L, Polycarpou P, Mavronicola E (2007) Modern object-oriented design of structural engineering software. In: Proceedings of the eleventh international conference on civil, structural and environmental engineering computing, St. Julians, Malta

    Google Scholar 

  28. Komodromos P, Williams J (2002) Utilization of Java and Database Technology in the development of a combined discrete and finite element multibody dynamics simulator. In: Proceedings of the 3rd international conference on discrete element methods, Santa Fe, NM, ASCE Geotechnical Special Publication, 117, pp 118–124

    Google Scholar 

  29. Komodromos PI, Williams JR (2004) Dynamic simulation of multiple deformable bodies using combined discrete and finite element methods. Eng Comput (Swansea, Wales), 21(2–4):431–448

    Google Scholar 

  30. Konstantinidis D, Makris N (2005) Seismic response analysis of multidrum classical columns. Earthquake Eng Struct Dyn 34:1243–1270

    Article  Google Scholar 

  31. De Lorenzis L, DeJong M, Ochsendorf J (2007) Failure of masonry arches under impulse base motion. Earthquake Eng Struct Dyn 36 (14):2119–2136

    Article  Google Scholar 

  32. Lemos JV (2007) Discrete element modelling of masonry structures. J Architectural Heritage 1:190–213

    Article  Google Scholar 

  33. Liu XL, Lemos JV (2001) Procedure for contact detection in discrete element analysis. J Adv Eng Softw 32:409–415

    Article  MATH  Google Scholar 

  34. Mackie RI (1992) Object-oriented programming of the finite element method. Int J Num Methods Eng (35):425–436

    Article  MATH  Google Scholar 

  35. Madan A (2004) Object-oriented paradigm in programming for computer-aided analysis of structures. J Comput Civil Eng 18(3):226–236

    Article  MathSciNet  Google Scholar 

  36. Makris N, Roussos YS (2000) Rocking response of rigid blocks under near-source ground motions. Geotechnique 50 (3):243–262

    Article  Google Scholar 

  37. Makris N, Zhang J (2001) Rocking response of anchored blocks under pulse-type motions. J Eng Mech 127:484–493

    Article  Google Scholar 

  38. Manos GC, Demosthenous M, Kourtides V, Hatzigeorgiou A (2001) Dynamic and earthquake behaviour of models of ancient columns and colonnades with or without energy absorptions systems. In: Proceedings of second Greek national conference on earthquake engineering and seismology, vol 1. Thessaloniki, Greece, pp 257–276

    Google Scholar 

  39. Manos GC, Kourtides V, Demosthenous M, Tsakmakides E (2007) Experimental and numerical investigation of the sliding behaviour of a set of two rigid blocks subjected to cyclic shear-type loads. WIT Trans Built Environ 95:633–643

    Article  Google Scholar 

  40. Mitsopoulou E, Doudoumis IN, Paschalidis V (1998) Numerical analysis of the dynamic seismic response of multi-block monumental structures. In: Proceedings of the eleventh European conference on earthquake engineering. A.A. Balkema, Rotterdam

    Google Scholar 

  41. Mitsopoulou E, Papaloizou L (2006) Evaluation of the response of a stone-masonry building using inelastic analysis procedure. In: Second international conference on nonsmooth/nonconvex mechanics with applications in engineering (II. NNMAE), Thessaloniki

    Google Scholar 

  42. Mouzakis H, Psycharis I, Papastamatiou D, Carydis P, Papantonopoulos C, Zambas C (2002) Experimental investigation of the earthquake response of a model of a marble classical column. Earthquake Eng Struct Dyn 31:1681–1698

    Article  Google Scholar 

  43. Mustoe G, Henriksen M, Huttelmaier H (eds) (1989) Proceedings of the first U.S. conference on discrete element methods. Colorado School of Mines, Golden, CO

    Google Scholar 

  44. Newmark NM (1965) Effects of earthquakes on dams and embankments. Fifth Rankine lecture. Geotechnique 15:139–160

    Google Scholar 

  45. O’Connor M. Ruaidhri (1996) A distributed discrete element modelling environment – algorithms, implementation, and applications. Ph.D. thesis, Department of Civil and Environmental Engineering, MIT

    Google Scholar 

  46. Omori F (1900) Seismic experiments on the fracturing and overturning of columns. Publications Earthquake Investigation Committee in Foreign Language 4:69–141

    Google Scholar 

  47. Omori F (1902) On the overturning and sliding of columns. Publications of the Earthquake Investigation Committee in Foreign Language 12:8–27

    Google Scholar 

  48. Papaloizou L, Komodromos P (2009) Planar investigation of the seismic response of ancient columns and colonnades with epistyles using a custom-made software. Soil Dyn Earthquake Eng 29(11–12):1437–1454

    Article  Google Scholar 

  49. Papantonopoulos C, Psycharis I, Papastamatiou D, Lemos J, Mouzakis H (2002) Numerical prediction of the earthquake response of classical columns using the distinct element method. Earthquake Eng Struct Dyn 31:1699–1717

    Article  Google Scholar 

  50. Papastamatiou D, Psycharis I (1993) Seismic response of classical monuments. A numerical perspective developed at the temple of Apollo in Bassae. Greece, Terra Nova 5:591–601

    Article  Google Scholar 

  51. Peña F, Prieto F, Lourenco PB, Campos Costa A, Lemos JV (2007) On the dynamics of rocking motion of single rigid-block structures. Earthquake Eng Struct Dyn 36(15):2383–2399

    Article  Google Scholar 

  52. Pombei A, Scalia A, Sumbatyan MA (1998) Dynamics of rigid block due to horizontal ground motion. J Eng Mech ASCE 124(7):713–717

    Article  Google Scholar 

  53. Psycharis I.N (1990) Dynamic behaviour of rocking two-block assemblies. Earthquake Eng Struct Dyn 19(4):555–575

    Article  Google Scholar 

  54. Psycharis IN (2006) Applications in the restoration of ancient monuments. In: Chapter 4.4 Fracture and failure of natural building stones. Springer, The Netherlands

    Google Scholar 

  55. Psycharis I, Jennings P (1983) Rocking of slender rigid bodies allowed to uplift. Earthquake Eng Struct Dyn 11:57–76

    Article  Google Scholar 

  56. Psycharis I, Lemos J, Papastamatiou D, Zambas C, Papantonopoulos C (2003) Numerical study of the seismic behaviour of a part of the Parthenon Pronaos. Earthquake Eng Struct Dyn 32:2063–2084

    Article  Google Scholar 

  57. Psycharis IN, Papastamatiou DY, Alexandris AP (2000) Parametric investigation of the stability of classical columns under harmonic and earthquake excitations. Earthquake Eng Struct Dyn 29:1093–1109

    Article  Google Scholar 

  58. Scalia A, Sumbatyan MA (1996) Slide rotation of rigid bodies subjected to a horizontal ground motion. Earthquake Eng Struct Dyn 25:1139–1149

    Article  Google Scholar 

  59. Shenton H, Jones N (1991) Base excitation of rigid bodies. 1: Formulation. J Eng Mech ASCE 117(EM10):2286–2306

    Google Scholar 

  60. Shenton H, Jones N (1991) Base excitation of rigid bodies. 2: Periodic slide-rock response. J Eng Mech ASCE 117(EM10):2307–2328

    Google Scholar 

  61. Shenton H (1996) Criteria of initiation of slide, rock, and slide-rock rigid-body modes. J Eng Mech, ASCE 122:690–693

    Article  Google Scholar 

  62. Shi B, Anooshehpoor A, Zeng Y, Brune JN (1984) Rocking of rigid blocks due to harmonic shaking. J Eng Mech 110:1627–1642

    Article  Google Scholar 

  63. Shi GH (1989) Discontinuous deformation analysis – a new numerical model for the statics and dynamics of block systems. Lawrence Berkeley Laboratory, Report to DOE OWTD, Contract AC03-76SF0098, September 1988; also Ph.D. Thesis, University of California, Berkeley, CA

    Google Scholar 

  64. Sinopoli A (1990) Dynamics and impact in a system with unilateral constraints. The relevance of dry friction. J Italian Assoc Theoretical Appl Mech 22:210–215

    Google Scholar 

  65. Spanos PD, Koh AS (1984) Rocking of rigid blocks due to harmonic shaking. J Eng Mech 110:1627–1642

    Article  Google Scholar 

  66. Spanos PD, Roussis PC, Politis NPA (2001) Dynamic analysis of stacked rigid blocks. Soil Dyn Earthquake Eng 21(7):559–578

    Article  Google Scholar 

  67. Tso W, Wong C (1989) Steady state rocking response of rigid blocks. Part 1: Analysis. Earthquake Eng Struct Dyn 18:89–106

    Article  Google Scholar 

  68. Tso W, Wong C (1989) Steady state rocking response of rigid blocks. Part 2: Experiment. Earthquake Eng Struct Dyn 18:107–120

    Article  Google Scholar 

  69. Williams J Mustoe G (eds) (1993) Proceedings of the 2nd international conference on discrete element methods. Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, IESL Publications, Boston, MA

    Google Scholar 

  70. Williams J (1988) Contact analysis of large numbers of interacting bodies using discrete modal methods for simulating material failure on the microscopic scale. Eng Comput 5(3): 198–209

    Article  Google Scholar 

  71. Williams JR, Mustoe GGW (1987) Modal methods for the analysis of discrete systems. Comp Geotech 4:1–19

    Article  Google Scholar 

  72. Working Model (2000) User’s manual. MSC Software Corporation, San Mateo, CA

    Google Scholar 

  73. Younis C, Tadjbakhsh G (1984) Response of sliding rigid structure to base excitation. J Eng Mech ASCE 110(3):417–432

    Article  Google Scholar 

  74. Yim CS, Lin H (1991) Nonlinear impact and chaotic response of slender rocking objects. J Eng Mech, ASCE 117(9):2079–2100

    Article  Google Scholar 

  75. Yim CS, Chopra A, Penzien J (1980) Rocking response of rigid blocks to earthquakes. Earthquake Eng Struct Dyn 8(6):567–587

    Article  Google Scholar 

  76. Zhang J, Makris N (2001) Rocking response of free-standing blocks under cycloidal pulses. J Eng Mech ASCE 127(5):473–483

    Article  Google Scholar 

  77. Zimmerman T, Bomme P, Eyheramendy D, Vernier L, Commend S (1998) Aspects of an object-oriented finite element environment. Comput Struct 68:1–16

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, University of Cyprus, 20537, 1678, Nicosia, Cyprus

    Loizos Papaloizou & Petros Komodromos

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  1. Loizos Papaloizou
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  2. Petros Komodromos
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Correspondence to Petros Komodromos .

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Editors and Affiliations

  1. Inst. Structural Analysis &, Seismic Research, National Technical Univ. Athen, Iroon Polytechniou Str. 9, Athens, 157 80, Greece

    Manolis Papadrakakis

  2. , Institute of Structural Analysis and Sei, National Technical University of Athens,, Iroon Polytechniou, Zagrafou Campus 9, Athens, 15780, Greece

    Michalis Fragiadakis

  3. National Technical University of Athens,, Iroon Polytechniou, Zografou Campus 9, Athens, 15780, Greece

    Nikos D. Lagaros

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Papaloizou, L., Komodromos, P. (2011). Seismic Behaviour of Ancient Multidrum Structures. In: Papadrakakis, M., Fragiadakis, M., Lagaros, N. (eds) Computational Methods in Earthquake Engineering. Computational Methods in Applied Sciences, vol 21. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0053-6_11

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  • DOI: https://doi.org/10.1007/978-94-007-0053-6_11

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