Skip to main content
Log in

A Literature Review on Dynamic Analysis of Concrete Gravity and Arch Dams

  • Original Paper
  • Published:
Archives of Computational Methods in Engineering Aims and scope Submit manuscript

Abstract

This paper is devoted to a literature review for various treatments of dynamic analysis of concrete gravity and arch dams. The dynamic analysis of dams can be carried out by using analytical, semi-analytical, and numerical approaches, which may include nonlinear effects or ignore them. This kind of analysis can be conducted in the time or frequency domain. Different parameters significantly affect the dynamic behavior of dams, such as dam-water interaction, water compressibility, mass and damping of the foundation, sediments at the reservoir bottom, free surface waves, the infinite length of the foundation rock, reservoir and so on. As the analysis methods of dams developed, these parameters were gradually included in the process. Consequently, their capability enhanced in a more realistic investigation of the dams' behavior. This paper aims to illustrate these achievements by briefly reviewing the available published articles. Corresponding researches are categorizing based on the analysis techniques and considering or neglecting the dam-water interaction, sediments, and free surface motions. Assessing the current studies and suggesting future research are carried out. Expressing positive or negative aspects of the existing investigations are also offered.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Westergaard HM (1933) Water pressures on dams during earthquakes. Trans Am Soc Civ Eng 98(2):418–433

    Article  Google Scholar 

  2. Von Karman T et al (1933) Discussion of “Water pressures on dams during earthquakes.” Trans Am Soc Civ Eng 98(2):434–470

    Article  Google Scholar 

  3. Werner PW, Sundquist KJ (1949) On hydrodynamic earthquake effects. Trans Am Geophys Union 30:636–657

    Article  Google Scholar 

  4. Hatano T (1950) Seismic force effect on gravity dam. Trans Jpn Soc Civ Eng 5:83–90

    Google Scholar 

  5. Zangar CN (1952) Hydrodynamic pressures on dams due to horizontal earthquake effects. United states department of the interior Bureau of Reclamation

  6. Kotsubo S (1957) Dynamic water pressure on dams due to irregular earthquakes. Trans Jpn Soc Civ Eng 47:38–45

    Google Scholar 

  7. Zienkiewicz OC, Nath B (1963) Earthquake hydrodynamic pressures on arch dams-an electric analogue solution. Proc Inst Civ Eng 25:165–176

    Google Scholar 

  8. Chopra AK (1967) Hydrodynamic pressures on dams during earthquakes. J Eng Mech Div ASCE 93(6):205–224

    Article  Google Scholar 

  9. Flores A, Herrera I, Lozano C (1968) Hydrodynamic pressure generated by vertical earthquake component. In: 4th Congreso Nacional de Ingenieria Sismica. Veracruz, Mexico

  10. Chwang AT (1978) Hydrodynamic pressures on sloping dams during earthquakes: part 2: exact theory. J Fluid Mech 87:343–348

    Article  MATH  Google Scholar 

  11. Chwang AT, Housner GW (1978) Hydrodynamic pressures on sloping dams during earthquakes: part 1: momentum method. J Fluid Mech 87:335–341

    Article  MATH  Google Scholar 

  12. Chakrabarti P, Nalini VN (1985) Hydordynamic pressure on a dam during earthquakes. J Eng Mech 111(12):1435–1439

    Google Scholar 

  13. Aviles J, Sanchez-Sesma FJ (1986) Hydrodynamic pressure on dams with nonvertical upstream face. J Eng Mech Div ASCE 112(10):1054–1061

    Article  Google Scholar 

  14. Liu PLF (1986) Hydrodynamic pressures on rigid dams during earthquakes. J Fluid Mech 165:131–145

    Article  MathSciNet  MATH  Google Scholar 

  15. Chopra AK (1967) Reservoir-dam interaction during earthquakes. Bull Seismol Soc Am 57(4):675–687

    Article  Google Scholar 

  16. Chopra AK (1968) Earthquake behavior of reservoir-dam systems. J Eng Mech Div ASCE 94(6):1475–1500

    Article  Google Scholar 

  17. Nath B (1971) Coupled hydrodynamic response of a gravity dam. ICE Proc 48:245–257

    Google Scholar 

  18. Liam Finn WD, Varoglu E (1973) Dynamic of gravity dam-reservoir systems. Comput Struct 3:913–924

    Article  Google Scholar 

  19. Hall JF (1986) Study of the earthquake response of Pine Flat dam. Earthq Eng Struct Dyn 14:281–295

    Article  Google Scholar 

  20. Guan F, Moore ID, Lin G (1994) Transient response of reservoir-dam-soil systems to earthquakes. Int J Numer Anal Meth Geomech 18:863–880

    Article  MATH  Google Scholar 

  21. Batta V, Pekau OA (1996) Application of boundary element analysis for multiple seismic cracking in concrete gravity dams. Earthq Eng Struct Dyn 25:15–30

    Article  Google Scholar 

  22. Samii A, Lotfi V (2007) Comparison of coupled and decoupled modal approaches in seismic analysis of concrete gravity dams in time domain. Finite Elem Anal Des 43:1003–1012

    Article  Google Scholar 

  23. Burman A, Nayak P, Agrawal P, Maity D (2012) Coupled gravity dam–foundation analysis using a simplified direct method of soil–structure interaction. Soil Dyn Earthq Eng 34:62–68

    Article  Google Scholar 

  24. Chopra AK, Wilson EL, Farhoomand I (1969) Earthquake analysis of reservoir dam systems. In: 4th World conference on earthquake engineering. Santiago, Chile

  25. Antes H, Von Estorff O (1987) Analysis of absorption effects on the dynamic response of dam reservoir systems by boundary element methods. Earthq Eng Struct Dyn 15:1023–1036

    Article  Google Scholar 

  26. Lee GC, Tsai CS (1991) Time-domain analyses of dam-reservoir systems: II: substructure method. J Eng Mech Div ASCE 117(9):2007–2026

    Article  Google Scholar 

  27. Bayraktar A, Dumanoglu AA, Calayir Y (1996) Asynchronous dynamic analysis of dam-reservoir-foundation systems by the Lagrangian approach. Comput Struct 1996(5):925–935

    Article  MATH  Google Scholar 

  28. Bayraktar A, Dumanoglu AA (1998) The effect of the asynchronous ground motion on hydrodynamic pressures. Comput Struct 68:271–282

    Article  MATH  Google Scholar 

  29. Maity D, Bhattacharyya SK (2003) A parametric studyon fluid–structure interaction problems. J Sound Vib 263:917–935

    Article  Google Scholar 

  30. Lotfi V (2003) Seismic analysis of concrete gravity dams by decoupled modal approach in time domain. Electron J Struct Eng 3:102–116

    Article  Google Scholar 

  31. Kucukarslan S (2004) Time-domain dynamic analysis of dam–reservoir–foundation interaction including the reservoir bottom absorption. Int J Numer Anal Meth Geomech 28:963–980

    Article  MATH  Google Scholar 

  32. Kucukarslan S (2004) Dynamic analysis of dam–reservoir-foundation interaction in time domain. Comput Mech 33:274–281

    Article  MATH  Google Scholar 

  33. Omidi O, Lotfi V (2007) Application of Pseudo-Symmetric technique for seismic analysis of concrete arch dams. Fluid Struct Inter Mov Bound Probl IV 92:153–162

    MATH  Google Scholar 

  34. Birk C, Ruge P (2007) A symmetric time-domain model for 3D dam–reservoir interaction including radiation damping. Earthq Eng Struct Dyn 36:661–682

    Article  Google Scholar 

  35. Gogoi I, Maity D (2007) Influence of Sediment layers on dynamic behavior of aged concrete dams. J Eng Mech Div ASCE 133:400–413

    Article  Google Scholar 

  36. Seghir A, Tahakourt A, Bonnet G (2009) Coupling FEM and symmetric BEM for dynamic interaction of dam–reservoir systems. Eng Anal Bound Elem 33:1201–1210

    Article  MathSciNet  MATH  Google Scholar 

  37. Gogoi I, Maity D (2010) A novel procedure for determination of hydrodynamic pressure along upstream face of dams due to earthquakes. Comput Struct 88:539–548

    Article  Google Scholar 

  38. Zienkiewicz OC, Paul DK, Hinton E (1983) Cavitation in fluid-structure response (with particular reference to dams under earthquake loading). Earthq Eng Struct Dyn 11:463–481

    Article  Google Scholar 

  39. Vargas-Loli LM, Fenves GL (1988) Nonlinear response of concrete gravity dams. in 9th Conference on Earthquake Engineering. Tokyo-Kyoto, Japan

  40. Fenves G, Vargas-Loli LM (1988) Nonlinear dynamic analysis of fluid structure systems. J Eng Mech Div ASCE 114(2):219–240

    Article  Google Scholar 

  41. El-Aidi B, Hall JF (1989) Nonlinear earthquake response of concrete gravity dams part 1: modelling. Earthq Eng Struct Dyn 18:837–851

    Article  Google Scholar 

  42. El-Aidi B, Hall JF (1989) Nonlinear earthquake response of concrete gravity dams part 2: behaviour. Earthq Eng Struct Dyn 18:853–865

    Article  Google Scholar 

  43. Vargas-Loli LM, Fenves G (1989) Effect of concrete cracking on earthquake response of gravity dams. Earthq Eng Struct Dyn 18:575–592

    Article  Google Scholar 

  44. Hung TK, Chen BF (1990) Nonlinear hydrodynamic pressures on dams. J Eng Mech Div ASCE 116(6):1372–1391

    Article  Google Scholar 

  45. Wepf DH, Feltrin G, Bachmann H (1993) Influence of time-domain dam-reservoir interaction on cracking of concrete gravity dams. Earthq Eng Struct Dyn 22:573–582

    Article  Google Scholar 

  46. Calayir Y, Dumanoglu AA (1993) Static and dynamic analysis of fluid and fluid-structure systems by the lagrangian method. Comput Struct 49(4):625–632

    Article  Google Scholar 

  47. Cervera M, Oliver J, Faria R (1995) Seismic evaluation of concrete dams via continuum damage models. Earthq Eng Struct Dyn 24(9):1225–1245

    Article  Google Scholar 

  48. Chavez JW, Fenves GL (1995) Earthquake analysis of concrete gravity dams including base sliding. Earthq Eng Struct Dyn 24:673–686

    Article  Google Scholar 

  49. Leger P, Bhattacharjee SS (1995) Seismic fracture analysis of concrete gravity dams. Can J Civ Eng 22:196–201

    Article  Google Scholar 

  50. Chen BF (1996) Nonlinear hydrodynamic effects on concrete dam. Eng Struct 18(3):201–212

    Article  Google Scholar 

  51. Cervera M, Oliver J, Manzoli O (1996) A rate dependent isotropic damage model for the seismic analysis of concrete dams. Earthq Eng Struct Dyn 25:987–1010

    Article  Google Scholar 

  52. Lee J, Fenves GL (1998) A plastic-damage concrete model for earthquake analysis of dams. Earthq Eng Struct Dyn 27:937–956

    Article  Google Scholar 

  53. Ghaemian M, Ghobarah A (1999) Nonlinear seismic response of concrete gravity dams with dam–reservoir interaction. Eng Struct 21:306–315

    Article  Google Scholar 

  54. Vatani Oskouei A, Dumanoglu AA (2001) Nonlinear dynamic response of concrete gravity dams: cavitation effect. Soil Dyn Earthq Eng 21:99–112

    Article  Google Scholar 

  55. Asteris PG, Tzamtzis AD (2003) Nonlinear seismic response analysis of realistic gravity dam-reservoir systems. Int J Nonlinear Sci Numer Simul 4:329–338

    Article  Google Scholar 

  56. Yuchuan L, Chuhan Z, Yanjie X (2009) Nonlinear seismic analyses of a high gravity dam with and without the presence of reinforcement. Eng Struct 31:2486–2494

    Article  Google Scholar 

  57. Akkose M, Simsek E (2010) Non-linear seismic response of concrete gravity dams to near-fault ground motions including dam-water-sediment-foundation interaction. Appl Math Model 34:3685–3700

    Article  MathSciNet  MATH  Google Scholar 

  58. ShouYan J, Chengbin D, JuWei Y (2011) Effects of shear keys on nonlinear seismic responses of an arch-gravity dam. Sci China Technol Sci 54(1):18–27

    Google Scholar 

  59. Mirzayee M, Khaji N, Ahmadi MT (2011) A hybrid distinct element–boundary element approach for seismic analysis of cracked concrete gravity dam–reservoir systems. Soil Dyn Earthq Eng 31:1347–1356

    Article  Google Scholar 

  60. Omidi O, Valliappan S, Lotfi V (2013) Seismic cracking of concrete gravity dams by plastic–damage model using different damping mechanisms. Finite Elem Anal Des 62:80–97

    Article  MathSciNet  MATH  Google Scholar 

  61. Zhang S, Wang G, Yu X (2013) Seismic cracking analysis of concrete gravity dams with initial cracks using the extended finite element method. Eng Struct 56:528–543

    Article  Google Scholar 

  62. Zhang S et al (2013) The effects of strong motion duration on the dynamic response and accumulated damage of concrete gravity dams. Soil Dyn Earthq Eng 45:112–124

    Article  Google Scholar 

  63. Chakrabarti P, Chopra AK (1973) Hydrodynamic pressures and response of gravity dams to vertical earthquake component. Earthq Eng Struct Dyn 1:325–335

    Article  Google Scholar 

  64. Chakrabarti P, Chopra AK (1973) Earthquake analysis of gravity dams including hydrodynamic interaction. Earthq Eng Struct Dyn 2:143–160

    Article  Google Scholar 

  65. Chopra AK, Chakrabarti P (1981) Earthquake analysis of concrete gravity dams including dam-water-foundation rock interaction. Earthq Eng Struct Dyn 9:363–383

    Article  Google Scholar 

  66. Bouaanani N, Paultre P, Proulx J (2002) Two-dimensional modelling of ice cover effects for the dynamic analysis of concrete gravity dams. Earthq Eng Struct Dyn 31:2083–2102

    Article  Google Scholar 

  67. Mei CC, Foda MA, Tong P (1979) Exact and hybrid-element solutions for the vibration of a thin elastic structure seated on the sea floor. Appl Ocean Res 1(2):79–88

    Article  Google Scholar 

  68. Chopra AK, Gupta AS (1982) Hydrodynamic and foundation interaction effects in frequency response functions for concrete gravity dams. Earthq Eng Struct Dyn 10:89–106

    Article  Google Scholar 

  69. Hanna YG, Humar JL (1982) Boundary element analysis of fluid domain. J Eng Mech Div ASCE 108:436–449

    Article  Google Scholar 

  70. Hall JF, Chopra AK (1982) Hydrodynamic Effects in the dynamic response of concrete gravity dams. Earthq Eng Struct Dyn 10:333–345

    Article  Google Scholar 

  71. Hall JF, Chopra AK (1982) Two-dimensional analysis of concrete gravity and embankment dams including hydrodynamic effects. Earthq Eng Struct Dyn 10:305–332

    Article  Google Scholar 

  72. Fenves G, Chopra AK (1983) Effects of reservoir bottom absorption on earthquake response of concrete gravity dams. Earthq Eng Struct Dyn 11:809–829

    Article  Google Scholar 

  73. Fenves G, Chopra AK (1984) Earthquake analysis of concrete gravity dams including reservoir bottom absorption and dam-water-foundation interaction. Earthq Eng Struct Dyn 12:663–680

    Article  Google Scholar 

  74. Fenves G, Chopra AK (1985) Simplified earthquake analysis of concrete gravity dams: separate hydrodynamic and foundation interaction effects. J Eng Mech Div ASCE 111(6):715–735

    Article  Google Scholar 

  75. Fenves G, Chopra AK (1985) Simplified earthquake analysis of concrete gravity dams: combined hydrodynamic and foundation interaction effects. J Eng Mech Div ASCE 111(6):736–756

    Article  Google Scholar 

  76. Lotfi V, Roesset JM, Tassoulas JL (1987) A technique for the analysis of the response of dams to earthquakes. Earthq Eng Struct Dyn 15:463–490

    Article  Google Scholar 

  77. Humar JL, Jablonski AM (1988) Boundary element reservoir model for seismic analysis of gravity dams. Earthq Eng Struct Dyn 16:1129–1156

    Article  Google Scholar 

  78. Dominguez J, Medina F (1989) Boundary elements for the analysis of the seismic response of dams including dam-water-foundation interaction effects. II. Eng Anal Bound Elem 6(3):158–163

    Article  Google Scholar 

  79. Medina F, Dominguez J (1989) Boundary elements for the analysis of the seismic response of dams including dam-water-foundation interaction effects. I. Eng Anal Bound Elem 6(3):152–157

    Article  Google Scholar 

  80. Bougacha S, Tassoulas JL (1991) Effects of sedimentary material on the response of concrete gravity dams. Earthq Eng Struct Dyn 20:849–858

    Article  Google Scholar 

  81. Bougacha S, Tassoulas JL (1991) Seismic response of concrete gravity dams: I: modeling of sediments. J Eng Mech Div ASCE 117(8):1826–1837

    Article  Google Scholar 

  82. Bougacha S, Tassoulas JL (1991) Seismic response of concrete gravity dams: II: effects of sediments. J Eng Mech Div ASCE 117(8):1839–1850

    Article  Google Scholar 

  83. Valliappan S, Zhao C (1992) Dynamic response of concrete gravity dams including dam-water-foundation interaction. Int J Numer Anal Meth Geomech 16:79–99

    Article  Google Scholar 

  84. Tsai CS, Lee GC, Ketter RL (1992) Solution of the dam-reservoir interaction problem using a combination of FEM, BEM with particular integrals, modal analysis, and substructuring. Eng Anal Bound Elem 9:219–232

    Article  Google Scholar 

  85. Chandrashaker R, Humar JL (1993) Fluid-foundation interaction in the seismic response of gravity dams. Earthq Eng Struct Dyn 22:1067–1084

    Article  Google Scholar 

  86. Zhao C, Xu TP, Valliappan S (1995) Seismic response of concrete gravity dams including water-dam-sediment-foundation interaction. Comput Struct 54(4):705–715

    Article  Google Scholar 

  87. Li X, Romo MP, Aviles L (1996) Finite element analysis of dam-reservoir systems using an exact far boundary condition. Comput Struct 60(5):751–762

    Article  MATH  Google Scholar 

  88. Dominguez J, Gallego R, Japon BR (1997) Effects of porous sediments on seismic response of concrete gravity dams. J Eng Mech Div ASCE 123(4):302–311

    Article  Google Scholar 

  89. Lotfi V, Sharghi MR (2000) Earthquake response of concrete gravity dams by combination of finite element and boundary integral formulations. In: 12th World conference on earthquake engineering 2000: Auckland, New Zealand

  90. Bayraktar A, Akkose M (2005) Influence of base-rock characteristics on the stochastic dynamic response of dam–reservoir–foundation systems. Eng Struct 27:1498–1508

    Article  Google Scholar 

  91. Lotfi V (2005) Significance of rigorous fluid-foundation interaction in dynamic analysis of concrete gravity dams. Struct Eng Mech 21(2):137–150

    Article  Google Scholar 

  92. Fathi A, Lotfi V (2008) Effects of reservoir length on dynamic analysis of concrete gravity dams. In: The 14th World conference on earthquake engineering. Beijing, China

  93. Miquel B, Bouaanani N (2010) Simplified evaluation of the vibration period and seismic response of gravity damwater systems. Eng Struct 32:2488–2505

    Article  Google Scholar 

  94. Keivani A, Lotfi V (2012) An effective method for eigen-problem solution of fluid-structure systems. Comput Methods Civ Eng 3(2):1–14

    Google Scholar 

  95. Lotfi V, Samii A (2012) Frequency domain analysis of concrete gravity dam-reservoir systems by wavenumber approach. In: The 15 world conference on earthquake engineering. Lisbon, Portugal

  96. Perumalswami PR, Kar L (1974) Earthquake behavior of arch dams-reservoir systems. In: 5th world conference on earthquake engineering. Rome, Italy

  97. Kojic SB, Trifunac MB (1991) Earthquake stresses in arch dams: I: theory and antiplane excitation. J Eng Mech Div ASCE 117(3):532–552

    Article  Google Scholar 

  98. Kojic SB, Trifunac MB (1991) Earthquake stresses in arch dams: II: excitation by SV-, P-and Rayleigh waves. J Eng Mech Div ASCE 117(3):553–574

    Article  Google Scholar 

  99. Du X, Zhang Y, Zhang B (2007) Nonlinear seismic response analysis of arch dam-foundation systems- part I dam-foundation rock interaction. Bull Earthq Eng 5:105–119

    Article  Google Scholar 

  100. Du X, Tu J (2007) Nonlinear seismic response analysis of arch dam-foundation systems- part II opening and closing contact joints. Bull Earthq Eng 5:121–133

    Article  Google Scholar 

  101. Tsai CS, Lee G (1987) Arch dam-fluid interactions: By FEM-BEM and substructure concept. Int J Numer Meth Eng 24:2367–2388

    Article  MATH  Google Scholar 

  102. Kniffka KV (1993) Investigation of the Mauvoisin concrete arch dams subjected to maximum credible earthquake. Comput Struct 47:787–800

    Article  Google Scholar 

  103. Chuhan Z, Feng G, Pekau OA (1995) Time-domain procedure of FE-BE-IBE coupling for seismic interaction of arch dams and canyons. Earthq Eng Struct Dyn 24:1651–1666

    Article  Google Scholar 

  104. Noble CR (2002) Seismic analysis of morrow point dam. In: Workshop on non-linear structural analysis of concrete dams and concrete appurtenances to dams. Denver, Colorado

  105. Xiuli D, Wang J (2004) Seismic response analysis of arch dam-water-rock foundation systems. Earthq Eng Eng Vib 3(2):283–291

    Article  Google Scholar 

  106. Akkose M, Dumanoglu AA, Tuna ME (2004) Investigation of hydrodynamic effects on linear and nonlinear earthquake responses of arch dams by the Lagrangian approach. Turk J Civ Eng Environ Sci 28:25–40

    Google Scholar 

  107. Alves SW, Hall JF (2006) Generation of spatially nonuniform ground motion for nonlinear analysis of a concrete arch dam. Earthq Eng Struct Dyn 35:1339–1357

    Article  Google Scholar 

  108. Poursartip B, Lotfi V (2008) Modal analysis of concrete arch dams in time domain including dam-reservoir interaction. In: The 14th world conference on earthquake engineering. Beijing, China

  109. Tarinejad R, Fatehi Someh R, Harichandran RS (2013) Response of an arch dam to non-uniform excitation generated by a seismic wave scattering model. Soil Dyn Earthq Eng 52:40–54

    Article  Google Scholar 

  110. Dowling MJ (1988) Nonlinear seismic analysis of arch dams. California Institute of Technology, Pasadena

    Google Scholar 

  111. O Connor JPF, Boot JC (1988) A solution procedure for the earthqake analysis of arch-dam reservoir systems with compressible water. Earthq Eng Struct Dyn 16:757–773

    Article  Google Scholar 

  112. Mays JR, Roehm LH (1993) Effect of vertical contraction joints in concrete arch dams. Comput Struct 47:615–627

    Article  Google Scholar 

  113. Lan S, Yang J (1997) Nonlinear finite element of arch dam-I. Consti Relationship Adv Eng Softw 28:403–408

    Article  Google Scholar 

  114. Lan S, Yang J (1997) Nonlinear finite element of arch dam-II. Nonlinear Anal Adv Eng Softw 28:409–415

    Article  Google Scholar 

  115. Hall JF (1998) Efficient nonlinear analysis of arch dams. Earthq Eng Struct Dyn 27:1425–1444

    Article  Google Scholar 

  116. Lau DT, Norouziaan B, Razaqpur G (1998) Modeling of contraction joints and shear sliding effects on earthquake response of arch dams. Earthq Eng Struct Dyn 27:1013–1029

    Article  Google Scholar 

  117. Yazdchi M, Khalili N, Valliappan S (1999) Nonlinear-seismic behvaiour of concrete gravity dams using coupled finite element-boundary element technique. Int J Numer Meth Eng 44:101–130

    Article  MATH  Google Scholar 

  118. Camara RJ (2000) A method for coupled arch dam-foundation-reservoir seismic behaviour analysis. Earthq Eng Struct Dyn 29:441–460

    Article  Google Scholar 

  119. Zhang C, Xu Y, Wang G, Jin F (2000) Non-linear seismic response of arch dams with contraction joint opening and joint reinforcements. Earthq Eng Eng Seismol 29:1547–1566

    Google Scholar 

  120. Lotfi V, Espandar R (2002) An investigation of joints behavior in seismic response of arch dams. Electron J Struct Eng 1:17–31

    Article  Google Scholar 

  121. Azmi M, Paultre P (2002) Three-dimensional analysis of concrete dams including contraction joint non-linearity. Eng Struct 24:757–771

    Article  Google Scholar 

  122. Du X, Tu J (2002) Earthquake analysis of arch dam with joints including dam-foundation rock nonlinear dynamic interaction. Adv Build Technol 1:563–570

    Article  Google Scholar 

  123. Liu X, Xu Y, Wang G, Zhang C (2002) Seismic response of arch dams considering infinite radiation damping and joint opening effects. Earthq Eng Eng Vib 1(1):65–73

    Article  Google Scholar 

  124. Espandar R, Lotfi V (2003) Comparison of non-orthogonal smeared crack and plasticity models for dynamic analysis of concrete arch dams. Comput Struct 81:1461–1474

    Article  Google Scholar 

  125. Sekulovic M et al. (2004) Analysis of seismic response of high arch dam on the basis of energy balance. In: 13th world conference on earthquake engineering. Vancouver, B.C., Canada

  126. Lotfi V, Espandar R (2004) Seismic analysis of concrete arch dams by combined discrete crack and non-orthogonal smeared crack technique. Eng Struct 26:27–37

    Article  Google Scholar 

  127. Mirzabozorg H, Ghaemian M (2005) Non-linear behavior of mass concrete in three-dimensional problems using a smeared crack approach. Earthq Eng Struct Dyn 34:247–269

    Article  Google Scholar 

  128. Akkose M, Bayraktar A, Dumanoglu AA (2008) Reservoir water level effects on nonlinear dynamic response of arch dams. J Fluids Struct 24:418–435

    Article  Google Scholar 

  129. Zhao L, Li T, Wang L, Cui Y (2008) Nonlinear seismic analysis of arch dams with contraction joints and dam-water-foundation interaction, in The 14th World Conference on Earthquake Engineering. Beijing, China

  130. Akkose M et al (2008) Elasto-plastic earthquake response of arch dams including fluid–structure interaction by the Lagrangian approach. Appl Math Model 32:2396–2412

    Article  MATH  Google Scholar 

  131. Pan J, Zhang C, Wang J, Xu Y (2009) Seismic damage-cracking analysis of arch dams using different earthquake input mechanisms. Sci China Ser E Technol Sci 52(2):518–529

    Article  Google Scholar 

  132. Zhong H, Gao L, Li H (2009) Numerical simulation of damage in high arch dam due to earthquake. Front Struct Civ Eng 3(3):316–322

    Google Scholar 

  133. Mirzabozorg H, Varmazyari M, Ghaemian M (2010) Dam-reservoir-massed foundation system and travelling wave along reservoir bottom. Soil Dyn Earthq Eng 30:746–756

    Article  Google Scholar 

  134. Kalateh F, Attarnejad R (2011) Finite element simulation of acoustic cavitation in the reservoir and effects on dynamic response of concrete dams. Finite Elem Anal Des 47:543–558

    Article  Google Scholar 

  135. Bayraktar A, Sevim B, Altunisik AC (2011) Finite element model updating effects on nonlinear seismic response of arch dam–reservoir–foundation systems. Finite Elem Anal Design 47:85–97

    Article  Google Scholar 

  136. Zeinizadeh A, Mirzabozorg H (2012) Geometric nonlinearity effect on seismic behavior of high arch dams. J Civ Eng Res 2(1):18–33

    Article  Google Scholar 

  137. Mirzabozorg H, Kordzadeh A, Hariri-Ardebili MA (2012) Seismic response of concrete arch dams including dam-reservoir-foundation interaction using infinite elements. Electron J Struct Eng 12(1):63–73

    Article  Google Scholar 

  138. Mirzabozorg H, Akbari J, Hariri-Ardebili MA (2013) Nonlinear response of a concrete arch dam to spatially varying earthquake ground motions. Asian J Civ Eng 14(6):859–879

    Google Scholar 

  139. Omidi O, Lotfi V (2013) Earthquake response of concrete arch dams: a plastic–damage approach. Earthq Eng Sruct Dyn 42(14):2129–2149

    Google Scholar 

  140. Wang JT et al (2013) Earthquake damage analysis of arch dams considering dam–water–foundation interaction. Soil Dyn Earthq Eng 49:64–74

    Article  Google Scholar 

  141. Hariri-Ardebili MA, Mirzabozorg H, Kianoush MR (2013) Seismic analysis of high arch dams considering contraction-peripheral joints coupled effects. Central Eur J Eng 3(3):549–564

    Google Scholar 

  142. Yang CY, Debessay M, Li WG (1991) Random vibration of simple flexible arch dam reservoir systems from earthquakes. Probab Eng Mech 6(1):18–32

    Article  Google Scholar 

  143. Hollinger F (1983) Time harmonic and nonstationary stochastic vibrations of arch dams reservoir systems. Acta Mech 49:153–167

    Article  MATH  Google Scholar 

  144. Porter CS, Chopra AK (1982) Hydrodynamic effects in dynamic response of simple arch dams. Earthq Eng Struct Dyn 10:417–431

    Article  Google Scholar 

  145. Fok KL, Chopra AK (1986) Earthquake analysis of arch dams including dam-water interaction, reservoir boundary absorption and foundation flexibility. Earthq Eng Struct Dyn 14:155–184

    Article  Google Scholar 

  146. Fok KL, Chopra AK (1986) Frequency response functions for arch dams: hydrodynamic and foundation flexibility effects. Earthq Eng Struct Dyn 14:769–795

    Article  Google Scholar 

  147. Fok KL, Chopra AK (1986) Hydrodynamic and foundation flexibility effects in earthquake response of arch dams. J Struct Eng ASCE 112(8):1810–1828

    Article  Google Scholar 

  148. Fok KL, Chopra AK (1987) Water compressibility in earthquake response of arch dams. J Struct Eng ASCE 113(5):958–975

    Article  Google Scholar 

  149. Nowak PS, Hall JF (1990) Arch dam response to nonuniform seismic input. J Eng Mech Div ASCE 116(1):125–139

    Article  Google Scholar 

  150. Dominguez J, Maeso O (1993) Earthquake analysis of arch dams: I: dam-foundation interaction. J Eng Mech Div ASCE 119(3):496–512

    Article  Google Scholar 

  151. Dominguez J, Maeso O (1993) Earthquake analysis of arch dams: II: dam-water-foundation interaction. J Eng Mech Div ASCE 119(3):513–530

    Article  Google Scholar 

  152. Tan H, Chopra AK (1995) Dam-foundation rock interaction effects in frequency response functions of arch dams. Earthq Eng Struct Dyn 24:1475–1489

    Article  Google Scholar 

  153. Tan H, Chopra AK (1995) Earthquake analysis of arch dams including dam-water-foundation rock interaction. Earthq Eng Struct Dyn 24:1453–1474

    Article  Google Scholar 

  154. Tan H, Chopra AK (1996) Dam-foundation rock interaction effects in earthquake response of arch dams. J Struct Eng ASCE 122(5):528–538

    Article  Google Scholar 

  155. Ohmachi T, Jalali A (1999) Fundamental study on near-field effects on earthquake response of arch dams. Earthq Eng Eng Seismol 1(1):1–11

    Google Scholar 

  156. Zhang C, Yan C, Wang G (2001) Numerical simulation of reservoir sediment and effects on hydro-dynamic response of arch dams. Earthq Eng Struct Dyn 30:1817–1837

    Article  Google Scholar 

  157. Maeso O, Aznarez JJ, Dominguez J (2002) Effects of space distribution of excitation on seismic response of arch dams. J Eng Mech Div ASCE 128:759–768

    Article  Google Scholar 

  158. Lotfi V (2005) Frequency domain analysis of concrete arch dams by decoupled modal approach. Struct Eng Mech 21(4):423–435

    Article  Google Scholar 

  159. Maeso O, Aznarez JJ, Dominguez J (2004) Three-dimensional models of reservoir sediment and effects on the seismic response of arch dams. Earthq Eng Struct Dyn 33:1103–1123

    Article  Google Scholar 

  160. Aznarez JJ, Maeso O, Dominguez J (2006) BE analysis of bottom sediments in dynamic fluid-structure interaction problems. Eng Anal Bound Elem 30:124–136

    Article  MATH  Google Scholar 

  161. Lin G, Du J, Hu Z (2007) Dynamic dam-reservoir interaction analysis including effect of reservoir boundary absorption. Sci China Ser E Technol Sci 50:1–10

    Article  MATH  Google Scholar 

  162. Lin G, Du J, Hu Z (2007) Earthquake analysis of arch and gravity dams including the effects of foundation inhomogeneity. Front Struct Civ Eng 1(1):41–50

    Google Scholar 

  163. Lotfi V (2007) Direct frequency domain analysis of concrete arch dams based on FE-BE procedure. Struct Eng Mech 26(4):363–376

    Article  Google Scholar 

  164. Aftabi Sani A, Lotfi V (2007) Linear dynamic analysis of arch dams utilizing modified efficient fluid hyper-element. Eng Struct 29:2654–2661

    Article  Google Scholar 

  165. Wang JT, Chopra AK (2010) Linear analysis of concrete arch dams including dam–water–foundation rock interaction considering spatially varying ground motions. Earthq Eng Struct Dyn 39:731–750

    Article  Google Scholar 

  166. Aftabi Sani A, Lotfi V (2010) Dynamic analysis of concrete arch dams by ideal-coupled modal approach. Eng Struct 32(5):1377–1383

    Article  Google Scholar 

  167. Aftabi Sani A, Lotfi V (2011) An effective procedure for seismic analysis of arch dams including dam-reservoir-foundation interaction effects. J Earthq Eng 15(7):971–988

    Article  Google Scholar 

  168. Arjmandi SA, Lotfi V (2011) Computing mode shapes of fluid-structure systems using subspace iteration methods. Scientia Iranica A 18(6):1159–1169

    Article  Google Scholar 

  169. Wang JT (2011) Investigation of damping in arch dam-water-foundation rock system of Mauvoisin arch dam. Soil Dyn Earthq Eng 31:33–44

    Article  Google Scholar 

  170. García F, Aznarez JJ, Cifuentes H, Medina F, Maeso O (2014) Influence of reservoir geometry and conditions on the seismic response of arch dams. Soil Dyn Earthq Eng 67:264–272

    Article  Google Scholar 

Download references

Funding

This study was not funded by any company.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Rezaiee-Pajand.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Rezaiee-Pajand, M., Kazemiyan, M.S. & Aftabi Sani, A. A Literature Review on Dynamic Analysis of Concrete Gravity and Arch Dams. Arch Computat Methods Eng 28, 4357–4372 (2021). https://doi.org/10.1007/s11831-021-09564-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11831-021-09564-z

Navigation