Damage assessment of a concrete arch dam through nonlinear incremental dynamic analysis

Abstract Damage assessment of concrete arch dams is carried out through nonlinear Incremental Dynamic Analysis (IDA) of a typical arch dam. In this study the Morrow Point arch dam is subjected to a set of 12 three-component earthquakes each scaled to 12 increasing intensity levels. The dam–foundation interaction effects have been investigated by varying foundation's modulus of elasticity to be equal and half of dam concrete's modulus of elasticity. Damage propagation through the dam body is investigated and various IDA curves are created. The performance and various limit-states of the dam structure are examined based on the obtained results. Simple damage indices are proposed through comparison of response demands in earthquake analysis with the determined structural capacities. It was found that the proposed damage indices can properly indicate state of damage in the dam body.

[1]  J. F. Hall,et al.  Generation of spatially nonuniform ground motion for nonlinear analysis of a concrete arch dam , 2006 .

[2]  J. Domínguez,et al.  Effects of Space Distribution of Excitation on Seismic Response of Arch Dams , 2002 .

[3]  Rafael Gallego,et al.  EFFECTS OF POROUS SEDIMENTS ON SEISMIC RESPONSE OF CONCRETE GRAVITY DAMS , 1997 .

[4]  Jagmohan L. Humar,et al.  Finite Element Analysis of Reservoir Vibration , 1983 .

[5]  Hugo Bachmann,et al.  Influence of time‐domain dam–reservoir interaction on cracking of concrete gravity DAMS , 1993 .

[6]  Akira Niwa,et al.  Non-linear seismic response of arch dams , 1982 .

[7]  Shailendra K. Sharan,et al.  Finite Element Modeling of Infinite Reservoirs , 1985 .

[8]  Nasser Khalili,et al.  Seismic analysis of arch dams—a continuum damage mechanics approach , 1999 .

[9]  Anil K. Chopra,et al.  Earthquake response of arch dams to spatially varying ground motion , 2009 .

[10]  George C. Lee,et al.  FAR-FIELD MODELING IN 3D DAM-RESERVOIR INTERACTION ANALYSIS , 1993 .

[11]  John F. Hall,et al.  Problems encountered from the use (or misuse) of Rayleigh damping , 2006 .

[12]  John F. Hall,et al.  Experimental and finite element studies of the forced vibration response of morrow point dam , 1988 .

[13]  Jianbo Li,et al.  Seismic failure modeling of concrete dams considering heterogeneity of concrete , 2011 .

[14]  Anil K. Chopra,et al.  Dynamic Analysis of Arch Dams Including Hydrodynamic Effects , 1983 .

[15]  R. Cámara.  A method for coupled arch dam-foundation-reservoir seismic behaviour analysis , 2000 .

[16]  M. Trifunac,et al.  EARTHQUAKE STRESSES IN ARCH DAMS. II, EXCITATION BY SV-, P-, AND RAYLEIGH WAVES , 1991 .

[17]  John F. Hall,et al.  Efficient non‐linear seismic analysis of arch dams , 1998 .

[18]  Anil K. Chopra,et al.  Dynamics of Structures: Theory and Applications to Earthquake Engineering , 1995 .

[19]  Anil K. Chopra,et al.  Earthquake analysis of arch dams including dam-water-foundation rock interaction , 1995 .

[20]  Anil K. Chopra,et al.  Frequency response functions for arch dams: Hydrodynamic and foundation flexibility effects , 1986 .

[21]  H. Mirzabozorg,et al.  Non‐linear behavior of mass concrete in three‐dimensional problems using a smeared crack approach , 2005 .

[22]  Richard E. Goodman,et al.  Investigations of Blocks in Foundations and Abutments of Concrete Dams , 2003 .

[23]  John L. Tassoulas,et al.  Effects of sedimentary material on the response of concrete gravity dams , 1991 .

[24]  Isam Shahrour,et al.  Analysis of Arch Dams Using Coupled Trial Load and Block Element Methods , 2003 .

[25]  Tatsuo Ohmachi,et al.  A FE–BE method for dynamic analysis of dam–foundation–reservoir systems in the time domain , 1993 .

[26]  Anil K. Chopra,et al.  Earthquake analysis of arch dams including dam–water interaction, reservoir boundary absorption and foundation flexibility , 1986 .

[27]  John F. Hall,et al.  Nonlinear seismic analysis of arch dams , 1989 .

[28]  Alexander H.-D. Cheng.  Effect of Sediment on Earthquake-Induced Reservoir Hydrodynamic Response , 1986 .

[29]  Vahid Lotfi.  Direct frequency domain analysis of concrete arch dams based on FE-BE procedure , 2007 .

[30]  Dimitrios Vamvatsikos,et al.  Applied Incremental Dynamic Analysis , 2004 .

[31]  M. Trifunac,et al.  EARTHQUAKE STRESSES IN ARCH DAMS. I, THEORY AND ANTIPLANE EXCITATION , 1991 .

[32]  Orlando Maeso,et al.  Earthquake Analysis of Arch Dams. I: Dam‐Foundation Interaction , 1993 .

[33]  C. H. Howell,et al.  Analysis of Arch Dams by the Trial Load Method , 1929 .

[34]  P. Skrikerud,et al.  Discrete crack modelling for dynamically loaded, unreinforced concrete structures , 1986 .

[35]  J. F. Hall,et al.  Arch dam response to nonuniform seismic input , 1990 .

[36]  Rui Faria,et al.  Seismic evaluation of concrete dams via continuum damage models , 1995 .

[37]  David T. Lau,et al.  Modelling of contraction joint and shear sliding effects on earthquake response of arch dams , 1998 .

[38]  O. A. Pekau,et al.  CRACKING ANALYSIS OF ARCH DAMS BY 3D BOUNDARY ELEMENT METHOD , 1996 .

[39]  Hasan Mirzabozorg,et al.  Damage mechanics approach and modeling nonuniform cracking within finite elements for safety evaluation of concrete dams in 3D space , 2009 .

[40]  Anil K. Chopra,et al.  DAM-FoUNDATION ROCK INTERACTION EFFECTS IN EARTHQUAKE RESPONSE OF ARCH DAMS , 1996 .

[41]  Faouzi Ghrib,et al.  Nonlinear Behavior of Concrete Dams Using Damage Mechanics , 1995 .

[42]  John F. Hall,et al.  Non‐linear earthquake response of concrete gravity dams part 1: Modelling , 1989 .

[43]  Chuhan Zhang,et al.  Numerical simulation of reservoir sediment and effects on hydro-dynamic response of arch dams , 2001 .

[44]  Anil K. Chopra,et al.  Hydrodynamic and Foundation Flexibility Effects in Earthquake Response of Arch Dams , 1986 .

[45]  R. Tinawi,et al.  An application of damage mechanics for seismic analysis of concrete gravity dams , 1995 .

[46]  Dimitrios Vamvatsikos,et al.  Incremental dynamic analysis , 2002 .

[47]  Luis M. Vargas-Loli,et al.  Effects of concrete cracking on the earthquake response of gravity dams , 1989 .

[48]  Vahid Lotfi,et al.  Seismic analysis of concrete arch dams by combined discrete crack and non-orthogonal smeared crack technique , 2004 .

[49]  Jeeho Lee,et al.  A plastic-damage concrete model for earthquake analysis of dams , 1998 .

[50]  A. C. Singhal,et al.  Dynamic analysis of dams with nonlinear slipjoints , 1998 .

[51]  J. F. Hall.  The dynamic and earthquake behaviour of concrete dams: review of experimental behaviour and observational evidence , 1988 .

[52]  J. L. Humar,et al.  Fluid–foundation interaction in the seismic response of gravity dams , 1993 .

[53]  John F. Hall,et al.  Non‐linear earthquake response of concrete gravity dams part 2: Behaviour , 1989 .

[54]  Juan J. Aznárez,et al.  Three‐dimensional models of reservoir sediment and effects on the seismic response of arch dams , 2004 .

[55]  H. Westergaard.  Water Pressures on Dams During Earthquakes , 1933 .

[56]  Nasser Khalili,et al.  Non‐linear seismic behaviour of concrete gravity dams using coupled finite element–boundary element technique , 1999 .

[57]  H. P. Rossmanith,et al.  SIMULATION OF CRACKING IN LARGE ARCH DAM: PART I , 1989 .

[58]  Miguel Cervera,et al.  A RATE-DEPENDENT ISOTROPIC DAMAGE MODEL FOR THE SEISMIC ANALYSIS OF CONCRETE DAMS , 1996 .

[59]  S. T. Mau,et al.  Arch dam system identification using vibration test data , 1989 .