Abstract
Methodology for the reliability analysis of hydraulic gravity dam is the key technology in current hydropower construction. Reliability analysis for the dynamical dam safety should be divided into two phases: failure mode identification and the calculation of the failure probability. Both of them are studied based on the mathematical statistics and structure reliability theory considering two kinds of uncertainty characters (earthquake variability and material randomness). Firstly, failure mode identification method is established based on the dynamical limit state system and verified through example of Koyna Dam so that the statistical law of progressive failure process in dam body are revealed; Secondly, for the calculation of the failure probability, mathematical model and formula are established according to the characteristics of gravity dam, which include three levels, that is element failure, path failure and system failure. A case study is presented to show the practical application of theoretical method and results of these methods.
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ZHU Jun-song, ZI Jin-jia, LIU Xia. A reliability analysis of antiskid stability between the layers of dengke RCC gravity dam [J]. China Rural Water and Hydropower, 2011 (1): 115–118.
FAN Shu-li, CHEN Jian-yun, FAN Wu-qiang, LI Jing. Reliability analysis of roller compacted concrete gravity dams subjected to earthquake [J]. Chinese Journal of Rock Mechanics and Engineering, 2008, 3(3): 564–571.
XU Qiang, CHEN Jian-yun, LI Jing. Calculation method for system reliability of dam based on Bayes theory [J]. Journal of Dalian University of Technology, 2011 (1): 84–89.
ZHONG H, LIN G, LI X Y, LI J. Seismic failure modeling of concrete dams considering heterogeneity of concrete [J]. Soil Dynamics and Earthquake Engineering, 2011, 31: 1678–1689.
WU Qing-xi, ZHUO Jia-shou. Dynamic reliability analysis of gravity dams using a second-order sequence response surface method [J]. Journal of Vibration Engineering, 2001, 14(2): 224–227.
JIA Chao, ZHANG Qi-hai. Research of the safety effects of level weak plane on RCC gravity dams [J]. Water Power, 2007, 33(9): 23–25.
XU Qiang, CHEN Jian-yun, LI Jing. Concrete gravity dam reliability analysis on tension failure path under non-stationary ground motion processes [J]. Engineering Mechanics, 2011, 28(3): 123–128.
XU Qiang, LI Jing, CHEN Jian-yun. Concrete gravity dam reliability analysis on tension failure path under non-stationary ground motion processes [J]. Engineering Mechanics, 2011, 28(3): 123–128.
ALONSO E. Risk analysis of slopes and its application to slopes in Canadian sensitive clays [J]. Geotechnique, 1976, 26(3): 453–472.
TANG W H, YÜCEMEN M S, ANG A H S. Probability based short term design of slopes [J]. Can Geotech J, 1976, 13(3): 201–215.
CHRISTIAN J T, LADD C C, BAECHER G B. Reliability applied to slope stability analysis [J]. Geotech Eng Div — ASCE, 1994, 120(12): 2180–2207.
GRIFFITHS D V, FENTON G A. Influence of soil strength spatial variability on the stability of an undrained clay slope by finite elements [C]// Slope Stability 2000, Proceedings of GeoDenver 2000. Denvor, USA: 2000: 184–193.
HUSEIN A I, HASSAN W F, ABDULLA F A. Uncertainty and reliability analysis applied to slope stability [J]. Structural Safety, 2000, 22: 161–187.
ALTAREJOS-GARCÍA L, ESCUDER-BUENO I, SERRANO-LOMBILLD A. Methodology for estimating the probability of failure by sliding in concrete gravity dams in the context of risk analysis [J] Structural Safety, 2012, 36: 1–13.
XIONG Tie-hua, CHANG Xiao-lin. Application of 3-D stochastic FEM based on response surface in large structure reliability analysis [J]. Journal of Wuhan University of Hydraulic and Electric Engineering, 2005, 38(1): 125–128.
XU B, LOW B K. Probabilistic stability analysis of embankments based on finite element method [J]. Geotech Geoenviron Eng, 2006, 132(11): 1444–1454.
SMITH M. Influence of uncertainty in the stability analysis of a dam foundation. [J]. Dam Maint Rehabil 2003: 151–158.
BUCHER C G, BOURGUND U. A fast and efficient response surface approach for structural reliability problems [J]. Structural Safety, 1990, 7: 57–66.
RAJASHEKHAR M R, ELLINGWOOD B R. A new look at the response surface approach for reliability [J]. Structural Safety, 1993, 12(3): 205–220.
LIU Y W, FRED MOSES. A sequential response surface method and its application in the reliability analysis of aircraft structural systems [J]. Structural Safety, 1994, 16: 39–46.
LIU Ji, LI Yun. An improved adaptive response surface method for structural reliability analysis [J]. Journal of Central South University, 2012, 19(4): 1148–1154.
KIM S H, NA W S. Response surface method using vector projected sampling points [J]. Structural Safety, 1997, 19(1): 3–19.
LIU Ning, LI Tong-chun, ZHUO Jia-shou. A method for searching the most possible failure mode by on 3-D SFEM [J]. Journal of Hydraulic Engineering, 1996 (3): 36–43.
DITLEVSEN O. Narrow reliability bounds for structural system [J]. Strut Mech, 1979, 4(1): 117–122.
JIA Chao, LIU Ning, CHEN Jin. Slope risk analysis under the earthquake effect [J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(04): 703–707.
LEE J, FENVES G L. A plastic-damage concrete model for earthquake analysis of dams [J]. Earthquake Engineering and Structural Dynamics, 1998: 937–956.
ABAQUS, Inc. ABAQUS/Standard user’s manual [M]. Version 6.10. Providence, RI, 2010.
CERVERA M, OLIVER J, FARIA R. Seismic evaluation of concrete dam via continuum damage Model [J]. Earthquake Engineering and Structural Dynamic, 1995, 24(9): 1225–1245.
MOËS N, BELYTSCHKO T. Extended finite element method for cohesive crack growth [J]. Engineering Fracture Mechanics, 2002 (69): 813–833.
CHOPRA A K, CHAKRABARTI P. The Koyna earthquake and the damage to Koyna dam [J]. Bull Seism Soc Am, 1973, 63(2): 381–397.
HALL J F. The dynamic and earthquake behavior of concrete dams: Review of experimental behavior and observational evidence [J]. Soil Dyn Earthquake Eng, 1988, 7: 58–121.
FARAVELLI L. A response-surface approach for reliability analysis [J]. Eng Mech, ASCE, 1989, 15(12): 2763–2781
BUEHER C G, BOURGUND U. A fast and efficient response surface approach for structural reliability problems [J]. Structural Safety, 1990, 7(1): 57–66.
Earth Scientific Consultants Mecann W Associates. Seismic hazard map for Puerto Rico [R]. Puerto Rico Report Prepared for Seismic Safety Commission Puerto Rico 1994.
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Foundation item: Projects(51021004, 51379141) supported by the Foundation for Innovative Research Groups of the National Natural Science Foundation of China
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Wang, C., Zhang, Sr., Sun, B. et al. Methodology for estimating probability of dynamical system’s failure for concrete gravity dam. J. Cent. South Univ. 21, 775–789 (2014). https://doi.org/10.1007/s11771-014-2001-9
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DOI: https://doi.org/10.1007/s11771-014-2001-9