Study on Probabilistic Damage Models of RC Beams and Columns

LIU Liu,JI Shuyan,LI Yingmin,LUO Wenwen


 In view of the current calibration problems in a lack of unified calibration method and difficulty to sample expansion, the distribution parameter calibration method for probability damage model and sample expansion method based on Bayesian statistical method were proposed. The typical damage model was considered, and damage indexes of each limit state were calibrated by hysteretic test results of conventional reinforced concrete beam-column components. The impact of the damage model on the performance evaluation was examined from single component damage to overall structural component loss in four RC frame structures with different layers in 8 intensity region. The results show that the sample expansion method proposed can balance the prior information and sampling information, and the calibration process proposed can facilitate the expansion of the following sample. The prominent damage state can be recognized by the calibrated damage models; the displacement damage model is suggested under small and moderate earthquakes as its convenience for computation and the earthquake average losses are basically the same, and the Park-Ang damage model is suggested under rare earthquakes for prudence.



Keywords: damage models  calibration methods  fragility function  Bayesian statistics  performance-based earthquake engineering

Full Text:



STONE W C,TAYLOR A W. Seismic performance of circular bridge columns designed in accordance with AASH -TO/ CALTRANS standards [R]. Gaithersburg,MD:National Institute of Standards and Technology,1993:33—42.

BANON H,IRVINE H M,BIGGS J M. Seismic damage in reinforced concrete frames [J] . Journal of Structural Engineering, 1981,107(9):1713—1729.

GOSAIN N K,BROWN R H,JIRSA J O. Shear requirements for load reversals on RC members [J] . Journal of the Structural Division,ASCE,1977,103(7):1461—1476.

PARK Y,ANG A H S,WEN Y K. Seismic damage analysis of reinforced concrete buildings [J] . Journal of Structural Engineering,1985,111(4):740—757.

KUNNATH S K,REINHORN A,LOBO R. DARC version 3.0: aprogram for the inelastic damage analysis of reinforced concrete structures [R]. Buffalo: National Center for Earthquake Engineering Research,1994:29—30.

BECK J L,PORTER K A,SHAIKHUTDINOV R V,et al. Impact of seismic risk on lifetime property values [R] . Pasadena: California Institute of Technology,2002:Appendix C.

CHEN L Z. Study on performance based seismic damage control of reinforce concrete frame [D] . Shanghai:College of Civil Engineering,Tongji University,2010:41—77.(In Chinese)

CHAI Y H,ROMSTAD K M,BIRD S M. Energy -based linear damage model for high -intensity seismic loading [J] . Journal of Structural Engineering,ASCE,1995,121(5):857—864.

CHEN L Z,JIANG H J,LU X L. Modified Park-Ang damage model for reinforced concrete structures [J] . Journal of Tongji University (Natural Science),2010,38(8):1103—1107.(In Chinese)

LUO W W,LI Y M,HAN J. A modified Park-Ang seismic damage model considering the load path effects [J] . Engineering Mechanics,2014,31(7):112—118.(In Chinese)

LUO W W. Study on seismic damage control -based design methodology for RC frames [D] . Chongqing:College of Civil Engineering,Chongqing University,2015:169—177.(In Chinese)

LU D G,YU X H. Theoretical study of probabilistic seismic risk assessment based on analytical functions of seismic fragility[J] . Journal of Building Structures,2013,34(10):41—48.(In Chinese)


  • There are currently no refbacks.