Engineering Mechanics ›› 2018, Vol. 35 ›› Issue (11): 86-91.doi: 10.6052/j.issn.1000-4750.2017.09.0667

Previous Articles     Next Articles

NEW METHOD FOR CALCULATION OF TIME-DEPENDENT RELIABILITY OF RC BRIDGES

YE Xin-yi1, WANG Cao2, LI Quan-wang1   

  1. 1. Department of Civil Engineering, Tsinghua University, Beijing 100084, China;
    2. School of Civil Engineering, The University of Sydney, Sydney NSW 2006, Australia
  • Received:2017-09-01 Revised:2018-01-04 Online:2018-11-07 Published:2018-11-07

Abstract: A new method was proposed to improve the calculation efficiency of time-dependent reliability analysis for bridges. Based on the basic theory of structural reliability, the proposed method utilizes the Taylor expansion to simplify the traditional formula in an integration expression as a new formula in an algebraic expression, which essentially improves the calculation efficiency. In order to consider the uncertainties associated with the initial resistance and the degradation process, an explicit formula for time-dependent reliability analysis was also presented using a total probabilistic theorem. The proposed method was applied to the time-dependent reliability analysis of an RC bridge, and the results were compared with that associated with Monte Carlo simulation method to demonstrate the accuracy and high efficiency of the new method.

Key words: bridge engineering, new method, Taylor expansion, time-dependent reliability, deteriorating bridges

CLC Number: 

  • U441+.4
[1] 裴永刚, 谭文辉. 工程结构时变可靠度理论的发展与应用[J]. 工业建筑, 2005, 35(增刊):135-138. Pei Yonggang, Tan Wenhui. Development and application of time dependent reliability theories for engineering structures[J]. Industrial construction, 2005, 35(Suppl):135-138. (in Chinese)
[2] JTG D62-2004, 公路钢筋混凝土及预应力混凝土桥涵设计规范[S]. 北京:人民交通出版社, 2004. JTG D62-2004, Code for design of highway reinforced concrete and prestressed concrete bridges and culverts[S]. Beijing:China Communications Press, 2004. (in Chinese)
[3] 孙晓燕, 潘宏, 王海龙, 等. 大气环境下服役公路梁桥结构时变可靠度分析[J]. 浙江大学学报(工学版), 2012, 46(4):643-649. Sun Xiaoyan, Pan Hong, Wang Hailong, et.al. Time dependent reliability analysis of existing bridges under atmospheric environment[J]. Journal of Zhejiang University (Engineering Science), 2012, 46(4):643-649. (in Chinese)
[4] Zhong J, Gardoni P, Rosowsky D. Stiffness degradation and time to cracking of cover concrete in reinforced concrete structures subject to corrosion[J]. Journal of Engineering Mechanics, 2009, 136(2):209-219.
[5] 李全旺, 李春前, 孙健康. 基于结构可靠性理论的既有桥梁承载能力评估[J]. 工程力学, 2010, 35(增刊Ⅱ):142-151. Li Quanwang, Li Chunqian, Sun Jiankang. Reliabilitybased capacity assessment of existing bridges[J]. Engineering Mechanics, 2010, 35(Suppl Ⅱ):142-151. (in Chinese)
[6] 王草, 李全旺. 考虑非平稳车载过程的在役桥梁时变可靠度分析[J]. 工程力学, 2016, 33(3):18-23. Wang Cao, Li Quanwang. Time-dependent reliability of existing bridges considering non-stationary load process[J]. Engineering Mechanics, 2016, 33(3):18-23. (in Chinese)
[7] 袁阳光, 黄平明, 韩万水, 等. 基于可靠度理论的中小跨径桥梁卡车载重限值研究[J]. 工程力学, 2017, 34(8):161-170. Yuan Yangguang, Huang Pingming, Han Wanshui, et al. Reliability based research on truck-load limitation of medium-small-span bridges[J]. Engineering Mechanics, 2017, 34(8):161-170. (in Chinese)
[8] Mori Y, Ellingwood B R. Reliability-based service-life assessment of aging concrete structures[J]. Journal of Structural Engineering, 1993, 119(5):1600-1621.
[9] Melchers, R. E. Structural reliability analysis and prediction[M]. 2nd ed. Chichester, U.K., Wiley, 1999.
[10] Nowak A S, Collins K R. Reliability of structures[M]. London, CRC Press, 2012.
[11] Akiyama M, Frangopol D M, Yoshida I. Time-dependent reliability analysis of existing RC structures in a marine environment using hazard associated with airborne chlorides[J]. Engineering Structures, 2010, 32(11):3768-3779.
[12] Bhargava K, Mori Y, Ghosh A K. Time-dependent reliability of corrosion-affected RC beams. Part 2:estimation of time-dependent failure probability[J]. Nuclear Engineering and Design, 2011, 241(5):1385-1394.
[13] 张建仁, 秦权. 现有混凝土桥梁的时变可靠度分析[J]. 工程力学, 2005, 22(4):90-95. Zhang Jianren, Qin Quan. Time dependent reliability analysis of existing concrete bridges[J]. Engineering Mechanics, 2005, 22(4):90-95. (in Chinese)
[14] 秦权, 杨小刚. 退化结构时变可靠度分析[J]. 清华大学学报:自然科学版, 2005, 45(6):733-736. Qin Quan, Yang Xiaogang. Time dependent reliability analysis of deteriorating structures[J]. Journal of Tsinghua University (Science and Technology), 2005, 45(6):733-736. (in Chinese)
[15] 王建秀, 秦权. 考虑氯离子侵蚀与混凝土碳化的公路桥梁时变可靠度分析[J]. 工程力学, 2007, 24(7):86-93. Wang Jianxiu, Qin Quan. Analysis of time dependent reliability of RC highway bridges considering chloride attack and concrete carbonation[J]. Engineering Mechanics, 2007, 24(7):86-93. (in Chinese)
[16] Enright M P, Frangopol D M. Condition prediction of deteriorating concrete bridges using Bayesian updating[J]. Journal of Structural Engineering, 1999, 125(10):1118-1125.
[17] Ellingwood B R. Risk-informed condition assessment of civil infrastructure:state of practice and research issues[J]. Structure and Infrastructure Engineering, 2005, 1(1):7-18.
[18] Stewart M G, Val D V. Role of load history in reliability-based decision analysis of aging bridges[J]. Journal of Structural Engineering, 1999, 125(7):776-783.
[19] Faber M H, Val D V, Stewart M G. Proof load testing for bridge assessment and upgrading[J]. Engineering Structures, 2000, 22(12):1677-1689.
[20] Ellingwood B. Development of a probability based load criterion for American National Standard A58:Building code requirements for minimum design loads in buildings and other structures[M]. Washington, D.C., US Department of Commerce, National Bureau of Standards, 1980.
[21] JTG D60-2004, 公路桥涵设计通用规范[S]. 北京:人民交通出版社, 2004. JTG D60-2004, General code for design of highway bridges and culverts[S]. Beijing:China Communications Press, 2004. (in Chinese)
[22] JTG/T J21-2011, 公路桥梁承载能力检测评定规程[S]. 北京:人民交通出版社, 2011. JTG/T J21-2011, Specification for Inspection and Evaluation of Loading-bearing Capacity of Highway Bridges[S]. Beijing:China Communications Press, 2011. (in Chinese)
[23] 李植淮, 李春前, 孙健康, 等. 基于GPD模型的车辆荷载效应极值估计[J]. 工程力学, 2012, 29(增刊I):166-171. Li Zhihuai, Li Chunqian, Sun Jiankang, et al. Estimation of extreme vehicle load effect based on GPD model[J]. Engineering Mechanics, 2012, 29(Suppl I):166-171. (in Chinese)
[1] YUE Zi-xiang, WEN Qing-jie, ZHUO Tao. Stability analysis of half-through truss bridge [J]. Engineering Mechanics, 2018, 35(S1): 270-277.
[2] ZHONG Ming. An in-situ evaluation method for cumulative damage of structural concrete [J]. Engineering Mechanics, 2018, 35(S1): 278-286.
[3] YANG Jie, MA Meng-fan, WANG Xu. Conditional probability method for dynamic reliability calculation of random structures [J]. Engineering Mechanics, 2018, 35(S1): 17-21.
[4] LI Hong-nan, CHENG Hu, WANG Dong-sheng. A REVIEW OF ADVANCES IN SEISMIC FRAGILITY RESEARCH ON BRIDGE STRUCTURES [J]. Engineering Mechanics, 2018, 35(9): 1-16.
[5] ZHANG Jian-ren, XIAO Lin-fa, PENG Jian-xin, TANG Huang. EXPERIMENTAL STUDY AND NUMERICAL ANALYSIS OF CORRODED RC BEAMS STRENGTHENED WITH U-SHAPED PLATE [J]. Engineering Mechanics, 2018, 35(8): 111-121.
[6] SHA Ben, WANG Hao, TAO Tian-you, WU Yi-feng, LI Ai-qun. ANALYSIS ON POUNDING RESPONSE OF ISOLATED CONTINUOUS GIRDER BRIDGE CONSIDERING CONCRETE DAMAGE [J]. Engineering Mechanics, 2018, 35(3): 193-199.
[7] SONG Shuai, QIAN Yong-jiu, QIAN Cong. RESEARCH ON METHODS FOR IMPORTANCE ANALYSIS OF RANDOM PARAMETER IN BRIDGE SEISMIC DEMAND [J]. Engineering Mechanics, 2018, 35(3): 106-114.
[8] WEN Ying, TAO Rui. AN EXPLICIT TIME-DOMAIN INTEGRATION SCHEME FOR SOLVING EQUATIONS OF MOTION IN STRUCTURAL DYNAMICS BASED ON A TRUNCATED TAYLOR EXPANSION OF ACCELERATION [J]. Engineering Mechanics, 2018, 35(11): 26-34.
[9] GENG Shao-bo, LIU Ya-ling, XUE Jian-ying. EXPERIMENTAL STUDIES ON STEEL BOX GIRDER SCALE MODEL UNDER BLAST LOAD [J]. Engineering Mechanics, 2017, 34(增刊): 84-88.
[10] DONG Xu, DENG Zhen-quan, LI Shu-chen, GU Shou-fa, ZHANG Feng. RESEARCH ON SUN LIGHT TEMPERATURE FIELD AND THERMAL DIFFERENCE EFFECT OF LONG SPAN BOX GIRDER BRIDGE WITH CORRUGATED STEEL WEBS [J]. Engineering Mechanics, 2017, 34(9): 230-238.
[11] YUAN Yang-guang, HUANG Ping-ming, HAN Wan-shui, LI Yong-qing, ZHAO Shi-liang, LIU Huan-ju. RELIABILITY BASED RESEARCH ON TRUCK-LOAD LIMITATION OF MEDIUM-SMALL-SPAN BRIDGES [J]. Engineering Mechanics, 2017, 34(8): 161-170.
[12] ZHAO Qiu, CAI Wen-ping, CHEN Bao-chun. SHEAR-TEST RESEARCH ON SMOOTH-PLATE SHEAR-FORCE CONNECTOR OF STEEL AND RPC COMPOSITE DECK [J]. Engineering Mechanics, 2017, 34(8): 171-179.
[13] TI Zi-long, LI Yong-le, LIAO Hai-li. EFFECT OF GROUND SURFACE ROUGHNESS ON WIND FIELD OVER BRIDGE SITE WITH A GORGE IN MOUNTAINOUS AREA [J]. Engineering Mechanics, 2017, 34(6): 73-81.
[14] XU Xin-yu, LI Yong-le, LIAO Hai-li, REN Sen. FLUTTER OPTIMIZATION OF A DOUBLE-DECK TRUSS-STIFFENED GIRDER THREE-TOWER SUSPENSION BRIDGE BY WIND TUNNEL TESTS [J]. Engineering Mechanics, 2017, 34(5): 142-147.
[15] MA Ya-fei, WANG Lei, ZHANG Jian-ren. EXPERIMENTAL AND NUMERICAL STUDIES ON REINFORCED CONCRETE ARCH RIBS WITH CORROSION-INDUCED CRACKS [J]. Engineering Mechanics, 2017, 34(3): 155-161.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] XIAO Ying-xiong;;ZHOU Zhi-yang;SHU Shi. ALGEBRAIC MULTIGRID METHODS FOR 3D LINEAR ELASTICITY PROBLEMS ON SOME TYPICAL MESHES[J]. Engineering Mechanics, 2011, 28(6): 11 -018 .
[2] JU Wei;CEN Song;FU Xiang-rong;LONG Yu-qiu. ANALYSIS OF BOUNDARY EFFECT PHENOMENON IN THICK PLATES USING HAMILTONIAN APPROACH[J]. Engineering Mechanics, 2008, 25(2): 0 -008 .
[3] LIU Chun-mei, XIAO Ying-xiong, SHU Shi, ZHONG Liu-qiang. ADAPTIVE FINITE ELEMENT METHOD AND LOCAL MULTIGRID METHOD FOR ELASTICITY PROBLEMS[J]. Engineering Mechanics, 2012, 29(9): 60 -67,91 .
[4] CHENG Yong-feng, ZHU Zhao-qing, LU Zhi-cheng, ZHANG Fu-you. THE DYNAMIC RESPONSE OF A SIMPLY SUPPORTED VISCOUSLY DAMPED BEAM SYSTEM UNDER A MOVING HARMONIC OSCILLATOR[J]. Engineering Mechanics, 2018, 35(7): 18 -23 .
[5] . STUDY ON EXPERIMENTAL METHODOLOGY OF EQUIPMENT–STRUCTURE–SOIL INTERACTION SYSTEM UTILIZING SHAKING TABLE REAL-TIME SUBSTRUCTURE EXPERIMENT[J]. Engineering Mechanics, 0, (): 0 .
[6] YUAN Quan, YUAN Si, LI Yi, YAN Wei-ming, XING Qin-yan. PROOF OF ADAPTIVE TIME-STEP SIZE FORMULA BASED ON MAXIMUM NORM IN TIME INTEGRATION OF LINEAR ELEMENTS[J]. Engineering Mechanics, 2018, 35(8): 9 -13 .
[7] DING Jie, ZOU Yun, CAI Xin, LI Tian-qi, ZHENG Li-jun, ZHAO Tao-gan. Experimental study on exterior joint of damage control steel frame[J]. Engineering Mechanics, 2018, 35(S1): 107 -112 .
[8] ZHENG Xin, LIU Yu-bin, CHEN Pu, SHEN Feng, ZHANG Sheng-jun, FU Xiang-rong. Two-dimensional wing flutter frequency calculation method based on bending torsion coupling theory[J]. Engineering Mechanics, 2018, 35(S1): 1 -5,12 .
[9] JIA Hong-yu, DU Xiu-li, LI Lan-ping, HUANG Sheng-qian, ZHENG Shi-xiong. PROBABILITY ANALYSIS OF POUNDING SEPARATION DISTANCE OF BRIDGES SUBJECTED TO EARTHQUAKE EXCITATIONS[J]. Engineering Mechanics, 2018, 35(8): 39 -45 .
[10] BA Zhen-ning, PENG Lin, LIANG Jian-wen, HUANG Di-yang. SCATTER AND DIFFRACTION OF ARBITRARY NUMBER OF HILLS FOR INCIDENT PLANE P-WAVES[J]. Engineering Mechanics, 2018, 35(7): 7 -17,23 .