桥梁结构时变可靠度计算的新方法
|
摘要
为提高桥梁结构时变可靠度的计算效率,该文提出了新的计算方法。该方法基于结构时变可靠度分析的基本理论,利用Taylor级数展开,将可靠度计算从传统的积分运算形式转换为代数运算的形式,从而简化计算过程,提高计算效率。为了考虑桥梁初始承载力和衰减过程的不确定性,该文基于全概率方法,给出了计算劣化结构时变可靠度的显式公式。通过将该文方法应用于某钢筋混凝土桥梁进行时变可靠度分析,并与MonteCarlo模拟方法进行对比,表明了该文方法的准确性和高效性。
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.
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.
引文
[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.,USDepartment 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)
[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.,USDepartment 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)