重力式挡土墙稳定性的结构体系可靠度分析
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摘要
重力式挡土墙结构最主要的失稳模式是倾覆失稳和滑移失稳。为了计算重力式挡土墙稳定性的结构体系失效概率,首先分别建立重力式挡土墙结构抗倾覆稳定性和抗滑移稳定性的功能函数,然后引入结构可靠度分析一次二阶矩法中的验算点法(JC法)分别对两种失效模式进行计算,得出两个相应的可靠度指标。将两种失稳模式视为串联系统,由逐步等效平面法计算结构体系可靠度指标,最后由结构体系可靠度指标计算出该挡土墙稳定性的结构体系失效概率。根据上述方法,利用MATLAB程序计算了某挡土墙,得出了结构体系可靠度指标和结构体系失效概率。
The major unstable modes of gravity retaining walls are overturning and sliding.In order to compute the failure probability of structural systems for stability of gravity retaining walls,firstly,two performance functions against overturning and sliding of gravity retaining walls were established.Then,the first order second moment theory in structural reliability analysis,i.e.,the checking point method(JC method) was introduced to compute the two failure modes respectively,and two corresponding reliability indexes could be obtained.It was assume that the two failure modes formed a serial system and the reliability index of structural systems could be computed by the equivalent plane method.Finally,the failure probability of structural systems for stability of the retaining walls could be computed by the reliability index of structural systems.Taking a practical gravity retaining wall for an example,the reliability index and failure probability of structural systems were computed by MATLAB program.
The major unstable modes of gravity retaining walls are overturning and sliding.In order to compute the failure probability of structural systems for stability of gravity retaining walls,firstly,two performance functions against overturning and sliding of gravity retaining walls were established.Then,the first order second moment theory in structural reliability analysis,i.e.,the checking point method(JC method) was introduced to compute the two failure modes respectively,and two corresponding reliability indexes could be obtained.It was assume that the two failure modes formed a serial system and the reliability index of structural systems could be computed by the equivalent plane method.Finally,the failure probability of structural systems for stability of the retaining walls could be computed by the reliability index of structural systems.Taking a practical gravity retaining wall for an example,the reliability index and failure probability of structural systems were computed by MATLAB program.
引文
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[10]杜永峰,李慧,金德保,等.大震下被动与智能隔震结构动力可靠度对比[J].地震工程与工程振动,2006,26(4):212–219.(DU Yong-feng,LI Hui,JIN De-bao,et al.Comparison of seismic reliability of passive and smart isolated structures under major earthquakes[J].Earthquake Engineering and Engineering Vibration,2006,26(4):212–219.(in Chinese))
[11]赵国藩,金伟良,贡金鑫.结构可靠度理论[M].北京:中国建筑工业出版社,2000.(ZHAO Guo-fan,JIN Wei-liang,GONG Jin-xin.Theory of structural reliability[M].Beijing:China Architecture&Building Press,2000.(in Chinese))
[2]张建仁.挡土墙结构稳定性的可靠度分析[J].中国公路学报,1997,10(3):53–58.(ZHANG Jian-ren.Reliability analysis of stability for retaining wall structure[J].China Journal of Highway and Transport,1997,10(3):53–58.(in Chinese))
[3]王良,刘元雪.重力式挡土墙抗滑移的可靠度分析[J].重庆工商大学学报(自然科学版),2005,22(6):609–611.(WANG Liang,LIU Yuan-xue.Reliability analysis of gravity retaining wall stability against slide[J].Journal of Chongqing Technology and Business University(Natural Science),2005,22(6):609–611.(in Chinese))
[4]蔡阳.重力式挡土墙可靠度研究[D].成都:西南交通大学,2005.(CAI Yang.Research on reliability of gravity retaining wall[D].Chengdu:Southwest Jiaotong University,2005.(in Chinese))
[5]王广月.挡土墙稳定性的模糊可靠度分析[J].山东大学学报(工学版),2003,33(3):346–348.(WANG Guang-yue.Analysis of fuzzy reliability for retaining wall’s stability[J].Journal of Shandong University(Engineering Science),2003,33(3):346–348.(in Chinese))
[6]刘芳,何本贵,高谦.挡土墙模糊可靠性分析[J].岩土工程技术,2005,19(5):217–219.(LIU Fang,HE Ben-gui,GAO Qian.Analysis of fuzzy reliability for retaining wall structure[J].Geotechnical Engineering Techique,2005,19(5):217–219.(in Chinese))
[7]顾慰慈.挡土墙土压力计算[M].北京:中国建材工业出版社,2001.(GU Wei-ci.Earth pressure computation of retaining wall[M].Beijing:China Building Material Industry Publishing House,2001.(in Chinese))
[8]梁波,王家东,葛建军,等.青藏铁路L型挡土墙的土压力实测与分析[J].岩土工程学报,2004,26(5):627–631.(LIANG Bo,WANG Jia-dong,GE Jian-jun,et al.Testing and analysis of earth pressure about L type retaining wall in Qinghai-Tibet Railway[J].Chinese Journal of Geotechnical Engineering,2004,26(5):627–631.(in Chinese))
[9]杜永峰,赵广强,李慧,等.防滑凸榫挡土墙的防滑探讨[J].兰州理工大学学报,2007,33(2):112–115.(DU Yong-feng,ZHAO Guang-qiang,LI Hui,et al.Inquiry of anti-sliding of retaining wall with anti-sliding tenon[J].Journal of Lanzhou University of Technology,2007,33(2):112–115.(in Chinese))
[10]杜永峰,李慧,金德保,等.大震下被动与智能隔震结构动力可靠度对比[J].地震工程与工程振动,2006,26(4):212–219.(DU Yong-feng,LI Hui,JIN De-bao,et al.Comparison of seismic reliability of passive and smart isolated structures under major earthquakes[J].Earthquake Engineering and Engineering Vibration,2006,26(4):212–219.(in Chinese))
[11]赵国藩,金伟良,贡金鑫.结构可靠度理论[M].北京:中国建筑工业出版社,2000.(ZHAO Guo-fan,JIN Wei-liang,GONG Jin-xin.Theory of structural reliability[M].Beijing:China Architecture&Building Press,2000.(in Chinese))
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