深厚土层冻结法凿井过程中外层井壁模糊随机可靠性分析
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摘要
针对常规可靠性表征结构稳定性时的不足,分析更加符合深井工况的模糊随机可靠性,给出相应的模糊随机功能函数和模糊随机极限状态方程,并针对可靠性中心点算法进行模糊随机改进。结合深厚冲积层井壁冻结压力和钢筋混凝土井壁极限承载力模糊随机分析,得到深厚冲积层高强钢筋混凝土外层井壁的模糊随机极限状态方程,应用改进后的中心点法推导出外层井壁结构模糊随机可靠性的解析区间,并提出各主要变量对模糊随机可靠性的灵敏度区间模型。工程算例表明:由于综合考虑到各参数的不确定性,获得的模糊随机可靠性相比常规的可靠性总体偏低,其结果更能反映实际工况。此外,模糊随机可靠性首次以区间值表征井筒的可靠程度,较常规可靠性的定值表现方法更具合理性。
Aiming at the shortcomings of the conventional reliability in characterization of structure stability,the fuzzy random reliability was analyzed to evaluate working condition of deep shaft lining. The corresponding fuzzy random functions and fuzzy random limit state equation were provided to improve the center point algorithm of fuzzy random reliability.Combining fuzzy random analysis with shaft freezing pressure and shaft ultimate bearing capacity,the fuzzy random limit state equation was obtained for outer shaft lining structure of high strength reinforced concrete in deep alluvium.Application of the improved center point method deduces the analytical range for the fuzzy random reliability of outer shaft lining structure,and put forward the fuzzy random reliability sensitivity range model of each variable.Engineering example shows for considering the uncertainty of all the parameters comprehensively,the fuzzy random reliability is generally lower than conventional reliability and reflects the actual engineering status better.In addition,the fuzzy random reliability with characterization of interval value is more reasonable than conventional reliability modus of fixed value manifestation.
Aiming at the shortcomings of the conventional reliability in characterization of structure stability,the fuzzy random reliability was analyzed to evaluate working condition of deep shaft lining. The corresponding fuzzy random functions and fuzzy random limit state equation were provided to improve the center point algorithm of fuzzy random reliability.Combining fuzzy random analysis with shaft freezing pressure and shaft ultimate bearing capacity,the fuzzy random limit state equation was obtained for outer shaft lining structure of high strength reinforced concrete in deep alluvium.Application of the improved center point method deduces the analytical range for the fuzzy random reliability of outer shaft lining structure,and put forward the fuzzy random reliability sensitivity range model of each variable.Engineering example shows for considering the uncertainty of all the parameters comprehensively,the fuzzy random reliability is generally lower than conventional reliability and reflects the actual engineering status better.In addition,the fuzzy random reliability with characterization of interval value is more reasonable than conventional reliability modus of fixed value manifestation.
引文
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[12]徐鹏飞,李耀良,徐伟.压入式沉井施工对环境影响的现场监测研究[J].岩土力学,2014,35(4):1084-1094.Xu Pengfei,Li Yaoliang,Xu Wei.Field measurement and analysis of influence of jacked open caisson construction on environments[J].Rock and Soil Mechanics,2014,35(4):1084-1094.
[13]肖尊群,刘宝琛,乔世范,等.重力式挡土墙结构模糊随机可靠性分析[J].中南大学学报,2010,41(4):1522-1527.Xiao Zunqun,Liu Baochen,Qiao Shifan,et al.Analysis of fuzzy reliability for gravity retaining wall structure[J].Journal of Central South University,2010,41(4):1522-1527.
[14]吕玺琳,钱建固,吕龙,等.边坡模糊随机可靠性分析[J].岩土力学,2008,29(12):3437-3442.LüXilin,Qian Jiangu,LüLong,et al.Fuzzy stochastic reliability analysis of slopes[J].Rock and Soil Mechanics,2008,29(12):3437-3442.
[15]舒苏荀,龚文惠,王佳,等.各向异性随机场下的边坡模糊随机可靠度分析[J].岩土工程学报,2015,37(7):1204-1210.Shu Suxun,Gong Wenhui,Wang Jia,et al.Fuzzy-random reliability analysis of slope stability in anisotropic random fields[J].Chinese Journal of Geotechnical Engineering,2015,37(7):1204-1210.
[16]王光远,刘玉彬.结构模糊随机可靠度的实用计算方法[J].地震工程与工程振动,1995,15(3):38-46.Wang Guangyuan,Liu Yubin.Practical calculation method for fuzzy random reliability of structures[J].Earthquake Engineering and Engineering Vibration,1995,15(3):38-46.
[17]李贵.结构模糊可靠度分析的模糊有限元法[D].南宁:广西大学,2004.Li Gui.Fuzzy finite element method of fuzzy reliability analysis of structures[D].Nanning:Guangxi University,2004.
[18]谭晓慧,王建国,胡晓军,等.边坡稳定的模糊随机有限元可靠度分析[J].岩土工程学报,2009,31(7):991-996.Tan Xiaohui,Wang Jianguo,Hu Xiaojun,et al.Fuzzy random finite element reliability analysis of slope stability[J].Chinese Journal of Geotechnical Engineering,2009,31(7):991-996.
[19]姚亚锋,程桦,荣传新,等.基于RBF模糊神经网络模型的深厚冲积层立井冻结压力分析与预测[J].采矿与安全工程学报,2016,33(1):70-77.Yao Yafeng,Cheng Hua,Rong Chuanxin,et al.Analysis and prediction of vertical shaft freezing pressure in deep alluvium based on RBF fuzzy neural network model[J].Journal of Mining&Safety Engineering,2016,33(1):70-77.
[20]姚亚锋,程桦,姚直书,等.深厚冲积层钢筋混凝土井壁结构参数灰色关联分析及模糊综合选优[J].煤矿安全,2015,46(12):184-187.Yao Yafeng,Cheng Hua,Yao Zhishu,et al.Grey correlation analysis on structural parameters and fuzzy comprehensive selection of reinforced concrete shaft lining in deep alluvium[J].Safety in Coal Mines,2015,46(12):184-187.
[21]陈华进.结构模糊随机可靠性及可靠性灵敏度分析方法[D].西安:西安电子科技大学,2011.Chen Huajin.Analysis method of fuzzy-random reliability and sensitivity for structures[D].Xi’an:Xidian University,2011.
[22]王微.高强混凝土构件的可靠度及其灵敏度分析与耐久性设计[D].哈尔滨:哈尔滨工业大学,2008.Wang Wei.Reliability and its sensitivity analysis and durability design of high strength concrete members[D].Harbin:Harbin Institute of Technology,2008.
[23]何红妮,吕震宙.模糊随机可靠性灵敏度分析方法[J].航空学报,2008,29(2):338-346.He Hongni,LüZhenzhou.Sensitivity analysis for fuzzy random reliability[J].Acta Aeronautica et Astronautica Sinica,2008,29(2):338-346.
[24]陈磊,吕震宙,宋述芳.模糊可靠性灵敏度分析的线抽样方法[J].工程力学,2008,25(7):45-51.Chen Lei,LüZhenzhou,Song Shufang.Line sample algorithm for fuzzy reliability sensitivity analysis[J].Engineering Mechanics,2008,25(7):45-51.
[25]Melchers R E,Ahammed M.A fast approximate method for parameter sensitivity estimation in Monte-Carlo structural reliability[J].Computers and Structures,2004,82(1):55-61.
[26]Mellah R,Auvinet G,Masrouri F.Stochastic finite element method applied to non-linear analysis of embankments[J].Probabilistic Engineering Mechanics,2001,15(3):251-259.
[2]Ma W,Chang X X.Analyses of strength and deformation of an artificially frozen soil wall in underground engineering[J].Cold Regions Science and Technology,2002,34(11):11-17.
[3]杨更社,屈永龙,奚家米,等.西部白垩系富水基岩立井冻结压力实测研究[J].采矿与安全工程学报,2014,31(6):983-994.Yang Gengshe,Qu Yonglong,Xi Jiami,et al.In-situ measurement and study of freezing pressure of shaft in western cretaceous waterrich bedrock[J].Journal of Mining&Safety Engineering,2014,31(6):983-994.
[4]刘春.边坡工程中岩石力学参数随机模糊选取研究[J].岩土力学,2004,25(8):1327-1329.Liu Chun.Research on random-fuzzy method for selecting rock parameters in slope engineering[J].Rock and Soil Mechanics,2004,25(8):1327-1329.
[5]姚直书,程桦,荣传新.西部地区深基岩冻结井筒井壁结构设计与优化[J].煤炭学报,2010,35(5):760-764.Yao Zhishu,Cheng Hua,Rong Chuanxin.Shaft lining structural design and optimization of deep freezing bedrock shaft in west area[J].Journal of China Coal Society,2010,35(5):760-764.
[6]荣传新,王秀喜,程桦,等.深厚冲积层高强钢筋混凝土井壁力学特性研究[J].岩石力学与工程学报,2008,27(S):2841-2847.Rong Chuanxin,Wang Xiuxi,Cheng Hua,et al.Research on mechanical characteristics of high-strength concrete shaft lining in deep alluvium[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(S):2841-2847.
[7]Samir A A,Khalid M,Faisal F W.Influence of steel fibers and compression reinforcement on deformation of high-strength concrete beams[J].American Concrete Institute Structural Journal,1997,94(6):611-624
[8]姚直书,程桦,荣传新.深冻结井筒内层钢板高强钢筋混凝土复合井壁试验研究[J].岩石力学与工程学报,2008,27(1):153-160.Yao Zhishu,Cheng Hua,Rong Chuanxin.Experimental study on composite shaft lining of inner steel plate cylinder and high strength reinforced concrete in deep frozen shaft[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(1):153-160.
[9]牛学超,杨仁树,经来旺.高强混凝土在立井井壁中的应用及展望[J].中国矿业,2004,13(11):51-55.Niu Xuechao,Yang Renshu,Jing Laiwang.Application and expectation of high strength concrete in shaft lining[J].China Mining Magazine,2004,13(11):51-55.
[10]任彦龙,杨维好,韩涛.基于不同强度准则的井壁极限承载力研究[J].中国矿业大学学报,2011,40(4):540-543.Ren Yanlong,Yang Weihao,Han Tao.Study of the ultimate bearing capacity of a shaft lining based on different failure criteria[J].Journal of China University of Mining&Technology,2011,40(4):540-543.
[11]韩涛,杨维好,任彦龙,等.钢骨混凝土井壁水平极限承载特性的试验研究[J].采矿与安全工程学报,2011,28(2):181-186.Han Tao,Yang Weihao,Ren Yanlong,et al.Horizontal ultimate bearing capacity of encased steel concrete shaft lining[J].Journal of Mining&Safety Engineering,2011,28(2):181-186.
[12]徐鹏飞,李耀良,徐伟.压入式沉井施工对环境影响的现场监测研究[J].岩土力学,2014,35(4):1084-1094.Xu Pengfei,Li Yaoliang,Xu Wei.Field measurement and analysis of influence of jacked open caisson construction on environments[J].Rock and Soil Mechanics,2014,35(4):1084-1094.
[13]肖尊群,刘宝琛,乔世范,等.重力式挡土墙结构模糊随机可靠性分析[J].中南大学学报,2010,41(4):1522-1527.Xiao Zunqun,Liu Baochen,Qiao Shifan,et al.Analysis of fuzzy reliability for gravity retaining wall structure[J].Journal of Central South University,2010,41(4):1522-1527.
[14]吕玺琳,钱建固,吕龙,等.边坡模糊随机可靠性分析[J].岩土力学,2008,29(12):3437-3442.LüXilin,Qian Jiangu,LüLong,et al.Fuzzy stochastic reliability analysis of slopes[J].Rock and Soil Mechanics,2008,29(12):3437-3442.
[15]舒苏荀,龚文惠,王佳,等.各向异性随机场下的边坡模糊随机可靠度分析[J].岩土工程学报,2015,37(7):1204-1210.Shu Suxun,Gong Wenhui,Wang Jia,et al.Fuzzy-random reliability analysis of slope stability in anisotropic random fields[J].Chinese Journal of Geotechnical Engineering,2015,37(7):1204-1210.
[16]王光远,刘玉彬.结构模糊随机可靠度的实用计算方法[J].地震工程与工程振动,1995,15(3):38-46.Wang Guangyuan,Liu Yubin.Practical calculation method for fuzzy random reliability of structures[J].Earthquake Engineering and Engineering Vibration,1995,15(3):38-46.
[17]李贵.结构模糊可靠度分析的模糊有限元法[D].南宁:广西大学,2004.Li Gui.Fuzzy finite element method of fuzzy reliability analysis of structures[D].Nanning:Guangxi University,2004.
[18]谭晓慧,王建国,胡晓军,等.边坡稳定的模糊随机有限元可靠度分析[J].岩土工程学报,2009,31(7):991-996.Tan Xiaohui,Wang Jianguo,Hu Xiaojun,et al.Fuzzy random finite element reliability analysis of slope stability[J].Chinese Journal of Geotechnical Engineering,2009,31(7):991-996.
[19]姚亚锋,程桦,荣传新,等.基于RBF模糊神经网络模型的深厚冲积层立井冻结压力分析与预测[J].采矿与安全工程学报,2016,33(1):70-77.Yao Yafeng,Cheng Hua,Rong Chuanxin,et al.Analysis and prediction of vertical shaft freezing pressure in deep alluvium based on RBF fuzzy neural network model[J].Journal of Mining&Safety Engineering,2016,33(1):70-77.
[20]姚亚锋,程桦,姚直书,等.深厚冲积层钢筋混凝土井壁结构参数灰色关联分析及模糊综合选优[J].煤矿安全,2015,46(12):184-187.Yao Yafeng,Cheng Hua,Yao Zhishu,et al.Grey correlation analysis on structural parameters and fuzzy comprehensive selection of reinforced concrete shaft lining in deep alluvium[J].Safety in Coal Mines,2015,46(12):184-187.
[21]陈华进.结构模糊随机可靠性及可靠性灵敏度分析方法[D].西安:西安电子科技大学,2011.Chen Huajin.Analysis method of fuzzy-random reliability and sensitivity for structures[D].Xi’an:Xidian University,2011.
[22]王微.高强混凝土构件的可靠度及其灵敏度分析与耐久性设计[D].哈尔滨:哈尔滨工业大学,2008.Wang Wei.Reliability and its sensitivity analysis and durability design of high strength concrete members[D].Harbin:Harbin Institute of Technology,2008.
[23]何红妮,吕震宙.模糊随机可靠性灵敏度分析方法[J].航空学报,2008,29(2):338-346.He Hongni,LüZhenzhou.Sensitivity analysis for fuzzy random reliability[J].Acta Aeronautica et Astronautica Sinica,2008,29(2):338-346.
[24]陈磊,吕震宙,宋述芳.模糊可靠性灵敏度分析的线抽样方法[J].工程力学,2008,25(7):45-51.Chen Lei,LüZhenzhou,Song Shufang.Line sample algorithm for fuzzy reliability sensitivity analysis[J].Engineering Mechanics,2008,25(7):45-51.
[25]Melchers R E,Ahammed M.A fast approximate method for parameter sensitivity estimation in Monte-Carlo structural reliability[J].Computers and Structures,2004,82(1):55-61.
[26]Mellah R,Auvinet G,Masrouri F.Stochastic finite element method applied to non-linear analysis of embankments[J].Probabilistic Engineering Mechanics,2001,15(3):251-259.