基于摄动法分析重力坝损伤的概率密度演化过程
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摘要
提出了一种对重力坝进行损伤概率演化过程分析的方法.首先,使用虚拟激励法和Mazars损伤模型分析了初始迭代过程中,在坝体在确定性静力荷载和随机的地震荷载激励下的重力坝损伤因子期望值与方差的计算;然后基于摄动法分析了在其余迭代过程中,重力坝损伤因子的概率密度演化过程.最后,给出了实例分析,并分析了坝体的损伤分布情况以及本文方法的收敛性与稳定性.
The research objective is to design and construct an improved method for damage reliability analysis of concrete gravity dam.Firstly,pseudo excitation method and Mazar damage model was used to analyze how to calculate damage expected value and variance excited by random earthquake loading and deterministic static load in the initial iterative step.Moreover,based on perturbation theory,probability density evolution process was analyzed in other iterative steps.Finally,a test example was given to verify and analyze the convergence and stability of this method.
The research objective is to design and construct an improved method for damage reliability analysis of concrete gravity dam.Firstly,pseudo excitation method and Mazar damage model was used to analyze how to calculate damage expected value and variance excited by random earthquake loading and deterministic static load in the initial iterative step.Moreover,based on perturbation theory,probability density evolution process was analyzed in other iterative steps.Finally,a test example was given to verify and analyze the convergence and stability of this method.
引文
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[9]张义民,王世鹏,刘巧伶,解艳彩.基于最大可能点摄动法的相关系数可靠性灵敏度分析[J].东北大学学报(自然科学版),2008,29(6):874-876.(Zhang Y M,Wang S P,Liu Q L,Xie Y C.MPPPM-based analy-sis of reliability-based sensitivity of correlation coeffi-cients[J].Journal of Northeastern University(Natu-ral Science),2008,29(6):874-876.(in Chinese))
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[12]王亚军,张我华.岩石边坡模糊随机损伤可靠性研究[J].沈阳建筑大学学报(自然科学版),2009,25(3):421-425.(Wang Y J,Zhang W H.Rock slope relia-bility studiesbased on fuzzy stochastic damage theory[J].Journal of Shenyang Jianzhu University(NaturalScience),2009,25(3):421-425.(in Chinese))
[13]王亚军,张我华.龙滩碾压混凝土坝随机损伤力学分析的模糊自适应有限元研究[J].岩石力学与工程学报,2008,27(6):1251-1258.(Wang YJ,Zhang W H.Research on fuzzy self-adapting finite element in sto-chastic damage mechanics analysis for longtan rolled-concrete dam[J].Chinese Journal of Rock Mechanicsand Engineering,2008,27(6):1251-1258.(in Chi-nese))
[14]封伯昊,张立翔,金峰.基于损伤的混凝土大坝可靠度分析[J].工程力学,2005,22(3):46-51.(Feng BH,Zhang L X,Jin F.Reliability analysis of concretedam based on damage concept[J].Engineering Me-chanics,2005,22(3):46-51.(in Chinese))
[15]赵杰,邢丽,马海涛,冯炜.基于Z参数和可靠度的蠕变损伤模型[J].大连理工大学学报,2008,48(6):825-828.(Zhao J,Xing L,Ma H T,Feng W.Creepdamage model based on Z-parameter and confidencelevel[J].Journal of Dalian University of Technology,2008,48(6):825-828.(in Chinese))
[16]Yuan J,Zhou Y,Lu X.Damage classification by prob-abilistic neural networks based on latent componentsfor ti me-varying system[J].Transactions of NanjingUniversity of Aeronautics&Astronautics,2009,26(4):259-267.
[2]Lin J H,Zhang WS,Li J J.Structural responses toarbitrarily coherent stationary randomexcitations[J].Computers&Structures,1994,50(5):629-633.
[3]黄玉盈,向宇,苏海东.求解水下纵向加肋无限长非圆柱壳声辐射问题的一种新的半解析方法[J].固体力学学报,2005,26(1):1-10.(Huang Y Y,Xiang Y,Su H D.A novel semi-analytical method for solvingacoustic radiationfromlongitudinally stiffenedinfinitenon-circular calindrical shells in water[J].Acta Me-chanica Solida Sinica,2005,26(1):1-10.(in Chi-nese))
[4]汪梦甫.非比例阻尼线性体系平稳随机地震响应计算的虚拟激励法[J].计算力学学报,2008,25(1)94-99.(Wang M F.Pseudo excitation method for sta-tionary random responses of non-proportionallydamped MDOF systems[J].Chinese Journal of Com-putational Mechanics,2008;25(1):94-99.(in Chi-nese))
[5]汪梦甫.用虚拟激励法求解非比例阻尼线性体系的非平稳随机地震响应[J].力学季刊,2006,27(4):598-605.(Wang M F.Use pseudo-excitation methodto solve non-stationary randomresponses of non-pro-portional damped systems[J].Chinese Quarterly ofMechanics,2006,27(4):598-605.(in Chinese))
[6]孙建梅,叶继红,程文瀼.多点输入下大跨空间索结构的虚拟激励法[J].振动与冲击,2005,24(4):107-119.(Sun J M,Ye J H,Cheng WR.Pseudo-excita-tion methodfor response analysis of space cable struc-tures under mutiple supports excitation[J].Journal ofVibration and Shock,2005,24(4):107-119.(in Chi-nese))
[7]黄斌.随机参数结构的统计特征对[J].固体力学学报,2005,26(1):121-124.(Huang B.Eigenvalues andeigenvectors of structures with random parameters[J].Acta Mechanica Solida Sinica,2005,26(1):121-124.(in Chinese))
[8]白建方,楼梦麟.基于直接模态摄动法的无阻尼线性随机结构的随机振动研究-随机动力反应分析[J].石家庄铁道学院学报(自然科学版),2009,22(1):1-4.(Bai J F,Lou ML.Study on randomvibration of un-damping linear randomstructure based on direct mo-dal perturbation method-random dynamic response a-nalysis[J].Journal of Shijiazhuang Rail way Institute(Natural Science),2009,22(1):1-4.(in Chinese))
[9]张义民,王世鹏,刘巧伶,解艳彩.基于最大可能点摄动法的相关系数可靠性灵敏度分析[J].东北大学学报(自然科学版),2008,29(6):874-876.(Zhang Y M,Wang S P,Liu Q L,Xie Y C.MPPPM-based analy-sis of reliability-based sensitivity of correlation coeffi-cients[J].Journal of Northeastern University(Natu-ral Science),2008,29(6):874-876.(in Chinese))
[10]Qiu Z P,Elishakoff I.Anti-opti mization structureswith large uncertain but nonrandom parameters viainterval analysis[J].Computer Methods in AppliedMechanics and Engineering,1998,152(3-4):361-372.
[11]黄耀英,吴中如,苏静波.基于区间参数摄动法的三维弹塑性区间有限元探讨[J].计算力学学报,2008,25:6-10.(Huang Y Y,Wu Z R,Su J B.Discuss of3D elastic-plastic problem basedon interval parameterpertubation analysis[J].Chinese Journal of Computa-tional Mechanics,2008,25:6-10.(in Chinese))
[12]王亚军,张我华.岩石边坡模糊随机损伤可靠性研究[J].沈阳建筑大学学报(自然科学版),2009,25(3):421-425.(Wang Y J,Zhang W H.Rock slope relia-bility studiesbased on fuzzy stochastic damage theory[J].Journal of Shenyang Jianzhu University(NaturalScience),2009,25(3):421-425.(in Chinese))
[13]王亚军,张我华.龙滩碾压混凝土坝随机损伤力学分析的模糊自适应有限元研究[J].岩石力学与工程学报,2008,27(6):1251-1258.(Wang YJ,Zhang W H.Research on fuzzy self-adapting finite element in sto-chastic damage mechanics analysis for longtan rolled-concrete dam[J].Chinese Journal of Rock Mechanicsand Engineering,2008,27(6):1251-1258.(in Chi-nese))
[14]封伯昊,张立翔,金峰.基于损伤的混凝土大坝可靠度分析[J].工程力学,2005,22(3):46-51.(Feng BH,Zhang L X,Jin F.Reliability analysis of concretedam based on damage concept[J].Engineering Me-chanics,2005,22(3):46-51.(in Chinese))
[15]赵杰,邢丽,马海涛,冯炜.基于Z参数和可靠度的蠕变损伤模型[J].大连理工大学学报,2008,48(6):825-828.(Zhao J,Xing L,Ma H T,Feng W.Creepdamage model based on Z-parameter and confidencelevel[J].Journal of Dalian University of Technology,2008,48(6):825-828.(in Chinese))
[16]Yuan J,Zhou Y,Lu X.Damage classification by prob-abilistic neural networks based on latent componentsfor ti me-varying system[J].Transactions of NanjingUniversity of Aeronautics&Astronautics,2009,26(4):259-267.
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