非平稳地震动过程中混凝土重力坝受拉失效路径可靠度分析
|
摘要
建立了分析在非平稳地震动过程中重力坝失效路径可靠度的计算方法。首先,说明了指定的失效路径的失效概率与失效路径上的单元的失效概率的关系。其次,使用了虚拟变量代换了所需求得未知变量,简化了使用一次二阶矩法求解梯度的过程。然后,使用了虚拟激励法计算了响应位移的方差,并推导了单元第一主应力的均值与方差的求解公式,从而为上一步的计算提供了参数。最后,提出了一种搜索可靠度最小的失效路径的算法。计算结果表明,该文的方法收敛速度较快,具有很好的实用性。
An improved method is proposed for the analysis of failure path reliability in a concrete gravity dam under non-stationary ground motion processes.Firstly,the relation between failure probability of failure path and elements in failure path was given.Then,the demand variables were replaced by dummy variables in order to simplify the process of solving the gradient in the first-order second-moment method.And the required parameters were obtained through a deducing pseudo excitation method and some other formulas.Finally,an algorithm was proposed to search the minimal reliability failure path.The calculation result shows that this method has high practicability and a fast convergence speed.
An improved method is proposed for the analysis of failure path reliability in a concrete gravity dam under non-stationary ground motion processes.Firstly,the relation between failure probability of failure path and elements in failure path was given.Then,the demand variables were replaced by dummy variables in order to simplify the process of solving the gradient in the first-order second-moment method.And the required parameters were obtained through a deducing pseudo excitation method and some other formulas.Finally,an algorithm was proposed to search the minimal reliability failure path.The calculation result shows that this method has high practicability and a fast convergence speed.
引文
[1]丁阳,张笈玮,李忠献.地震动非平稳性对大跨度空间结构随机地震响应的影响[J].天津大学学报,2008,41(8):984―990.Ding Yang,Zhang Jiwei,Li Zhongxian.Influence of nonstationarity of earthquake ground motion on random seismic response of long-span spatial structures[J].Journal of Tianjin University,2008,41(8):984―990.(in Chinese)
[2]曹晖,林学鹏.地震动非平稳特性对结构非线性响应影响的分析[J].工程力学,2006,23(12):30―35.Cao Hui,Lin Xuepeng.The effect of nonstationary characteristic of earthquake ground motion on the structural nonlinear responses[J].Engineering Mechanics,2006,23(12):30―35.(in Chinese)
[3]林家浩.随机地震响应的确定性算法[J].地震工程与工程振动,1986,5(1):89―93.Lin Jiahao.A deterministic method for the computation of stochastic earthquake response[J].Earthquake Engineering and Engineering Vibration,1986,5(1):89―93.(in Chinese)
[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 Mengfu.Pseudo-excitation method for stationary random responses of non-proportionally damped MDOF systems[J].Chinese Journal of Computational Mechanics,2008,25(1):94―99.(in Chinese)
[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 Mengfu.Use pseudo-excitation method to solve non-stationary random responses of non-proportional damped systems[J].Chinese Quarterly of Mechanics,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 Jianmei,Ye Jihong,Cheng Wenrang.Pseudo-excitation method for response analysis of space cable structures under multiple supports excitation[J].Journal of Vibration and Shock,2005,24(4):107―119.(in Chinese)
[7]龚文俊,刘扬,张建仁.基于虚拟变量法的结构可靠度参数敏感性分析[J].长沙交通学院学报,2006,22(1):12―16.Gong Wenjun,Liu Yang,Zhang Jianren.Parameters sensitivity analysis of structure reliability based on the pseudo variables method[J].Journal of Changsha
[8]Leger P,Lariviere R,Palavicini F,Tinawi R.Performance of gated spillways during the 1996 Sanguinity flood(Que’bec,Canada)and evolution of related design criteria[C].Proceeding of ICOLD 20th Communications University,2006,22(1):12―16.(in Chinese)Congress.Beijing,China,2000,26(1):417―438.
[9]Enrique Castillo,Roberto Minguez,Carmen Castillo.Sensitivity analysis in optimization and reliability problems[J].Reliability Engineering and System Safety,2008,93:1788―1800.
[10]Song Junho,Kang Won-Hee.System reliability and sensitivity under statistical dependence by matrix-based system reliability method[J].Structural Safety,2009,31:148―156.
[11]Van Mier J G M.Fracture of concrete under complex stress[J].Heron,1986,31(3):58.
[2]曹晖,林学鹏.地震动非平稳特性对结构非线性响应影响的分析[J].工程力学,2006,23(12):30―35.Cao Hui,Lin Xuepeng.The effect of nonstationary characteristic of earthquake ground motion on the structural nonlinear responses[J].Engineering Mechanics,2006,23(12):30―35.(in Chinese)
[3]林家浩.随机地震响应的确定性算法[J].地震工程与工程振动,1986,5(1):89―93.Lin Jiahao.A deterministic method for the computation of stochastic earthquake response[J].Earthquake Engineering and Engineering Vibration,1986,5(1):89―93.(in Chinese)
[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 Mengfu.Pseudo-excitation method for stationary random responses of non-proportionally damped MDOF systems[J].Chinese Journal of Computational Mechanics,2008,25(1):94―99.(in Chinese)
[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 Mengfu.Use pseudo-excitation method to solve non-stationary random responses of non-proportional damped systems[J].Chinese Quarterly of Mechanics,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 Jianmei,Ye Jihong,Cheng Wenrang.Pseudo-excitation method for response analysis of space cable structures under multiple supports excitation[J].Journal of Vibration and Shock,2005,24(4):107―119.(in Chinese)
[7]龚文俊,刘扬,张建仁.基于虚拟变量法的结构可靠度参数敏感性分析[J].长沙交通学院学报,2006,22(1):12―16.Gong Wenjun,Liu Yang,Zhang Jianren.Parameters sensitivity analysis of structure reliability based on the pseudo variables method[J].Journal of Changsha
[8]Leger P,Lariviere R,Palavicini F,Tinawi R.Performance of gated spillways during the 1996 Sanguinity flood(Que’bec,Canada)and evolution of related design criteria[C].Proceeding of ICOLD 20th Communications University,2006,22(1):12―16.(in Chinese)Congress.Beijing,China,2000,26(1):417―438.
[9]Enrique Castillo,Roberto Minguez,Carmen Castillo.Sensitivity analysis in optimization and reliability problems[J].Reliability Engineering and System Safety,2008,93:1788―1800.
[10]Song Junho,Kang Won-Hee.System reliability and sensitivity under statistical dependence by matrix-based system reliability method[J].Structural Safety,2009,31:148―156.
[11]Van Mier J G M.Fracture of concrete under complex stress[J].Heron,1986,31(3):58.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心