Citation: | LI Jinping, JIAO Shengjie, CHEN Jianjun, LIU Guoliang, XU Xinxin. Dimension-Reduction Method for Structural Reliability Analysis[J]. Journal of Southwest Jiaotong University, 2014, 27(1): 79-85. doi: 10.3969/j.issn.0258-2724.2014.01.013 |
李伦贵, 高波. 翼墙式隧道洞门可靠性分析[J]. 西南交通大学学报, 2002, 37(5): 496-499. LI Lungui, GAO Bo. Reliability analysis of wing wall tunnel portal[J]. Journal of Southwest Jiaotong University, 2002, 37(5): 496-499.
|
戴鸿哲, 王伟. 结构可靠性分析的拟蒙特卡罗方法[J]. 航空学报, 2009, 30(4): 666-671. DAI Hongzhe, WANG Wei. Quasi-Monte Carlo method for structural reliability analysis[J]. Acta Aeronautica Et Astronautica Sinica, 2009, 30(4): 666-671.
|
ENGELUND S, RACKWITZ R. A benchmark study on importance sampling techniques in structural reliability[J]. Structural Safety, 1993, 12(4): 255-276.
|
NIE J, ELLINGWOOD B R. Directional methods for structural reliability analysis[J]. Structure Safety, 2000, 22(3): 233-249.
|
NIE J, ELLINGWOOD B R. A new directional simulation method for system reliability. Part Ⅰ: application of deterministic point sets[J]. Probabilistic Engineering Mechanics, 2004, 19(4): 425-436.
|
NIEDERREITER H, SPANIER J. Monte Carlo and quasi-Monte Carlo methods[M]. Berlin: Springer, 2000: 44-45.
|
KIM S H, NA S W. Response surface method using vector projected sampling points[J]. Structural Safety, 1997, 19(1): 3-19.
|
GUAN X L, MELCHERS R E. Effect of response surface parameter variation on structural reliability estimates[J]. Structural Safety, 2001, 23(4): 429-444.
|
NAM M D, THANH T C. Approximation of function and its derivatives using radial basis function networks[J]. Applied Mathematical Modelling, 2003, 27(3): 197-220.
|
GOMES H M, AWRUCH A M. Comparison of response surface and neural network with other methods for structural reliability analysis[J]. Structural Safety, 2004, 26(1): 49-67.
|
李洪双, 吕震宙. 结构可靠性分析的支持向量机响应面法[J]. 计算力学学报, 2009, 26(2): 199-203. LI Hongshuang, LV Zhenzhou. A support vector machine response surface method for structural reliability analysis[J]. Chinese Journal of Computational Mechanics, 2009, 26(2): 199-203.
|
PENMETSA R C, GRANDHI R V. Adaptation of fast Fourier transformations to estimate structural failure probability[J]. Finite Elements in Analysis and Design, 2003, 39(5/6): 473-485.
|
陈建兵, 李杰. 基于概率密度演化方法的随机结构可靠度分析[J]. 计算力学学报, 2004, 21(3): 285-290. CHEN Jianbing, LI Jie. Reliability analysis of stochastic structures based on probability density evolution method[J]. Chinese Journal of Computational Mechanics, 2004, 21(3): 285-290.
|
雒卫廷, 陈建军, 张驰江, 等. 随机桁架结构可靠性分析的完全概率方法[J]. 安全与环境学报, 2005, 5(5): 35-38. LUO Weiting, CHEN Jianjun, ZHANG Chijiang, et al. Analysis of reliability of stochastic truss structure based on full-probability[J]. Journal of Safety and Environment, 2005, 5(5): 35-38.
|
王新刚, 张义民, 王宝艳. 涡轮转子随机结构的可靠性研究[J]. 航空动力学报, 2009, 24(6): 1316-1320. WANG Xingang, ZHANG Yimin, WANG Baoyan. Research on reliability of turbo-rotor with random structure[J]. Journal of Aerospace Power, 2009, 24(6): 1316-1320.
|
XU H, RAHMAN S. Decomposition methods for structural reliability analysis[J]. Probabilistic Engineering Mechanics, 2005, 20(3): 239-250.
|
XU H, RAHMAN S. A generalized dimension-reduction method for multi-dimensional integration in stochastic mechanics[J]. International Journal for Numerical Methods in Engineering, 2004, 61(12): 1992-2019.
|
李金平, 陈建军, 黄白, 等. 基于分解法的最大熵随机有限元法[J]. 振动与冲击, 2009, 28(7): 99-104. LI Jinping, CHEN Jianjun, HUANG Bai, et al. Maximum entropy stochastic finite element method based on dimension-reduction method[J]. Journal of Vibration and Shock, 2009, 28(7): 99-104.
|