System reliability sensitivity analysis method based on sequential compounding method

LIN Xin; TAN Xiao-hui; DONG Xiao-le; DU Lin-feng; ZHA Fu-sheng; XU Long

doi:10.11779/CJGE202201009

Volume 44 Issue 1

Turn off MathJax

Article Contents

Abstract

References

Chinese Journal of Geotechnical Engineering > 2022 > 44(1): 98-106. > DOI: 10.11779/CJGE202201009

LIN Xin, TAN Xiao-hui, DONG Xiao-le, DU Lin-feng, ZHA Fu-sheng, XU Long. System reliability sensitivity analysis method based on sequential compounding method[J]. Chinese Journal of Geotechnical Engineering, 2022, 44(1): 98-106. DOI: 10.11779/CJGE202201009

Citation:

PDF (1523 KB)

System reliability sensitivity analysis method based on sequential compounding method

School of Resources and Environmental Engineering, Hefei University of Technology, Hefei 230009, China

More Information

Received Date: March 11, 2021
Available Online: September 22, 2022

Graphical Abstract

Abstract

Abstract

To analyze the influences of parameter uncertainty on system reliability, a system reliability sensitivity analysis method based on the sequential compounding method (SCMSA) is proposed. The SCMSA makes use of the principle of SCM combination element, and further calculates the equivalent correlation coefficient between the two components and other remaining components in the system on the basis of calculating the reliability and sensitivity of a simple system with two components in parallel or in series, so as to achieve the purpose of combining the two components and simplifying the complex system. The advantage of SCMSA is that it integrates the calculation of the relative sensitivity index into the system reliability analysis, so that the sensitivity analysis can be calculated together as a byproduct of the reliability analysis, and this method can be applied to the system reliability sensitivity analysis of the relative non-normal variables. Finally, a simple numerical example is used to illustrate the calculation process, calculation accuracy and calculation advantage of SCMSA, and it is applied to the sensitivity analysis of a system reliability of semi-gravity retaining wall, indicating that the SCMSA can provide a theoretical basis for the risk analysis and prevention of geotechnical engineering.
- sequential compounding method,
- system reliability,
- sensitivity,
- semi-gravity retaining wall

FullText(HTML)

References (23)

References

[1]	杜永峰, 余钰, 李慧. 重力式挡土墙稳定性的结构体系可靠度分析[J]. 岩土工程学报, 2008, 30(3): 349–353. doi: 10.3321/j.issn:1000-4548.2008.03.007 DU Yong-feng, YU Yu, LI Hui. Analysis of reliability of structural systems for stability of gravity retaining walls[J]. Chinese Journal of Geotechnical Engineering, 2008, 30(3): 349–353. (in Chinese) doi: 10.3321/j.issn:1000-4548.2008.03.007
[2]	WANG Y. Reliability-based design of spread foundations by Monte Carlo simulations[J]. Géotechnique, 2011, 61(8): 677–685. doi: 10.1680/geot.10.P.016
[3]	JOHARI A, RAHMATI H. System reliability analysis of slopes based on the method of slices using sequential compounding method[J]. Computers and Geotechnics, 2019, 114: 103116. doi: 10.1016/j.compgeo.2019.103116
[4]	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. doi: 10.3321/j.issn:1000-4548.2009.07.002 TAN Xiao-hui, WANG Jian-guo, HU Xiao-jun, et al. Fuzzy random finite element reliability analysis of slope stability[J]. Chinese Journal of Geotechnical Engineering, 2009, 31(7): 991–996. (in Chinese) doi: 10.3321/j.issn:1000-4548.2009.07.002
[5]	宛良朋, 许阳, 李建林, 等. 岩体参数敏感性分析对边坡稳定性评价影响研究——以大岗山坝肩边坡为例[J]. 岩土力学, 2016, 37(6): 1737–1744. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201606026.htm WAN Liang-peng, XU Yang, LI Jian-lin, et al. Sensitivity analysis of the effect of rock mass parameters on slope stability evaluation: a case study of abutment slope of Dagangshan[J]. Rock and Soil Mechanics, 2016, 37(6): 1737–1744. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201606026.htm
[6]	CORNELL C A. Bounds on the reliability of structural systems[J]. Journal of the Structural Division, 1967, 93(1): 171–200. doi: 10.1061/JSDEAG.0001577
[7]	DITLEVSEN O. Narrow reliability bounds for structural systems[J]. Journal of Structural Mechanics, 1979, 7(4): 453–472. doi: 10.1080/03601217908905329
[8]	贡金鑫. 工程结构可靠度计算方法[M]. 大连: 大连理工大学出版社, 2003. GONG Jin-xin. Computational Methods for Reliability of Engineering Structures[M]. Dalian: Dalian University of Technology Press, 2003. (in Chinese)
[9]	PANDEY M D. An effective approximation to evaluate multinormal integrals[J]. Structural Safety, 1998, 20(1): 51–67. doi: 10.1016/S0167-4730(97)00023-4
[10]	李典庆, 周创兵, 胡冉. 基于n维等效方法的岩质边坡楔体稳定体系可靠度分析[J]. 岩石力学与工程学报, 2009, 28(7): 1415–1424. doi: 10.3321/j.issn:1000-6915.2009.07.015 LI Dian-qing, ZHOU Chuang-bing, HU Ran. System reliability analysis of rock slope wedge stability based on n-dimensional equivalent method[J]. Chinese Journal of Rock Mechanics and Engineering, 2009, 28(7): 1415–1424. (in Chinese) doi: 10.3321/j.issn:1000-6915.2009.07.015
[11]	KANG W, SONG J. Evaluation of multivariate normal integrals for general systems by sequential compounding[J]. Structural Safety, 2010, 32(1): 35–41. doi: 10.1016/j.strusafe.2009.06.001
[12]	HASOFER A M, LIND N C. Exact and invariant second-moment code format[J]. Journal of the Engineering Mechanics Division, 1974, 100(1): 111–121. doi: 10.1061/JMCEA3.0001848
[13]	MELCHERS R E, AHAMMED M. A fast approximate method for parameter sensitivity estimation in Monte Carlo structural reliability[J]. Computers & Structures, 2004, 82(1): 55–61.
[14]	杨杰. 结构可靠度计算方法及灵敏度分析研究[D]. 大连: 大连理工大学, 2012. YANG Jie. Research on Structure Reliability Calculation Method and Sensitivity Analysis[D]. Dalian: Dalian University of Technology, 2012. (in Chinese)
[15]	宋述芳, 吕震宙. 系统可靠性灵敏度分析方法及其应用研究[J]. 机械强度, 2007, 29(1): 53–57. doi: 10.3321/j.issn:1001-9669.2007.01.011 SONG Shu-fang, LÜ Zhen-zhou. Reliability sensitivity analysis method for structural system and its application[J]. Journal of Mechanical Strength, 2007, 29(1): 53–57. (in Chinese) doi: 10.3321/j.issn:1001-9669.2007.01.011
[16]	SUES R H, CESARE M A. System reliability and sensitivity factors via the MPPSS method[J]. Probabilistic Engineering Mechanics, 2005, 20(2): 148–157. doi: 10.1016/j.probengmech.2005.02.001
[17]	CHUN J, SONG J, PAULINO G H. Parameter sensitivity of system reliability using sequential compounding method[J]. Structural Safety, 2015, 55: 26–36. doi: 10.1016/j.strusafe.2015.02.001
[18]	王笑纷, 吴彰敦. 结构体系可靠度分析中二维标准正态分布函数的近似计算[J]. 水力发电学报, 2005, 24(3): 39–43. https://www.cnki.com.cn/Article/CJFDTOTAL-SFXB200503007.htm WANG Xiao-fen, WU Zhang-dun. An approximation to bi-normal probability distribution function in reliability analysis of structural system[J]. Journal of Hydroelectric Engineering, 2005, 24(3): 3943. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-SFXB200503007.htm
[19]	BIRNBAUM Z W. Effect of linear truncation on a multinormal population[J]. The Annals of Mathematical Statistics, 1950, 21(2): 272–279. doi: 10.1214/aoms/1177729844
[20]	秦权, 林道锦, 梅刚. 结构可靠度随机有限元——理论及工程应用[M]. 北京: 清华大学出版社, 2006. QIN Quan, LIN Dao-jin, MEI Gang. Theory and Application Reliability Stochastic Finite Element Methods[M]. Beijing: Tsinghua University Press, 2006. (in Chinese)
[21]	TAN X H, SHEN M F, JUANG C H, et al. Modified robust geotechnical design approach based on the sensitivity of reliability index[J]. Probabilistic Engineering Mechanics, 2020, 60: 103049. doi: 10.1016/j.probengmech.2020.103049
[22]	谭晓慧. 边坡稳定的非线性有限元可靠度分析方法研究[D]. 合肥: 合肥工业大学, 2007. TAN Xiao-hui. Research on the Method of Nonlinear FEM Reliability Analysis of Slope Stability[D]. Hefei: Hefei University of Technology, 2007. (in Chinese)
[23]	LI D Q, ZHANG L, TANG X S, et al. Bivariate distribution of shear strength parameters using copulas and its impact on geotechnical system reliability[J]. Computers and Geotechnics, 2015, 68: 184–195. doi: 10.1016/j.compgeo.2015.04.002