Jia, Da-Wei; Wu, Zi-Yan A Laplace asymptotic integral-based reliability analysis method combined with artificial neural network. (English) Zbl 1505.90048 Appl. Math. Modelling 105, 406-422 (2022). MSC: 90B25 62N05 60E10 68T07 PDF BibTeX XML Cite \textit{D.-W. Jia} and \textit{Z.-Y. Wu}, Appl. Math. Modelling 105, 406--422 (2022; Zbl 1505.90048) Full Text: DOI OpenURL
Tong, Shanyin; Subramanyam, Anirudh; Rao, Vishwas Optimization under rare chance constraints. (English) Zbl 1493.90116 SIAM J. Optim. 32, No. 2, 930-958 (2022). MSC: 90C15 60F10 65K05 PDF BibTeX XML Cite \textit{S. Tong} et al., SIAM J. Optim. 32, No. 2, 930--958 (2022; Zbl 1493.90116) Full Text: DOI arXiv OpenURL
Mi, D.; Zhang, W.; Li, J. W.; Jiang, C. A copula-function-based structural system reliability analysis method. (English) Zbl 07531643 Acta Mech. 233, No. 4, 1371-1391 (2022). MSC: 62Hxx 74-XX 65Cxx PDF BibTeX XML Cite \textit{D. Mi} et al., Acta Mech. 233, No. 4, 1371--1391 (2022; Zbl 07531643) Full Text: DOI OpenURL
Qiao, Xinzhou; Wang, Bing; Fang, Xiurong; Liu, Peng Non-probabilistic reliability bounds for series structural systems. (English) Zbl 07446705 Int. J. Comput. Methods 18, No. 9, Article ID 2150038, 33 p. (2021). MSC: 74-XX 62-XX PDF BibTeX XML Cite \textit{X. Qiao} et al., Int. J. Comput. Methods 18, No. 9, Article ID 2150038, 33 p. (2021; Zbl 07446705) Full Text: DOI OpenURL
Rashki, Mohsen The soft Monte Carlo method. (English) Zbl 1481.65014 Appl. Math. Modelling 94, 558-575 (2021). MSC: 65C05 PDF BibTeX XML Cite \textit{M. Rashki}, Appl. Math. Modelling 94, 558--575 (2021; Zbl 1481.65014) Full Text: DOI OpenURL
Wang, Yutian; Hao, Peng; Yang, Hao; Wang, Bo; Gao, Qiang A confidence-based reliability optimization with single loop strategy and second-order reliability method. (English) Zbl 1506.74252 Comput. Methods Appl. Mech. Eng. 372, Article ID 113436, 21 p. (2020). MSC: 74P05 74S60 PDF BibTeX XML Cite \textit{Y. Wang} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113436, 21 p. (2020; Zbl 1506.74252) Full Text: DOI OpenURL
Ghalehnovi, Mansour; Rashki, Mohsen; Ameryan, Ala First order control variates algorithm for reliability analysis of engineering structures. (English) Zbl 1443.74257 Appl. Math. Modelling 77, Part 1, 829-847 (2020). MSC: 74R99 62N05 90B25 PDF BibTeX XML Cite \textit{M. Ghalehnovi} et al., Appl. Math. Modelling 77, Part 1, 829--847 (2020; Zbl 1443.74257) Full Text: DOI OpenURL
Hu, Zhangli; Du, Xiaoping Efficient reliability-based design with second order approximations. (English) Zbl 07636716 Eng. Optim. 51, No. 1, 101-119 (2019). MSC: 90-XX PDF BibTeX XML Cite \textit{Z. Hu} and \textit{X. Du}, Eng. Optim. 51, No. 1, 101--119 (2019; Zbl 07636716) Full Text: DOI OpenURL
Wang, Xiaojun; Shi, Qinghe; Fan, Weichao; Wang, Ruixing; Wang, Lei Comparison of the reliability-based and safety factor methods for structural design. (English) Zbl 1481.90147 Appl. Math. Modelling 72, 68-84 (2019). MSC: 90B25 74P10 PDF BibTeX XML Cite \textit{X. Wang} et al., Appl. Math. Modelling 72, 68--84 (2019; Zbl 1481.90147) Full Text: DOI Link OpenURL
Morse, Llewellyn; Sharif Khodaei, Zahra; Aliabadi, M. H. A multi-fidelity boundary element method for structural reliability analysis with higher-order sensitivities. (English) Zbl 1464.74300 Eng. Anal. Bound. Elem. 104, 183-196 (2019). MSC: 74S15 65N38 74S10 PDF BibTeX XML Cite \textit{L. Morse} et al., Eng. Anal. Bound. Elem. 104, 183--196 (2019; Zbl 1464.74300) Full Text: DOI Link OpenURL
Meng, Zeng; Yang, Dixiong; Zhou, Huanlin; Yu, Bo An accurate and efficient reliability-based design optimization using the second order reliability method and improved stability transformation method. (English) Zbl 07636627 Eng. Optim. 50, No. 5, 749-765 (2018). MSC: 90-XX PDF BibTeX XML Cite \textit{Z. Meng} et al., Eng. Optim. 50, No. 5, 749--765 (2018; Zbl 07636627) Full Text: DOI OpenURL
Meng, Zeng; Zhou, Huanlin; Hu, Hao; Keshtegar, Behrooz Enhanced sequential approximate programming using second order reliability method for accurate and efficient structural reliability-based design optimization. (English) Zbl 1461.74071 Appl. Math. Modelling 62, 562-579 (2018). MSC: 74P15 74S99 90B25 90C90 PDF BibTeX XML Cite \textit{Z. Meng} et al., Appl. Math. Modelling 62, 562--579 (2018; Zbl 1461.74071) Full Text: DOI OpenURL
Zhou, X.-Y.; Gosling, P. D.; Ullah, Z.; Kaczmarczyk, L.; Pearce, C. J. Stochastic multi-scale finite element based reliability analysis for laminated composite structures. (English) Zbl 1446.74068 Appl. Math. Modelling 45, 457-473 (2017). MSC: 74-10 74S05 PDF BibTeX XML Cite \textit{X. Y. Zhou} et al., Appl. Math. Modelling 45, 457--473 (2017; Zbl 1446.74068) Full Text: DOI OpenURL
Meng, Zeng; Zhou, Huanlin; Li, Gang; Hu, Hao A hybrid sequential approximate programming method for second-order reliability-based design optimization approach. (English) Zbl 1401.74230 Acta Mech. 228, No. 5, 1965-1978 (2017). MSC: 74P05 90B25 90C59 PDF BibTeX XML Cite \textit{Z. Meng} et al., Acta Mech. 228, No. 5, 1965--1978 (2017; Zbl 1401.74230) Full Text: DOI OpenURL
Choi, Chan Kyu; Batou, Anas; Yoo, Hong Hee Reliability design of multibody systems using sample-based extreme value theory. (English) Zbl 1425.70011 Multibody Syst. Dyn. 37, No. 4, 413-440 (2016). MSC: 70E55 PDF BibTeX XML Cite \textit{C. K. Choi} et al., Multibody Syst. Dyn. 37, No. 4, 413--440 (2016; Zbl 1425.70011) Full Text: DOI OpenURL
Straub, Daniel; Papaioannou, Iason; Betz, Wolfgang Bayesian analysis of rare events. (English) Zbl 1349.62083 J. Comput. Phys. 314, 538-556 (2016). MSC: 62F15 62N99 62G32 PDF BibTeX XML Cite \textit{D. Straub} et al., J. Comput. Phys. 314, 538--556 (2016; Zbl 1349.62083) Full Text: DOI OpenURL
Lim, Jongmin; Lee, Byungchai; Lee, Ikjin Second-order reliability method-based inverse reliability analysis using Hessian update for accurate and efficient reliability-based design optimization. (English) Zbl 1352.74229 Int. J. Numer. Methods Eng. 100, No. 10, 773-792 (2014). MSC: 74P10 90B25 PDF BibTeX XML Cite \textit{J. Lim} et al., Int. J. Numer. Methods Eng. 100, No. 10, 773--792 (2014; Zbl 1352.74229) Full Text: DOI OpenURL
Jiang, C.; Han, X.; Lu, G. Y. A hybrid reliability model for structures with truncated probability distributions. (English) Zbl 1356.90047 Acta Mech. 223, No. 9, 2021-2038 (2012). MSC: 90B25 PDF BibTeX XML Cite \textit{C. Jiang} et al., Acta Mech. 223, No. 9, 2021--2038 (2012; Zbl 1356.90047) Full Text: DOI OpenURL
Hu, Chao; Youn, Byeng D. Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems. (English) Zbl 1274.74271 Struct. Multidiscip. Optim. 43, No. 3, 419-442 (2011). MSC: 74P10 90B25 65P20 PDF BibTeX XML Cite \textit{C. Hu} and \textit{B. D. Youn}, Struct. Multidiscip. Optim. 43, No. 3, 419--442 (2011; Zbl 1274.74271) Full Text: DOI OpenURL
Lee, Ikjin; Choi, K. K.; Gorsich, David Sensitivity analyses of FORM-based and DRM-based performance measure approach (PMA) for reliability-based design optimization (RBDO). (English) Zbl 1183.74212 Int. J. Numer. Methods Eng. 82, No. 1, 26-46 (2010). MSC: 74P10 74S30 PDF BibTeX XML Cite \textit{I. Lee} et al., Int. J. Numer. Methods Eng. 82, No. 1, 26--46 (2010; Zbl 1183.74212) Full Text: DOI OpenURL
Chowdhury, Rajib; Rao, B. N. Hybrid high dimensional model representation for reliability analysis. (English) Zbl 1229.74123 Comput. Methods Appl. Mech. Eng. 198, No. 5-8, 753-765 (2009). MSC: 74R99 74S60 62N05 PDF BibTeX XML Cite \textit{R. Chowdhury} and \textit{B. N. Rao}, Comput. Methods Appl. Mech. Eng. 198, No. 5--8, 753--765 (2009; Zbl 1229.74123) Full Text: DOI OpenURL
Bhattacharya, Baidurya; Lu, Qiang; Zhong, Jinquan Reliability of redundant ductile structures with uncertain system failure criteria. (English) Zbl 1182.90030 Sādhanā 34, No. 6, 903-921 (2009). MSC: 90B25 PDF BibTeX XML Cite \textit{B. Bhattacharya} et al., Sādhanā 34, No. 6, 903--921 (2009; Zbl 1182.90030) Full Text: DOI Link OpenURL
Chowdhury, Rajib; Rao, B. N.; Prasad, A. Meher High-dimensional model representation for structural reliability analysis. (English) Zbl 1169.74040 Commun. Numer. Methods Eng. 25, No. 4, 301-337 (2009). MSC: 74R99 74E35 74H50 74S30 PDF BibTeX XML Cite \textit{R. Chowdhury} et al., Commun. Numer. Methods Eng. 25, No. 4, 301--337 (2009; Zbl 1169.74040) Full Text: DOI OpenURL
Rao, B. N.; Chowdhury, Rajib Enhanced high-dimensional model representation for reliability analysis. (English) Zbl 1156.74371 Int. J. Numer. Methods Eng. 77, No. 5, 719-750 (2009). MSC: 74R99 74K99 62N05 62N02 PDF BibTeX XML Cite \textit{B. N. Rao} and \textit{R. Chowdhury}, Int. J. Numer. Methods Eng. 77, No. 5, 719--750 (2009; Zbl 1156.74371) Full Text: DOI OpenURL
Lee, Ikjin; Choi, K. K.; Du, Liu; Gorsich, David Inverse analysis method using MPP-based dimension reduction for reliability-based design optimization of nonlinear and multi-dimensional systems. (English) Zbl 1194.74250 Comput. Methods Appl. Mech. Eng. 198, No. 1, 14-27 (2008). MSC: 74P10 74S60 PDF BibTeX XML Cite \textit{I. Lee} et al., Comput. Methods Appl. Mech. Eng. 198, No. 1, 14--27 (2008; Zbl 1194.74250) Full Text: DOI OpenURL
Rao, B. N.; Ashokkumar, Rajesh Effect of blow-holes on reliability of cast component. (English) Zbl 1398.74488 Sādhanā 33, No. 6, 733-751 (2008). MSC: 74S60 74R99 PDF BibTeX XML Cite \textit{B. N. Rao} and \textit{R. Ashokkumar}, Sādhanā 33, No. 6, 733--751 (2008; Zbl 1398.74488) Full Text: DOI Link OpenURL
Shaker, Afeefa; Abdelrahman, Wael G.; Tawfik, Mohammad; Sadek, Edward Stochastic finite element analysis of the free vibration of laminated composite plates. (English) Zbl 1162.74376 Comput. Mech. 41, No. 4, 493-501 (2008). MSC: 74H45 74K20 74E35 74E30 74S05 PDF BibTeX XML Cite \textit{A. Shaker} et al., Comput. Mech. 41, No. 4, 493--501 (2008; Zbl 1162.74376) Full Text: DOI OpenURL
Grandhi, Ramana V.; Wang, Liping Higher-order failure probability calculation using nonlinear approximations. (English) Zbl 0955.74058 Comput. Methods Appl. Mech. Eng. 168, No. 1-4, 185-206 (1999). MSC: 74R99 62N05 PDF BibTeX XML Cite \textit{R. V. Grandhi} and \textit{L. Wang}, Comput. Methods Appl. Mech. Eng. 168, No. 1--4, 185--206 (1999; Zbl 0955.74058) Full Text: DOI OpenURL
Castillo, Enrique; Solares, Cristina; Gómez, Patricia Tail uncertainty analysis in complex systems. (English) Zbl 0983.68008 Artif. Intell. 96, No. 2, 395-419 (1997). MSC: 68M15 PDF BibTeX XML Cite \textit{E. Castillo} et al., Artif. Intell. 96, No. 2, 395--419 (1997; Zbl 0983.68008) Full Text: DOI OpenURL
Kuschel, Norbert; Rackwitz, Rüdiger Two basic problems in reliability-based structural optimization. (English) Zbl 0896.90106 Math. Methods Oper. Res. 46, No. 3, 309-333 (1997). MSC: 90B25 74P99 90C90 PDF BibTeX XML Cite \textit{N. Kuschel} and \textit{R. Rackwitz}, Math. Methods Oper. Res. 46, No. 3, 309--333 (1997; Zbl 0896.90106) Full Text: DOI OpenURL
Breitung, K.; Hohenbichler, M. Asymptotic approximations for multivariate integrals with an application to multinormal probabilities. (English) Zbl 0683.33003 J. Multivariate Anal. 30, No. 1, 80-97 (1989). Reviewer: A.M.Mathai MSC: 33B20 41A60 62E20 PDF BibTeX XML Cite \textit{K. Breitung} and \textit{M. Hohenbichler}, J. Multivariate Anal. 30, No. 1, 80--97 (1989; Zbl 0683.33003) Full Text: DOI OpenURL
Breitung, Karl Asymptotic crossing rates for stationary Gaussian vector processes. (English) Zbl 0648.60044 Stochastic Processes Appl. 29, No. 2, 195-207 (1988). Reviewer: K.Breitung MSC: 60G15 41A60 41A63 PDF BibTeX XML Cite \textit{K. Breitung}, Stochastic Processes Appl. 29, No. 2, 195--207 (1988; Zbl 0648.60044) Full Text: DOI OpenURL
Bernard, P.; Fogli, M. Un calcul probabiliste en genie civil. Evaluation de la probabilité de ruine des structures par une méthode de Monte-Carlo fondée sur une technique de conditionnement. (A probabilistic calculus in engineering. Evaluation of failure probability for structures by a Monte-Carlo method based on a conditioning technique). (French) Zbl 0632.73093 Ann. Sci. Univ. Clermont-Ferrand II 89, Math. 23, 47-90 (1986). Reviewer: J.Murzewski MSC: 74R99 74S30 65C05 60K10 PDF BibTeX XML Cite \textit{P. Bernard} and \textit{M. Fogli}, Ann. Sci. Univ. Clermont-Ferrand II, Math. 89(23), 47--90 (1986; Zbl 0632.73093) Full Text: Numdam EuDML OpenURL