Zhang, Hanlin; Zhou, Changcong; Zhao, Haodong; Zhang, Zheng An ensemble model-based method for estimating failure probability function with application in reliability-based optimization. (English) Zbl 1503.62092 Appl. Math. Modelling 108, 445-468 (2022). MSC: 62N05 90B25 PDFBibTeX XMLCite \textit{H. Zhang} et al., Appl. Math. Modelling 108, 445--468 (2022; Zbl 1503.62092) Full Text: DOI
Jensen, H.; Jerez, D.; Beer, M. A general two-phase Markov chain Monte Carlo approach for constrained design optimization: application to stochastic structural optimization. (English) Zbl 1506.74248 Comput. Methods Appl. Mech. Eng. 373, Article ID 113487, 27 p. (2021). MSC: 74P05 74S60 PDFBibTeX XMLCite \textit{H. Jensen} et al., Comput. Methods Appl. Mech. Eng. 373, Article ID 113487, 27 p. (2021; Zbl 1506.74248) Full Text: DOI
Faes, Matthias G. R.; Valdebenito, Marcos A. Fully decoupled reliability-based design optimization of structural systems subject to uncertain loads. (English) Zbl 1506.74247 Comput. Methods Appl. Mech. Eng. 371, Article ID 113313, 17 p. (2020). MSC: 74P05 PDFBibTeX XMLCite \textit{M. G. R. Faes} and \textit{M. A. Valdebenito}, Comput. Methods Appl. Mech. Eng. 371, Article ID 113313, 17 p. (2020; Zbl 1506.74247) Full Text: DOI
Xiukai, Yuan; Zhenxuan, Zheng; Baoqiang, Zhang Augmented line sampling for approximation of failure probability function in reliability-based analysis. (English) Zbl 1481.62099 Appl. Math. Modelling 80, 895-910 (2020). MSC: 62N05 74P05 90B25 PDFBibTeX XMLCite \textit{Y. Xiukai} et al., Appl. Math. Modelling 80, 895--910 (2020; Zbl 1481.62099) Full Text: DOI
Yu, Shui; Wang, Zhonglai A general decoupling approach for time- and space-variant system reliability-based design optimization. (English) Zbl 1442.74162 Comput. Methods Appl. Mech. Eng. 357, Article ID 112608, 23 p. (2019). MSC: 74P10 PDFBibTeX XMLCite \textit{S. Yu} and \textit{Z. Wang}, Comput. Methods Appl. Mech. Eng. 357, Article ID 112608, 23 p. (2019; Zbl 1442.74162) Full Text: DOI
Keshavarzzadeh, Vahid; Ghanem, Roger G.; Tortorelli, Daniel A. Shape optimization under uncertainty for rotor blades of horizontal axis wind turbines. (English) Zbl 1441.74150 Comput. Methods Appl. Mech. Eng. 354, 271-306 (2019). MSC: 74P10 74F10 76U05 PDFBibTeX XMLCite \textit{V. Keshavarzzadeh} et al., Comput. Methods Appl. Mech. Eng. 354, 271--306 (2019; Zbl 1441.74150) Full Text: DOI
Zhang, J.; Taflanidis, A. A.; Medina, J. C. Sequential approximate optimization for design under uncertainty problems utilizing Kriging metamodeling in augmented input space. (English) Zbl 1439.74260 Comput. Methods Appl. Mech. Eng. 315, 369-395 (2017). MSC: 74P10 PDFBibTeX XMLCite \textit{J. Zhang} et al., Comput. Methods Appl. Mech. Eng. 315, 369--395 (2017; Zbl 1439.74260) Full Text: DOI
Keshavarzzadeh, Vahid; Meidani, Hadi; Tortorelli, Daniel A. Gradient based design optimization under uncertainty via stochastic expansion methods. (English) Zbl 1436.74052 Comput. Methods Appl. Mech. Eng. 306, 47-76 (2016). MSC: 74P05 65N75 90C15 PDFBibTeX XMLCite \textit{V. Keshavarzzadeh} et al., Comput. Methods Appl. Mech. Eng. 306, 47--76 (2016; Zbl 1436.74052) Full Text: DOI
Crevecoeur, Guillaume; De Staelen, Rob H. On cost function transformations for the reduction of uncertain model parameters’ impact towards the optimal solutions. (English) Zbl 1326.90056 J. Comput. Appl. Math. 289, 392-399 (2015). MSC: 90C15 PDFBibTeX XMLCite \textit{G. Crevecoeur} and \textit{R. H. De Staelen}, J. Comput. Appl. Math. 289, 392--399 (2015; Zbl 1326.90056) Full Text: DOI
Mínguez, Roberto; Conejo, Antonio J.; Castillo, Enrique Optimal engineering design via Benders’ decomposition. (English) Zbl 1284.90110 Ann. Oper. Res. 210, 273-293 (2013). MSC: 90C90 90C15 PDFBibTeX XMLCite \textit{R. Mínguez} et al., Ann. Oper. Res. 210, 273--293 (2013; Zbl 1284.90110) Full Text: DOI
Beaurepaire, P.; Valdebenito, M. A.; Schuëller, Gerhart Iwo; Jensen, H. A. Reliability-based optimization of maintenance scheduling of mechanical components under fatigue. (English) Zbl 1253.74074 Comput. Methods Appl. Mech. Eng. 221-222, 24-40 (2012). MSC: 74P10 90B25 90B35 74R10 PDFBibTeX XMLCite \textit{P. Beaurepaire} et al., Comput. Methods Appl. Mech. Eng. 221--222, 24--40 (2012; Zbl 1253.74074) Full Text: DOI
Valdebenito, Marcos A.; Schuëller, Gerhart I. A survey on approaches for reliability-based optimization. (English) Zbl 1274.90125 Struct. Multidiscip. Optim. 42, No. 5, 645-663 (2010). MSC: 90B25 74P05 74-02 PDFBibTeX XMLCite \textit{M. A. Valdebenito} and \textit{G. I. Schuëller}, Struct. Multidiscip. Optim. 42, No. 5, 645--663 (2010; Zbl 1274.90125) Full Text: DOI
Aoues, Younes; Chateauneuf, Alaa Benchmark study of numerical methods for reliability-based design optimization. (English) Zbl 1274.90115 Struct. Multidiscip. Optim. 41, No. 2, 277-294 (2010). MSC: 90B25 60K10 65K05 PDFBibTeX XMLCite \textit{Y. Aoues} and \textit{A. Chateauneuf}, Struct. Multidiscip. Optim. 41, No. 2, 277--294 (2010; Zbl 1274.90115) Full Text: DOI
Valdebenito, M. A.; Schuëller, G. I. Design of maintenance schedules for fatigue-prone metallic components using reliability-based optimization. (English) Zbl 1231.74355 Comput. Methods Appl. Mech. Eng. 199, No. 33-36, 2305-2318 (2010). MSC: 74P10 74R20 PDFBibTeX XMLCite \textit{M. A. Valdebenito} and \textit{G. I. Schuëller}, Comput. Methods Appl. Mech. Eng. 199, No. 33--36, 2305--2318 (2010; Zbl 1231.74355) Full Text: DOI
Jensen, H. A.; Valdebenito, M. A.; Schuëller, G. I.; Kusanovic, D. S. Reliability-based optimization of stochastic systems using line search. (English) Zbl 1231.74348 Comput. Methods Appl. Mech. Eng. 198, No. 49-52, 3915-3924 (2009). MSC: 74P10 74H50 PDFBibTeX XMLCite \textit{H. A. Jensen} et al., Comput. Methods Appl. Mech. Eng. 198, No. 49--52, 3915--3924 (2009; Zbl 1231.74348) Full Text: DOI Link
Marti, Kurt Computation of probabilities of survival/failure of technical economic systems/structures by means of piecewise linearization of the performance function. (English) Zbl 1273.90066 Struct. Multidiscip. Optim. 35, No. 3, 225-244 (2008). MSC: 90B25 90C57 62N05 PDFBibTeX XMLCite \textit{K. Marti}, Struct. Multidiscip. Optim. 35, No. 3, 225--244 (2008; Zbl 1273.90066) Full Text: DOI
Taflanidis, Alexandros A.; Beck, James L. An efficient framework for optimal robust stochastic system design using stochastic simulation. (English) Zbl 1194.74260 Comput. Methods Appl. Mech. Eng. 198, No. 1, 88-101 (2008). MSC: 74P10 74S60 PDFBibTeX XMLCite \textit{A. A. Taflanidis} and \textit{J. L. Beck}, Comput. Methods Appl. Mech. Eng. 198, No. 1, 88--101 (2008; Zbl 1194.74260) Full Text: DOI
Jensen, H. A.; Valdebenito, M. A.; Schuëller, G. I. An efficient reliability-based optimization scheme for uncertain linear systems subject to general Gaussian excitation. (English) Zbl 1194.74245 Comput. Methods Appl. Mech. Eng. 198, No. 1, 72-87 (2008). MSC: 74P10 74S60 PDFBibTeX XMLCite \textit{H. A. Jensen} et al., Comput. Methods Appl. Mech. Eng. 198, No. 1, 72--87 (2008; Zbl 1194.74245) Full Text: DOI Link
Ching, Jianye; Hsu, Wei Chih Approximate optimization of systems with high-dimensional uncertainties and multiple reliability constraints. (English) Zbl 1194.74241 Comput. Methods Appl. Mech. Eng. 198, No. 1, 52-71 (2008). MSC: 74P10 74S60 62N05 PDFBibTeX XMLCite \textit{J. Ching} and \textit{W. C. Hsu}, Comput. Methods Appl. Mech. Eng. 198, No. 1, 52--71 (2008; Zbl 1194.74241) Full Text: DOI
Marti, K. Limit load and shakedown analysis of plastic structures under stochastic uncertainty. (English) Zbl 1194.74018 Comput. Methods Appl. Mech. Eng. 198, No. 1, 42-51 (2008). MSC: 74C05 74S60 PDFBibTeX XMLCite \textit{K. Marti}, Comput. Methods Appl. Mech. Eng. 198, No. 1, 42--51 (2008; Zbl 1194.74018) Full Text: DOI
Schuëller, G. I.; Jensen, H. A. Computational methods in optimization considering uncertainties - An overview. (English) Zbl 1194.74258 Comput. Methods Appl. Mech. Eng. 198, No. 1, 2-13 (2008). MSC: 74P10 74S99 PDFBibTeX XMLCite \textit{G. I. Schuëller} and \textit{H. A. Jensen}, Comput. Methods Appl. Mech. Eng. 198, No. 1, 2--13 (2008; Zbl 1194.74258) Full Text: DOI
Marano, Giuseppe Carlo Reliability based multiobjective optimization for design of structures subject to random vibrations. (English) Zbl 1355.74064 J. Zhejiang Univ., Sci. A 9, No. 1, 15-25 (2008). MSC: 74P10 74H50 90C29 PDFBibTeX XMLCite \textit{G. C. Marano}, J. Zhejiang Univ., Sci. A 9, No. 1, 15--25 (2008; Zbl 1355.74064) Full Text: DOI
Marti, K. Reliability analysis of technical systems/structures by means of polyhedral approximation of the safe/unsafe domain. (English) Zbl 1165.90423 GAMM-Mitt. 30, No. 2, 211-254 (2007). MSC: 90B25 62N05 74K99 PDFBibTeX XMLCite \textit{K. Marti}, GAMM-Mitt. 30, No. 2, 211--254 (2007; Zbl 1165.90423) Full Text: DOI
Schuëller, G. I. Developments in stochastic structural mechanics. (English) Zbl 1168.74398 Arch. Appl. Mech. 75, No. 10-12, 755-773 (2006). MSC: 74K99 74E35 PDFBibTeX XMLCite \textit{G. I. Schuëller}, Arch. Appl. Mech. 75, No. 10--12, 755--773 (2006; Zbl 1168.74398) Full Text: DOI
Jensen, Hector A. Structural optimization of linear dynamical systems under stochastic excitation: a moving reliability database approach. (English) Zbl 1083.74042 Comput. Methods Appl. Mech. Eng. 194, No. 12-16, 1757-1778 (2005). MSC: 74P10 74H50 PDFBibTeX XMLCite \textit{H. A. Jensen}, Comput. Methods Appl. Mech. Eng. 194, No. 12--16, 1757--1778 (2005; Zbl 1083.74042) Full Text: DOI
Marti, Kurt; Stoeckl, Gerald Stochastic linear programming methods in limit load analysis and optimal plastic design under stochastic uncertainty. (English) Zbl 1070.93023 ZAMM, Z. Angew. Math. Mech. 84, No. 10-11, 666-677 (2004). Reviewer: Vadim Komkov (Florida) MSC: 93B51 74P10 90B25 90C15 74C99 93A30 PDFBibTeX XMLCite \textit{K. Marti} and \textit{G. Stoeckl}, ZAMM, Z. Angew. Math. Mech. 84, No. 10--11, 666--677 (2004; Zbl 1070.93023) Full Text: DOI
Doltsinis, Ioannis Inelastic deformation processes with random parameters – methods of analysis and design. (English) Zbl 1119.74627 Comput. Methods Appl. Mech. Eng. 192, No. 20-21, 2405-2423 (2003). MSC: 74S30 74C99 PDFBibTeX XMLCite \textit{I. Doltsinis}, Comput. Methods Appl. Mech. Eng. 192, No. 20--21, 2405--2423 (2003; Zbl 1119.74627) Full Text: DOI
Gosling, P. D.; Liu, L. Total Lagrangian perspectives on analytical sensitivities for flexible beams. (English) Zbl 1211.74140 Int. J. Eng. Sci. 40, No. 12, 1363-1379 (2002). MSC: 74K10 PDFBibTeX XMLCite \textit{P. D. Gosling} and \textit{L. Liu}, Int. J. Eng. Sci. 40, No. 12, 1363--1379 (2002; Zbl 1211.74140) Full Text: DOI
Papadrakakis, Manolis; Lagaros, Nikos D. Reliability-based structural optimization using neural networks and Monte Carlo simulation. (English) Zbl 1101.74377 Comput. Methods Appl. Mech. Eng. 191, No. 32, 3491-3507 (2002). MSC: 74S30 74P10 92B20 62N05 PDFBibTeX XMLCite \textit{M. Papadrakakis} and \textit{N. D. Lagaros}, Comput. Methods Appl. Mech. Eng. 191, No. 32, 3491--3507 (2002; Zbl 1101.74377) Full Text: DOI
Kuschel, Norbert; Rackwitz, Rüdiger Time-variant reliability-based structural optimization using SORM. (English) Zbl 0972.90019 Optimization 47, No. 3-4, 349-368 (2000). MSC: 90B25 PDFBibTeX XMLCite \textit{N. Kuschel} and \textit{R. Rackwitz}, Optimization 47, No. 3--4, 349--368 (2000; Zbl 0972.90019) Full Text: DOI