Benchmark study of numerical methods for reliability-based design optimization

Aoues, Younès; Chateauneuf, Alaa

doi:10.1007/s00158-009-0412-2

Cited by 356 publications

(157 citation statements)

References 28 publications

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“…Mathemati-cally, the SSI theory presents the failure probability f P of a mechanical system as the probability that the stress exceeds the strength. The reliability R is the probability that the stress is less than the allowable strength, denoted as [2,6]:…”

Section: Stress-strength Interference (Ssi) Theorymentioning

confidence: 99%

“…Correlation is an inherent specialty of complicated mechanical systems, which is one of the greatest issues affecting and restricting mechanical reliability research [2,6,7,10]. If the dependence of system failures is ignored, analysis of system reliability often leads to an excessive error.…”

Section: Reliability Analysis Of Gears Considering Failure Correlationmentioning

confidence: 99%

“…The failure of gears in mechanical transmission will lead to a poor performance, sometimes even serious accidents and subsequently great economic loss. Therefore, developing an effective and accurate fatigue reliability evaluation model for gear transmission has been a hot topic in the gear engineering community [2,3,11].…”

Section: Introductionmentioning

confidence: 99%

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Reliability analysis of gear transmission with considering failure correlation

Zuo¹,

Yu²,

Mi³

et al. 2015

EiN

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Section: Stress-strength Interference (Ssi) Theorymentioning

confidence: 99%

Section: Reliability Analysis Of Gears Considering Failure Correlationmentioning

confidence: 99%

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Reliability analysis of gear transmission with considering failure correlation

Zuo¹,

Yu²,

Mi³

et al. 2015

EiN

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show abstract

“…Younes and Alaa overviewed the various RBDO approaches using mathematical and finite element models with different levels of difficulties [10]. Marcos and Gerhart (2010) produced a detailed literature review on reliability-based optimization [11].…”

Section: Introductionmentioning

confidence: 99%

Reliability-based Support Optimization of Rockbolt Reinforcement around Tunnels in Rock Masses

Zhao

Zhang

Zhu

2017

Period. Polytech. Civil Eng.

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IntroductionThe design and performance of tunnels are usually affected by some uncertainties that can be costly and time-consuming for tunnel construction projects. Traditional empirical and deterministic design approaches do not include uncertainty in tunnel support design [1][2][3], but tend to be based on trial-anderror processes that consider safety and cost [4][5][6]. Reliabilitybased optimization (RBO) makes provision for the uncertainty of structures by adding probabilistic constraints. This is quite straight forward if the results of the reliability analysis are accurate and precise so that no question arises as to whether a given design satisfies safety requirements. The purpose of RBO is to find a balanced design that is not only economical but also reliable in the presence of uncertainty [7].Over the past few decades, numerous reliability optimization techniques have been proposed [6,8,9]. Younes and Alaa overviewed the various RBDO approaches using mathematical and finite element models with different levels of difficulties [10]. Marcos and Gerhart (2010) produced a detailed literature review on reliability-based optimization [11]. Although RBO has some evident advantages overdeterministic optimization design, it is often computationally inefficient. Response surface methodology has been applied in RBO in attempts to improve its efficiency [12,13]. Zhang et al. applied the mean first-order reliability method (MFORM) to the optimization of geotechnical systems [6]. Those methods improved the computational efficiency but decreased the accuracy of the reliability analysis, which affects the results of RBO. The selection of an optimization method is critical to RBO applications, especially for complex nonlinear optimization problems. Gen and Yun reviewed the application of soft computing methods in reliability optimization [14]. Genetic algorithms and particle swarm optimization have also been applied to RBO [7,15]. Lee et al. proposed a methodology to convert an RBDO problem requiring very high reliability to an RBDO problem requiring relatively low reliability by appropriately increasing the input standard deviations for efficient computation in sampling-based RBDO [16].

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“…The double loop algorithm which nests the reliability calculation loop in the optimization loop is the most direct approach. Recently, scholars have developed some technologies for the effective RBDO problem solving [7][8][9][10][11], such as the approximate reliability, advanced simulation, met model, High Performance Computing and agent model etc. The agent model is a simulative model to replace the structural analysis model, which can reduce computing burden, smooth the numerical noise and result in the prevalence of the agent model when tackling the RBDO problem [9,[12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Reliability-Based Design Optimization of RC Frames Based on the RBDO-Kriging Method

Chen¹,

Wei²

2017

Proceedings of the 2017 International Conference on Advanced Materials Science and Civil Engineering (AMSCE 2017)

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Abstract-Reliability-based design optimization (RBDO) is a more rational optimization design method due to its consideration of the structure reliability requirements. A new RBDO-kriging method that combines kriging agent model and covariance matrix adaptation evolution strategy (CMAES) is proposed to solve the problems of RBDO of concrete frames efficiently. RBDO of a ten-story and two-bay concrete frame is implemented, the results obtained by comparing five working conditions show that, the refining kriging model proposed in this paper is effective, and RBDO-kriging algorithm can obtain better solution than deterministic optimization algorithm and optimization algorithm based on basic kriging model.

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Benchmark study of numerical methods for reliability-based design optimization

Cited by 356 publications

References 28 publications

Reliability analysis of gear transmission with considering failure correlation

Reliability analysis of gear transmission with considering failure correlation

Reliability-based Support Optimization of Rockbolt Reinforcement around Tunnels in Rock Masses

Reliability-Based Design Optimization of RC Frames Based on the RBDO-Kriging Method

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