Efficient reliability-based design optimization using a hybrid space with application to finite element analysis

Kharmanda, Ghias; Mohamed, Alaa; Lemaire, Maurice

doi:10.1007/s00158-002-0233-z

Cited by 134 publications

(48 citation statements)

References 14 publications

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“…For this reason, many analysis methods have been developed to deal with the statistical nature of data. The process efficiency is mandatory to deal with realistic engineering problems (Kharmanda et al, 2002); the metamodels can thus be very helpful in achieving the reliability-based optimal design with a reasonable computation effort. The solution obtained on the reliability basis is rather robust as the uncertain parameters are penalized during the design process, compared to a greater commitment of the well-controlled parameters.…”

Section: Introduction and Overview Of Embodiment Design Methodsmentioning

confidence: 99%

Dimensioning a product in preliminary design through different exploration techniques

Yannou

Troussier

Chateauneuf

et al. 2009

IJPD

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Once a design concept chosen and parameterized, the embodiment design stage consists in choosing materials and dimensions to ensure a "good matching" with the expected performances. In this context of the first stages of a parametric design, several approaches exist which correspond to slightly different complexities and issues, which are more or less easy to implement and must, consequently, be used at different stages. We consider in this paper three families of approaches: (1) exploring design (parametric) dimensioning under uncertainty (through constraint programming techniques, representations of feasible design points or Pareto frontiers), (2) robust design and multidisciplinary optimization and, lastly, (3) design for reliability. One advocates and states in this paper that these approaches must be used in that order of increasing complexity. Indeed, applying an approach allows to quickly figure out inadequacies with performance specifications or initial allowable bounds of design parameters and then to backtrack or to refine the design issue before passing to the next stage or approach. We illustrate that phenomenon in successively applying the three approaches on an ever more complex parametric dimensioning issue of a two-member truss structure. We clearly show that the successive optimal designs obtained by the three categories of methods are notably different, but that the optimal point obtained in a given approach is used to explore its surroundings in the next approach. Her research interests concern Product Design and, more accurately, the integration of virtual prototyping in product design process. Within this framework, she contributes to a knowledge management and knowledge modeling approach in order to enhance the use of structural analysis as soon as possible in the design process in order to improve product and process robustness. Engineering from the UTC. His research topics concern statistical analysis for quality management, design of experiments, robust design and design for sixsigma. Alaa Chateauneuf is a Full Professor in

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Section: Introduction and Overview Of Embodiment Design Methodsmentioning

confidence: 99%

Dimensioning a product in preliminary design through different exploration techniques

Yannou

Troussier

Chateauneuf

et al. 2009

IJPD

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“…However, from the optimization view point, an efficient method called the Hybrid Method (HM) has been elaborated by [11] where the optimization process is carried out in a Hybrid Design Space (HDS) (exposed in section 3.2). This method has been shown to verify the optimality conditions relative to the classical RBDO method.…”

Section: Classical Approachmentioning

confidence: 99%

Optimization Safety Factors to Study an Ultrasonic Motor

Radi

Makhloufi

Hami

et al. 2010

Int. J. Simul. Multidisci. Des. Optim.

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-In this paper, we present a new method based on Optimal Safety Factors (OSF) in the context of the Reliability-Based Design Optimization (RBDO) analysis of ultrasonic motors with traveling wave taking into account the contact between the different components (stator and rotor). We will underline also the different methods of the RBDO analysis and we highlight the advantage of our approach based on OSF. Numerical results are given to illustrate the proposed method.

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“…Since the reliability index is computed iteratively, an enormous amount of computer time is involved in the whole design process. A Hybrid Method (HM) based on simultaneous solution of the reliability and the optimization problem has successfully reduced the computational time problem (Kharmanda et al [6]). The HM allows us to satisfy a required reliability level, can be used in several cases (static, dynamic.…”

Section: Deterministic Design Optimizationmentioning

confidence: 99%

“…The major difficulty lies in the evaluation of the probabilistic constraints, which is prohibitively expensive and even diverges with many applications. However, from optimization view point, an efficient method called the Hybrid Method (HM) has been elaborated by Kharmanda et al [6] where the optimization process is carried out in a Hybrid Design Space (HDS). This method has been shown to verify the optimality conditions relative to the classical RBDO method.…”

Section: Introductionmentioning

confidence: 99%

Recent methodologies for reliability-based design optimization

Kharmanda

Mohsine

Makloufi

et al. 2008

Int. J. Simul. Multidisci. Des. Optim.

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-In the field of Deterministic Design Optimization (DDO), the designer reduces the structural cost without taking into account uncertainties concerning materials, geometry and loading. This way the resulting optimum solution may represent a lower level of reliability and thus a higher risk of failure. But in the Reliability-Based Design Optimization (RBDO) model, the mean values of uncertain system variables are usually used as design variables, and the cost is optimized subject to prescribed probabilistic constraints as defined by a nonlinear mathematical programming problem. Therefore, a RBDO solution that reduces the structural weight in uncritical regions does not only provide an improved design but also a higher level of confidence in the design. In this paper, we present the advantage of the DDO and RBDO models and next some recent methodologies in order to show that the RBDO model is a practical tool for structural engineers.

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Efficient reliability-based design optimization using a hybrid space with application to finite element analysis

Cited by 134 publications

References 14 publications

Dimensioning a product in preliminary design through different exploration techniques

Dimensioning a product in preliminary design through different exploration techniques

Optimization Safety Factors to Study an Ultrasonic Motor

Recent methodologies for reliability-based design optimization

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