On the formulation of optimization problems under uncertainty in mechanical design

Braydi, Oussama; Lafon, Pascal; Younès, Rafic

doi:10.1007/s12008-018-0492-6

Cited by 9 publications

(3 citation statements)

References 39 publications

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“…The first one is the classical bi-objective formulation performance (mean value) -stability (standard deviation), this formulation is used by [39] to identify the necessity of robust design optimization in mechanical design problems. Another bi-objective formulation based on mean-coefficient of variance is given in [40].…”

Section: Optimization Under Uncertaintymentioning

confidence: 99%

Robustness and reliability investigations on a nonlinear energy sink device concept

Braydi

Gogu

Paredes

2020

Mechanics & Industry

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In this work, the reliability and robustness of a nonlinear energy sink device concept are investigated. The system is studied and optimized in deterministic and probabilistic cases. It is also studied under various types of uncertainty modelings with different reliability based robust design optimization formulations. The obtained results reveal the sensitivity of the device to the input uncertainties. The optimal designs obtained with the formulation under uncertainties are very different from the deterministic optimal design. New system configurations are obtained which ensure robust, highly reliable designs. In addition, a comparison is made between the different formulations and a conclusion is drawn about the suitable formulations for such a problem.

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Section: Optimization Under Uncertaintymentioning

confidence: 99%

Robustness and reliability investigations on a nonlinear energy sink device concept

Braydi

Gogu

Paredes

2020

Mechanics & Industry

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“…On the contrary, it is necessary to characterize not only the accuracy level but also the robustness of the method used for the supplying. e robustness of a given system is its capacity to remain unaffected by small variations in the system itself and its environment [33][34][35]. Since uncertainties are taken into account in the proposed methodology, it is necessary to estimate the RLR, especially when CL increases because experimental or computation inaccuracies are expected to accumulate as function of CL.…”

Section: Input Parameters Costsmentioning

confidence: 99%

A Cost‐Benefit Methodology for Selecting Analytical Reinforced Concrete Corrosion Onset Models

Ravahatra

Larrard

Duprat

et al. 2020

Advances in Civil Engineering

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This work focuses on predicting corrosion onset induced by concrete carbonation or chloride ingress when using analytical predictive models. The paper proposes a procedure that helps building and infrastructure managers to select an appropriate model depending on the available information and the means granted to auscultation campaigns. The approach proposed combines the costs of input parameters, their relative importance, the benefits brought through obtaining parameters, and the maintenance strategy of the manager. Costs represent the intellectual investment to obtain parameters. This encompasses the time spent to obtain and analyze a result and the required expertise. Relative importance and benefits are obtained from sensitivity analysis. The effect of the maintenance strategy is introduced through a scalar called efficiency of the model. The proposed methodology is illustrated with two case studies where it is supposed that more or less extended information is available. Three concrete qualities are also considered in the case studies. The results highlight that the available data and concrete type have significant impacts on the selection of the most appropriate model.

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“…Broadly speaking optimization-under-uncertainty (OUU) can be divided into two classes: robust design optimization (RDO), which treats objective variability, and reliability-based design optimization (RBDO), which treats constraint variability. 52,51 In this paper the merger of the two classes, reliability-based robust design optimization (RBRDO) is applied, which can be defined as a problem that “seeks a design that is relatively insensitive to small changes in the uncertain quantities” and “that has a probability of failure that is less than some acceptable (invariably small) value” . 50,52 The importance of OUU has been displayed by a number of review papers that have been written in the last decade.…”

Section: Introductionmentioning

confidence: 99%

Design optimization-under-uncertainty of a forward swept wing unmanned aerial vehicle using SAMURAI

Wauters

2022

International Journal of Micro Air Vehicles

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In this paper the design optimization-under-uncertainty of a forward swept wing (FSW) blended wing body (BWB) unmanned aerial vehicle (UAV) is examined. Conventional BWBs are often tailless, which leads to a backward swept wing to ensure longitudinal static stability. This in turn can induce flow separation at the tip, leading to a loss of lift, controllability and the appearance of a nose-up pitching moment. A possible solution to this problem is a conceptual redesign by introducing a forward swept wing, which is inherently free of tip-stall, but needs a careful design in order to be controllable. However, fixed wing UAVs are often produced by means of direct injection expanded foam moulding, which is characterized by not negligible production tolerances. This lead to a reliability-based robust design optimization problem, for which a novel framework is employed: SAMURAI. Firstly, the method accounts for computational cost by means of surrogate modelling, an analytical treatment of the problem and an asynchronous updating scheme that balances design space exploration and objective exploitation. Secondly, the method treats the problem as a multi-objective problem, which leads to a Pareto front of robust and reliable designs. The result is a novel series of UAV designs that are inherently free of tip stall, perform robustly and meet the stability requirements with the target reliability obtained with a computationally feasible budget.

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On the formulation of optimization problems under uncertainty in mechanical design

Cited by 9 publications

References 39 publications

Robustness and reliability investigations on a nonlinear energy sink device concept

Robustness and reliability investigations on a nonlinear energy sink device concept

A Cost‐Benefit Methodology for Selecting Analytical Reinforced Concrete Corrosion Onset Models

Design optimization-under-uncertainty of a forward swept wing unmanned aerial vehicle using SAMURAI

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