Sequential Optimization Methods

Dejaegher, Bieke; Heyden, Yvan Vander

doi:10.1016/b978-0-12-409547-2.14870-x

Cited by 3 publications

(1 citation statement)

References 49 publications

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“…This reduces the number of function evaluations required to find the optimum point. This method is sometimes known as the sequential optimisation reliability analysis (SORA) strategy (Dejaegher and Heyden, 2009; Du and Chen, 2004) or decoupled approach (Moustapha and Sudret, 2019). In addition, surrogate modelling can be used to further reduce the computational cost of this strategy (Díaz et al , 2016; Moustapha and Sudret, 2019).…”

Section: Introductionmentioning

confidence: 99%

Multi-scale reliability-based design optimisation framework for fibre-reinforced composite laminates

Omairey

Dunning

Sriramula

2020

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Purpose The purpose of this study is to enable performing reliability-based design optimisation (RBDO) for a composite component while accounting for several multi-scale uncertainties using a large representative volume element (LRVE). This is achieved using an efficient finite element analysis (FEA)-based multi-scale reliability framework and sequential optimisation strategy. Design/methodology/approach An efficient FEA-based multi-scale reliability framework used in this study is extended and combined with a proposed sequential optimisation strategy to produce an efficient, flexible and accurate RBDO framework for fibre-reinforced composite laminate components. The proposed RBDO strategy is demonstrated by finding the optimum design solution for a composite component under the effect of multi-scale uncertainties while meeting a specific stiffness reliability requirement. Performing this using the double-loop approach is computationally expensive because of the number of uncertainties and function evaluations required to assess the reliability. Thus, a sequential optimisation concept is proposed, which starts by finding a deterministic optimum solution, then assesses the reliability and shifts the constraint limit to a safer region. This is repeated until the desired level of reliability is reached. This is followed by a final probabilistic optimisation to reduce the mass further and meet the desired level of stiffness reliability. In addition, the proposed framework uses several surrogate models to replace expensive FE function evaluations during optimisation and reliability analysis. The numerical example is also used to investigate the effect of using different sizes of LRVEs, compared with a single RVE. In future work, other problem-dependent surrogates such as Kriging will be used to allow predicting lower probability of failures with high accuracy. Findings The integration of the developed multi-scale reliability framework with the sequential RBDO optimisation strategy is proven computationally feasible, and it is shown that the use of LRVEs leads to less conservative designs compared with the use of single RVE, i.e. up to 3.5% weight reduction in the case of the 1 × 1 RVE optimised component. This is because the LRVE provides a representation of the spatial variability of uncertainties in a composite material while capturing a wider range of uncertainties at each iteration. Originality/value Fibre-reinforced composite laminate components designed using reliability and optimisation have been investigated before. Still, they have not previously been combined in a comprehensive multi-scale RBDO. Therefore, this study combines the probabilistic framework with an optimisation strategy to perform multi-scale RBDO and demonstrates its feasibility and efficiency for an fibre reinforced polymer component design.

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Section: Introductionmentioning

confidence: 99%

Multi-scale reliability-based design optimisation framework for fibre-reinforced composite laminates

Omairey

Dunning

Sriramula

2020

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Anti-fatigue optimization of the twisting force arm of landing gear based on Kriging approximate sequential optimization method

Xie,

Yang,

Sun

et al. 2023

Journal of the Chinese Institute of Engineers

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Software tools application in IT products selection

Grujčić¹,

Pažun²,

Langović³

2022

Serb J Engin Manag

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When it comes to making of certain decisions everyday/routine or specific, which often imply planning, programming, selection of the most favorable alternative, financing or realization of business task, it is mostly based on the data analysis. Criteria which are imposed on that occasion are diverse and sometimes mutually opposed. Problems posed to the decision maker are often unstructured so there is no mathematical algorithm for solving them, and often there is a question of objectivity in choosing the optimal solution.The subject of this work is the use of Excel Solver in finding the optimal choice of products in the company which is engaged in trade of computer equipment, considering sales trends, available storage and human capacities as well as the financial limitations. The fundamentals of linear programming are presented with the concrete example of sales of the desktop computers, laptop computers and tablet appliances, and their implementation presents the base of the use of the Excel Solver.

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Sequential Optimization Methods

Cited by 3 publications

References 49 publications

Multi-scale reliability-based design optimisation framework for fibre-reinforced composite laminates

Multi-scale reliability-based design optimisation framework for fibre-reinforced composite laminates

Anti-fatigue optimization of the twisting force arm of landing gear based on Kriging approximate sequential optimization method

Software tools application in IT products selection

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