Bi-directional Evolutionary Structural Optimization on Advanced Structures and Materials: A Comprehensive Review

Xia, Liang; Xia, Qi; Huang, Xiaodong; Xie, Yi Min

doi:10.1007/s11831-016-9203-2

Cited by 266 publications

(118 citation statements)

References 183 publications

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“…(b) Perform structural analysis for the macrostructure according to Equations (5) and (6) for the selected deterministic load vectors. (c) Calculate the mean and standard deviation and objective function according to Equations (16) to (18) or (35) to (37). (d) Perform sensitivity analysis at the macroscale according to Equation (28).…”

Section: Numerical Proceduresmentioning

confidence: 99%

Robust concurrent topology optimization of multiscale structure under single or multiple uncertain load cases

Cai

Wang

Zhang³

2019

Numerical Meth Engineering

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Concurrent topology optimization of macrostructure and material microstructure has attracted significant interest in recent years. However, most of the existing works assumed deterministic load conditions, thus the obtained design might have poor performance in practice when uncertainties exist. Therefore, it is necessary to take uncertainty into account in structural design. This article proposes an efficient method for robust concurrent topology optimization of multiscale structure under single or multiple load cases. The weighted sum of the mean and standard deviation of the structural compliance is minimized and constraints are imposed to both the volume fractions of macrostructure and microstructure. The effective properties of the microstructure are calculated via the homogenization method. An efficient sensitivity analysis method is proposed based on the superposition principle and orthogonal similarity transformation of real symmetric matrices. To further reduce the computational cost, an efficient decoupled sensitivity analysis method for microscale design variables is proposed. The bidirectional evolutionary structural optimization method is employed to obtain black and white designs for both macrostructure and microstructure. Several two‐dimensional and three‐dimensional numerical examples are presented to demonstrate the effectiveness of the proposed approach and the effects of load uncertainty on the optimal design of both macrostructure and microstructure.

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Section: Numerical Proceduresmentioning

confidence: 99%

Robust concurrent topology optimization of multiscale structure under single or multiple uncertain load cases

Cai

Wang

Zhang³

2019

Numerical Meth Engineering

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“…In the original BESO method, the algorithm terminates when the prescribed volume for the structure is reached [6]. In the BELO method, there are no changes to the structure's volume and therefore a new termination criterion must be introduced.…”

Section: Termination Criterionmentioning

confidence: 99%

“…BESO is a well-known method mostly used for topology optimisation of stationary structures [6]. Usually combined with finite element analysis (FEA), the basic idea behind the BESO method is to remove inefficient material and add material to weaker parts of the structure.…”

Section: Introductionmentioning

confidence: 99%

A method to optimise the materials layout of small wind turbine blades

Costa

Evans

Bradney

et al. 2017

Renew. Energy Environ. Sustain.

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Abstract. This paper presents a method to optimise the material layout of a fibreglass-reinforced composite constructed small wind turbine blade. The method was developed with the intent of reducing blade mass without compromising the blade's structural performance or longevity. The bi-directional evolutionary layout optimisation method utilises finite element analysis to redesign the composite lay of the blade structure based on a strain energy criterion. Details of the procedure of this method are documented in the paper. The bi-directional evolutionary optimisation technique was applied to the existing structure of a 2.5 m composite blade from an Aerogenesis 5 kW wind turbine. The optimisation technique was able to reduce the current mass of the blade by 15% without any increase in blade deflection with strains kept below a fatigue endurance limit when subject to aerodynamic and centrifugal loading conditions at design conditions. The initial results from this study are promising and could help lower manufacturing costs of small wind turbine blades.

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“…Принципиаль-ное отличие данного метода от ESO заключается в том, что индекс чувствительности пустых элементов определяется путем линейной экстраполяции поля смещений, получаемого в резуль-тате конечно-элементного анализа [14]. После этого заполненные элементы с минимальными значениями индекса чувствительности удаляются из структуры, а пустые элементы с наиболь-шими значениями чувствительности заполняются материалом.…”

Section: R Iunclassified

Topology Optimization Methods in Aerospace Industry

Bashin¹,

Торсунов²,

Semenov³

2017

PNRPU Aerospace Engineering Bulletin

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Пермский национальный исследовательский политехнический университет, Пермь, Россия МЕТОДЫ ТОПОЛОГИЧЕСКОЙ ОПТИМИЗАЦИИ КОНСТРУКЦИЙ, ПРИМЕНЯЮЩИЕСЯ В АЭРОКОСМИЧЕСКОЙ ОТРАСЛИПосвящено основным методам топологической оптимизации, применяемым для увеличения удельной прочно-сти узлов аэрокосмической техники путем оптимизации их геометрических параметров. Для деталей, применяющихся в аэрокосмической отрасли, основными задачами топологической оптимизации могут являться как минимизация объе-ма/массы при прочностных ограничениях, так и оптимизация других параметров с ограничениями по объему. Рассмот-рены методы эволюционной оптимизации конструкций (ESO), метод двунаправленной эволюционной оптимизации кон-струкций (BESO), метод пенализации для твердого изотропного тела (SIMP), его гибридная модификация (ESO-SIMP) и метод установления уровня (Level-Set). Особенности их применения демонстрируются на примерах различных конст-рукций. Приведены теоретические основы для каждого из методов, области их применения. Рассмотрены их преиму-щества и недостатки. Кроме этого в работе представлен обзор примеров применения методов топологической оптими-зации в аэрокосмической отрасли. Рассмотрены работы, посвященные оптимизации геометрических параметров таких деталей, как нервюра крыла самолета, пилон, неохлаждаемая лопатка турбины и т.д. Проведен анализ значимости по-явления аддитивных технологий для процесса развития методов топологической оптимизации. Дана оценка перспек-тивности их совместного развития и вытеснения ими классических субтрактивных технологий производства.Ключевые слова: топологическая оптимизация, метод эволюционной оптимизации конструкций, метод двуна-правленной эволюционной оптимизации конструкций, метод пенализации для твердого изотропного тела, метод уста-новления уровня, аддитивные технологии. K.A. Bashin, R.A. Torsunov, S.V. SemenovPerm National Research Polytechnic University, Perm, Russian Federation TOPOLOGY OPTIMIZATION METHODS IN AEROSPACE INDUSTRYThe article is devoted to the basic methods of topological optimization, applied to increase the specific strength of nodes of aerospace technology, by optimizing their geometric parameters. For the details used in the aerospace industry, the main objectives of topological optimization may be to minimize volume / mass under strength limits and optimize other parameters with volume constraints. The method of evolutionary structural (ESO), the method of bi-directional evolutionary structural optimization (BESO), the method solid isotropic material with penalization (SIMP), its hybrid modification (ESO-SIMP) and the Level-Set method are considered. The features of their application are demonstrated on examples of various designs. The theoretical basis for each of the methods and the field of their application are given. Their advantages and disadvantages are considered. In addition, the paper reviews examples of the application of topological optimization methods in the aerospace industry. The works devoted to optimization of geometrical parameters of such details as a wi...

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Bi-directional Evolutionary Structural Optimization on Advanced Structures and Materials: A Comprehensive Review

Cited by 266 publications

References 183 publications

Robust concurrent topology optimization of multiscale structure under single or multiple uncertain load cases

Robust concurrent topology optimization of multiscale structure under single or multiple uncertain load cases

A method to optimise the materials layout of small wind turbine blades

Topology Optimization Methods in Aerospace Industry

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