A simulated annealing approach for optimizing composite structures blended with multiple stacking sequence tables

Zeng, Jiani; Huang, Zhengdong; Chen, Yongfu; Liu, Wei; Chu, Shang

doi:10.1007/s00158-019-02223-9

Cited by 17 publications

(9 citation statements)

References 42 publications

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“…1c). However, it should be noted that recent studies using the Ply Drop Sequence concept [49], multiple SSTs [51] and a general resolution scheme [38] have managed to eliminate some or all of the aforementioned drawbacks, offering increased design freedom.…”

Section: Internal Covering Plymentioning

confidence: 99%

Mixed Integer Linear Programming formulations of the stacking sequence and blending optimisation of composite structures

Ntourmas

Glock

Daoud

et al. 2021

Composite Structures

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Section: Internal Covering Plymentioning

confidence: 99%

Mixed Integer Linear Programming formulations of the stacking sequence and blending optimisation of composite structures

Ntourmas

Glock

Daoud

et al. 2021

Composite Structures

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“…Global optimization can also be combined with parallel computing to better manage the computational expenses (Xing et al, 2020). Certain probabilistic methods that have the capability of utilizing multiple starting points such as simulated annealing is also a potential player to overcome the local minima problem (Zeng et al, 2019). Finally, neural networks show potential in providing robust results even with relatively bad initial guesses (Swirszcz et al, 2017).…”

Section: Challenges and Recent Trendsmentioning

confidence: 99%

Revisiting non-convexity in topology optimization of compliance minimization problems

Abdelhamid

Czekanski

2021

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Purpose This is an attempt to better bridge the gap between the mathematical and the engineering/physical aspects of the topic. The authors trace the different sources of non-convexification in the context of topology optimization problems starting from domain discretization, passing through penalization for discreteness and effects of filtering methods, and end with a note on continuation methods. Design/methodology/approach Starting from the global optimum of the compliance minimization problem, the authors employ analytical tools to investigate how intermediate density penalization affects the convexity of the problem, the potential penalization-like effects of various filtering techniques, how continuation methods can be used to approach the global optimum and how the initial guess has some weight in determining the final optimum. Findings The non-convexification effects of the penalization of intermediate density elements simply overshadows any other type of non-convexification introduced into the problem, mainly due to its severity and locality. Continuation methods are strongly recommended to overcome the problem of local minima, albeit its step and convergence criteria are left to the user depending on the type of application. Originality/value In this article, the authors present a comprehensive treatment of the sources of non-convexity in density-based topology optimization problems, with a focus on linear elastic compliance minimization. The authors put special emphasis on the potential penalization-like effects of various filtering techniques through a detailed mathematical treatment.

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Section: Challenges and Recent Trendsmentioning

confidence: 99%

Revisiting Non-Convexity in Topology Optimization of Compliance Minimization Problems

Abdelhamid,

Czekanski

2021

Preprint

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Purpose -This is an attempt to better bridge the gap between the mathematical and the engineering/physical aspects of the topic. We trace the different sources of nonconvexification in the context of topology optimization problems starting from domain discretization, passing through penalization for discreteness and effects of filtering methods, and end with a note on continuation methods.Design/Methodology/Approach -Starting from the global optimum of the compliance minimization problem, we employ analytical tools to investigate how intermediate density penalization affects the convexity of the problem, the potential penalization-like effects of various filtering techniques, how continuation methods can be used to approach the global optimum, and how the initial guess has some weight in determining the final optimum.Findings -The non-convexification effects of the penalization of intermediate density elements simply overshadows any other type of non-convexification introduced into the problem, mainly due to its severity and locality. Continuation methods are strongly recommended to overcome the problem of local minima, albeit its step and convergence criteria are left to the user depending on the type of application.Originality/Value -In this article, we present a comprehensive treatment of the sources of non-convexity in density-based topology optimization problems, with a focus on linear elastic compliance minimization. We put special emphasis on the potential penalizationlike effects of various filtering techniques through a detailed mathematical treatment.

show abstract

A simulated annealing approach for optimizing composite structures blended with multiple stacking sequence tables

Cited by 17 publications

References 42 publications

Mixed Integer Linear Programming formulations of the stacking sequence and blending optimisation of composite structures

Mixed Integer Linear Programming formulations of the stacking sequence and blending optimisation of composite structures

Revisiting non-convexity in topology optimization of compliance minimization problems

Revisiting Non-Convexity in Topology Optimization of Compliance Minimization Problems

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