A novel exploration strategy for the YUKI algorithm for topology optimization with metaheuristic structural binary distribution

Benaissa, Brahim; Kobayashi, Masakazu; Al Ali, Musaddiq; Khatir, Samir; Shimoda, Masatoshi

doi:10.1080/0305215x.2024.2349104

Engineering Optimization

2024

DOI: 10.1080/0305215x.2024.2349104

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A novel exploration strategy for the YUKI algorithm for topology optimization with metaheuristic structural binary distribution

Brahim Benaissa,

Masakazu Kobayashi,

Musaddiq Al Ali

et al.

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2024

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Cited by 1 publication

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On the scalability of truss geometry and topology optimization with global stability constraints via chordal decomposition

Weldeyesus,

Gondzio,

Anjos

2024

Struct Multidisc Optim

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Geometry optimization was recently introduced to existing truss topology optimization with global stability constraints. The resulting problems are formulated as highly nonlinear semidefinite programming problems that demand extensive computational effort to solve and have been solved only for small problem instances. The main challenge for effective computation is the positive semidefinite constraints which involve large sparse matrices. In this paper, we apply several techniques to tackle the challenge. First, we use the well-known chordal decomposition approach to replace each positive semidefinite constraint on a large sparse matrix by several positive semidefinite constraints on smaller submatrices together with suitable linking constraints. Moreover, we further improve the efficiency of the decomposition by applying a graph-based clique merging strategy to combine submatrices with significant overlap. Next, we couple these techniques with an optimization algorithm that fully exploits the structure of the smaller submatrices. As a result, we can solve much larger problems, which allows us to extend the existing single-load case to the multiple-load case, and to provide a computationally tractable approach for the latter case. Finally, we employ adaptive strategies from previous studies to solve successive problem instances, enabling the joints to navigate larger regions, and ultimately obtain further improved designs. The efficiency of the overall approach is demonstrated via computational experiments on large problem instances.

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On the scalability of truss geometry and topology optimization with global stability constraints via chordal decomposition

Weldeyesus,

Gondzio,

Anjos

2024

Struct Multidisc Optim

View full text Add to dashboard Cite

show abstract

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A novel exploration strategy for the YUKI algorithm for topology optimization with metaheuristic structural binary distribution

Cited by 1 publication

References 36 publications

On the scalability of truss geometry and topology optimization with global stability constraints via chordal decomposition

On the scalability of truss geometry and topology optimization with global stability constraints via chordal decomposition

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