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Hierarchical remeshing strategies with mesh mapping for topology optimisation

Panesar, Ajit; Brackett, David; Ashcroft, Ian; Wildman, Ricky D.; Hague, Richard

Authors

Ajit Panesar

David Brackett

IAN ASHCROFT IAN.ASHCROFT@NOTTINGHAM.AC.UK
Professor of Mechanics of Solids

Ricky D. Wildman

RICHARD HAGUE RICHARD.HAGUE@NOTTINGHAM.AC.UK
Professor of Additive Manufacturing



Abstract

This work investigates the use of hierarchical mesh decomposition strategies for topology optimisation using bi-directional evolutionary structural optimisation algorithm. The proposed method uses a dual mesh system that decouples the design variables from the finite element analysis mesh. The investigation focuses on previously unexplored areas of these techniques to investigate the effect of five meshing parameters on the analysis solving time (i.e. computational effort) and the analysis quality (i.e. solution optimality). The foreground mesh parameters, including adjacency ratio and minimum and maximum element size, were varied independently across solid and void domain regions. Within the topology optimisation, strategies for controlling the mesh parameters were investigated. The differing effects of these parameters on the efficiency and efficacy of the analysis and optimisation stages are discussed, and recommendations are made for parameter combinations. Some of the key findings were that increasing the adjacency ratio increased the efficiency only modestly – the largest effect was for the minimum and maximum element size parameters – and that the most dramatic reduction in solve time can be achieved by not setting the minimum element size too low, assuming mapping onto a background mesh with a minimum element size of 1.

Citation

Panesar, A., Brackett, D., Ashcroft, I., Wildman, R. D., & Hague, R. (2017). Hierarchical remeshing strategies with mesh mapping for topology optimisation. International Journal for Numerical Methods in Engineering, https://doi.org/10.1002/nme.5488

Journal Article Type Article
Acceptance Date Dec 3, 2016
Online Publication Date Dec 14, 2016
Publication Date Feb 7, 2017
Deposit Date Feb 8, 2017
Publicly Available Date Mar 29, 2024
Journal International Journal for Numerical Methods in Engineering
Print ISSN 0029-5981
Electronic ISSN 1097-0207
Publisher Wiley
Peer Reviewed Peer Reviewed
DOI https://doi.org/10.1002/nme.5488
Public URL https://nottingham-repository.worktribe.com/output/847251
Publisher URL http://onlinelibrary.wiley.com/doi/10.1002/nme.5488/abstract

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