Multi-objective topology optimisation for acoustic porous materials using gradient-based, gradient-free, and hybrid strategies

Ramamoorthy, Vivek T.; Özcan, Ender; Parkes, Andrew J.; Jaouen, Luc; Bécot, François-Xavier

Abstract

When designing passive sound-attenuation structures, one of the challenging problems that arise is optimally distributing acoustic porous materials within a design region so as to maximise sound absorption while minimising material usage. To identify efficient optimisation strategies for this multi-objective problem, several gradient, non-gradient, and hybrid topology optimisation strategies are compared. For gradient approaches, the solid-isotropic-material-with-penalisation method and a gradient-based constructive heuristic are considered. For gradient-free approaches, hill climbing with a weighted-sum scalarisation and a non-dominated sorting genetic algorithm-II are considered. Optimisation trials are conducted on seven benchmark problems involving rectangular design domains in impedance tubes subject to normal-incidence sound loads. The results indicate that while gradient methods can provide quick convergence with high-quality solutions, often gradient-free strategies are able to find improvements in specific regions of the Pareto front. Two hybrid approaches are proposed, combining a gradient method for initiation and a non-gradient method for local improvements. An effective Pareto-slope-based weighted-sum hill climbing is introduced for local improvement. Results reveal that for a given computational budget, the hybrid methods can consistently outperform the parent gradient or non-gradient method.

Citation

Ramamoorthy, V. T., Özcan, E., Parkes, A. J., Jaouen, L., & Bécot, F.-X. (2023). Multi-objective topology optimisation for acoustic porous materials using gradient-based, gradient-free, and hybrid strategies. Journal of the Acoustical Society of America, 153(5), Article 2945. https://doi.org/10.1121/10.0019455

• Journal Article Type: Article
• Acceptance Date: May 2, 2023
• Online Publication Date: May 19, 2023
• Publication Date: 2023-05
• Deposit Date: Jul 26, 2023
• Publicly Available Date: Jul 26, 2023
• Journal: Journal of the Acoustical Society of America
• Print ISSN: 0001-4966
• Electronic ISSN: 1520-8524
• Publisher: Acoustical Society of America
• Peer Reviewed: Peer Reviewed
• Volume: 153
• Issue: 5
• Article Number: 2945
• DOI: https://doi.org/10.1121/10.0019455
• Keywords: Acoustics, Evolutionary computation, Algorithms and data structure, Materials properties, 2D materials, Porous media, Optimization algorithms, Mathematical optimization, Gradient method, Optimization problems
• Public URL: https://nottingham-repository.worktribe.com/output/21112785
• Publisher URL: https://pubs.aip.org/asa/jasa/article-abstract/153/5/2945/2891461/Multi-objective-topology-optimisation-for-acoustic?redirectedFrom=fulltext