Topology optimization of broadband acoustic transition section: a comparison between deterministic and stochastic approaches

Mousavi A, Uihlein A, Pflug L, Wadbro E (2024)

Publication Type: Journal article

Publication year: 2024

Journal

Structural and Multidisciplinary Optimization Springer Verlag (Germany)

Book Volume: 67

Article Number: 67

Journal Issue: 5

DOI: 10.1007/s00158-024-03784-0

Abstract

This paper focuses on the topology optimization of a broadband acoustic transition section that connects two cylindrical waveguides with different radii. The primary objective is to design a transition section that maximizes the transmission of a planar acoustic wave while ensuring that the transmitted wave exhibits a planar shape. Helmholtz equation is used to model linear wave propagation in the device. We utilize the finite element method to solve the state equation on a structured mesh of square elements. Subsequently, a material distribution topology optimization problem is formulated to optimize the distribution of sound-hard material in the transition section. We employ two different gradient-based approaches to solve the optimization problem: namely, a deterministic approach using the method of moving asymptotes (MMA), and a stochastic approach utilizing both stochastic gradient (SG) and continuous stochastic gradient (CSG) methods. A comparative analysis is provided among these methodologies concerning the design feasibility and the transmission performance of the optimized designs, and the computational efficiency. The outcomes highlight the effectiveness of stochastic techniques in achieving enhanced broadband acoustic performance with reduced computational demands and improved design practicality. The insights from this investigation demonstrate the potential of stochastic approaches in acoustic applications, especially when broadband acoustic performance is desired.

Authors with CRIS profile

Andrian Uihlein Lehrstuhl für Angewandte Mathematik (Kontinuierliche Optimierung) Lukas Pflug Sonderforschungsbereich 814/3 Additive Fertigung

Involved external institutions

Umeå University SE Sweden (SE)

How to cite

APA:

Mousavi, A., Uihlein, A., Pflug, L., & Wadbro, E. (2024). Topology optimization of broadband acoustic transition section: a comparison between deterministic and stochastic approaches. Structural and Multidisciplinary Optimization, 67(5). https://doi.org/10.1007/s00158-024-03784-0

MLA:

Mousavi, Abbas, et al. "Topology optimization of broadband acoustic transition section: a comparison between deterministic and stochastic approaches." Structural and Multidisciplinary Optimization 67.5 (2024).

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