دورية أكاديمية
Topology optimization of broadband acoustic transition section : a comparison between deterministic and stochastic approaches
| العنوان: | Topology optimization of broadband acoustic transition section : a comparison between deterministic and stochastic approaches |
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| المؤلفون: | Mousavi, Abbas, Uihlein, Andrian, Pflug, Lukas, Wadbro, Eddie |
| بيانات النشر: | Karlstads universitet, Institutionen för matematik och datavetenskap (from 2013) UmeÃ¥ University, Sweden Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Germany |
| سنة النشر: | 2024 |
| المجموعة: | Karlstad University: Publications |
| مصطلحات موضوعية: | Acoustic wave propagation, Acoustics, Computational efficiency, Equations of state, Stochastic systems, Topology, Acoustic performance, Acoustic transition section, Broadband acoustics, Deterministic approach, Material distribution approaches, Optimization problems, Stochastic approach, Stochastic methods, Topology optimisation, Transition sections, Shape optimization, Fluid Mechanics and Acoustics, Strömningsmekanik och akustik, Computational Mathematics, Beräkningsmatematik |
| الوصف: | 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. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| العلاقة: | Structural and multidisciplinary optimization (Print), 1615-147X, 2024, 67:5; orcid:0000-0001-8704-9584; http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-100242Test; Scopus 2-s2.0-85193022139 |
| DOI: | 10.1007/s00158-024-03784-0 |
| الإتاحة: | https://doi.org/10.1007/s00158-024-03784-0Test http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-100242Test |
| حقوق: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.B04EA758 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1007/s00158-024-03784-0 |
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