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A numerical method of solving the problem of acoustic wave radiation in the presence of a rigid scatterer is described. It combines the finite element method and the boundary algebraic equations. In the proposed method, the exterior domain…

数值分析 · 计算机科学 2018-05-18 J. Poblet-Puig , A. V. Shanin

The focus of this article is on shape and topology optimization of transient vibroacoustic problems. The main contribution is a transient problem formulation that enables optimization over wide ranges of frequencies with complex signals,…

最优化与控制 · 数学 2023-06-28 Cetin B. Dilgen , Niels Aage

This study proposes a level set-based topology optimization method for designing acoustic structures with viscous and thermal boundary layers in perspective. Acoustic waves propagating in a narrow channel are damped by viscous and thermal…

计算工程、金融与科学 · 计算机科学 2022-03-31 Yuki Noguchi , Takayuki Yamada

Acoustic wave propagation through a homogeneous material embedded in an unbounded medium can be formulated as a boundary integral equation and accurately solved with the boundary element method. The computational efficiency deteriorates at…

数值分析 · 数学 2024-02-21 Elwin van 't Wout

We introduce a new numerical method for solving time-harmonic acoustic scattering problems. The main focus is on plane waves scattered by smoothly varying material inhomogeneities. The proposed method works for any frequency $\omega$, but…

数值分析 · 数学 2022-01-14 Anton Arnold , Sjoerd Geevers , Ilaria Perugia , Dmitry Ponomarev

Consider the scattering of a time-harmonic plane wave by a rigid obstacle embedded in a homogeneous and isotropic elastic medium in two dimensions. In this paper, a novel boundary integral formulation is proposed and its highly accurate…

数值分析 · 数学 2020-07-20 Heping Dong , Jun Lai , Peijun Li

In this paper we propose and analyse a hybrid numerical-asymptotic boundary element method for the solution of problems of high frequency acoustic scattering by a class of sound-soft nonconvex polygons. The approximation space is enriched…

数值分析 · 数学 2014-01-14 David P. Hewett , Simon N. Chandler-Wilde , Stephen Langdon , Ashley Twigger

Topological systems furnish a powerful way of localizing wave energy at edges of a structured material. Usually this relies on Bragg scattering to obtain bandgaps with nontrivial topological structures. However, this limits their…

A topology optimization method is presented for the design of periodic microstructured materials with prescribed homogenized nonlinear constitutive properties over finite strain ranges. The mechanical model assumes linear elastic isotropic…

计算工程、金融与科学 · 计算机科学 2020-05-20 Reza Behrou , Maroun Abi Ghanem , Brianna C. Macnider , Vimarsh Verma , Ryan Alvey , Jinho Hong , Ashley F. Emery , Hyunsun Alicia Kim , Nicholas Boechler

This paper studies a non-singular coupling scheme for solving the acoustic and elastic wave scattering problems and its extension to the problems of Laplace and Lam\'e equations and the problem with a compactly supported inhomogeneity is…

数值分析 · 数学 2023-12-27 Xiaojuan Liu , Maojun Li , Tao Yin

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 such that it maximizes the…

最优化与控制 · 数学 2023-10-10 Abbas Mousavi , Andrian Uihlein , Lukas Pflug , Eddie Wadbro

Mitigating low-frequency noise is particularly challenging due to its limited natural attenuation. This study aims to design viscoelastic composite microstructures that achieve both low acoustic reflection and high internal damping by…

应用物理 · 物理学 2025-11-06 Hiroaki Deguchi , Kei Matsushima , Takayuki Yamada

We present a density based topology optimization approach for the design of metallic microwave insert filters. A two-phase optimization procedure is proposed in which we, starting from a uniform design, first optimize to obtain a set of…

经典物理 · 物理学 2016-09-09 Niels Aage , Villads Egede Johansen

A numerical solver for the elastic wave eigenmodes in acoustic waveguides of inhomogeneous cross-section is presented. Operating under the assumptions of linear, isotropic materials, it utilizes a finite-difference method on a staggered…

应用物理 · 物理学 2017-12-15 Nathan Dostart , Yangyang Liu , Miloš A. Popović

In this paper, we propose a new nonuniform mesh method to simulate acoustic scattering problems in two dimensional periodic structures with non-periodic incident fields numerically. As existing methods are difficult to extend to higher…

数值分析 · 数学 2022-03-14 Tilo Arens , Ruming Zhang

This paper presents a structural optimisation method in three-dimensional acoustic-elastic coupled problems. The proposed optimisation method finds an optimal allocation of elastic materials which reduces the sound level on some fixed…

数值分析 · 数学 2016-12-21 Hiroshi Isakari , Toyohiro Kondo , Toru Takahashi , Toshiro Matsumoto

We propose a boundary element method for problems of time-harmonic acoustic scattering by multiple obstacles in two dimensions, at least one of which is a convex polygon. By combining a Hybrid Numerical Asymptotic (HNA) approximation space…

数值分析 · 数学 2020-02-27 Andrew Gibbs , Simon Chandler-Wilde , Stephen Langdon , Andrea Moiola

We solve acoustic scattering problems by means of the isogeometric boundary integral equation method. In order to avoid spurious modes, we apply the combined field integral equations for either sound-hard scatterers or sound-soft…

数值分析 · 数学 2023-06-21 Jürgen Dölz , Helmut Harbrecht , Michael Multerer

Optimized topology of bi-material acoustic metamaterial lattice plates is studied for maximized locally resonant bandgap of flexural guided waves. Optimized layout of the two relatively stiff and compliant material phases in the design…

经典物理 · 物理学 2016-11-22 Saeid Hedayatrasa , Kazem Abhary , Mohammad Uddin

This study presents an automated topology optimization framework for designing pentamode acoustic metamaterials. It provides precise control over the material effective acoustic properties while minimizing the shear modulus to achieve…

应用物理 · 物理学 2026-03-03 Sebastiano Cominelli , Matteo Pozzi , Francesco Braghin
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