Models of Acoustic Resonators in Studies of Sound-Absorbing Structures

This paper provides a comprehensive review of four primary models used to represent Helmholtz resonators in sound-absorbing structures. The purpose of the article is to analyze these models in the context of their application, accuracy, and suitability for different types of acoustic problems. The r...

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Main Author: Дмитро Дмитрович Разумов
Format: Article
Language:English
Published: Igor Sikorsky Kyiv Polytechnic Institute 2024-12-01
Series:Mìkrosistemi, Elektronìka ta Akustika
Subjects:
Online Access:https://elc.kpi.ua/article/view/314535
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author Дмитро Дмитрович Разумов
author_facet Дмитро Дмитрович Разумов
author_sort Дмитро Дмитрович Разумов
collection DOAJ
description This paper provides a comprehensive review of four primary models used to represent Helmholtz resonators in sound-absorbing structures. The purpose of the article is to analyze these models in the context of their application, accuracy, and suitability for different types of acoustic problems. The review focuses on: the simple harmonic oscillator model, which provides a basic yet effective approach for estimating resonance frequencies; the wave equation model, which is well-suited for complex geometries and wave propagation phenomena; the electrical analogy model, used to represent resonators in systems with multiple interacting elements; and the Finite Element Method (FEM), offering high precision for detailed simulations of complex acoustic systems. For each model, typical calculation problems are discussed to highlight their practical applications, along with examples from existing research. Additionally, the article provides recommendations for further development of these models. This review serves as a foundation for selecting appropriate modeling methods for various acoustic design challenges and offers guidance for future research in this field.
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spelling doaj-art-c6012ec3f71740419401c3be0eb2f9c92025-08-20T02:27:15ZengIgor Sikorsky Kyiv Polytechnic InstituteMìkrosistemi, Elektronìka ta Akustika2523-44472523-44552024-12-0129310.20535/2523-4455.mea.314535Models of Acoustic Resonators in Studies of Sound-Absorbing StructuresДмитро Дмитрович Разумов0National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”This paper provides a comprehensive review of four primary models used to represent Helmholtz resonators in sound-absorbing structures. The purpose of the article is to analyze these models in the context of their application, accuracy, and suitability for different types of acoustic problems. The review focuses on: the simple harmonic oscillator model, which provides a basic yet effective approach for estimating resonance frequencies; the wave equation model, which is well-suited for complex geometries and wave propagation phenomena; the electrical analogy model, used to represent resonators in systems with multiple interacting elements; and the Finite Element Method (FEM), offering high precision for detailed simulations of complex acoustic systems. For each model, typical calculation problems are discussed to highlight their practical applications, along with examples from existing research. Additionally, the article provides recommendations for further development of these models. This review serves as a foundation for selecting appropriate modeling methods for various acoustic design challenges and offers guidance for future research in this field. https://elc.kpi.ua/article/view/314535sound absorption coefficientHelmholtz resonatorresonator sound-absorbing structuresmathematical model
spellingShingle Дмитро Дмитрович Разумов
Models of Acoustic Resonators in Studies of Sound-Absorbing Structures
Mìkrosistemi, Elektronìka ta Akustika
sound absorption coefficient
Helmholtz resonator
resonator sound-absorbing structures
mathematical model
title Models of Acoustic Resonators in Studies of Sound-Absorbing Structures
title_full Models of Acoustic Resonators in Studies of Sound-Absorbing Structures
title_fullStr Models of Acoustic Resonators in Studies of Sound-Absorbing Structures
title_full_unstemmed Models of Acoustic Resonators in Studies of Sound-Absorbing Structures
title_short Models of Acoustic Resonators in Studies of Sound-Absorbing Structures
title_sort models of acoustic resonators in studies of sound absorbing structures
topic sound absorption coefficient
Helmholtz resonator
resonator sound-absorbing structures
mathematical model
url https://elc.kpi.ua/article/view/314535
work_keys_str_mv AT dmitrodmitrovičrazumov modelsofacousticresonatorsinstudiesofsoundabsorbingstructures