Acoustic Radiation of a Beam Subjected to Transverse Load

In this paper, the dynamic response of a Euler–Bernoulli beam subjected to transverse harmonic forces is calculated. The method of separation of variables combined with the mode shape superposition method, which includes the determination of eigenvalues, is used to define the velocity field of the b...

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Main Authors: Ante Skoblar, Goranka Štimac Rončević, Domagoj Lanc, Sanjin Braut
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Acoustics
Subjects:
Online Access:https://www.mdpi.com/2624-599X/5/2/27
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author Ante Skoblar
Goranka Štimac Rončević
Domagoj Lanc
Sanjin Braut
author_facet Ante Skoblar
Goranka Štimac Rončević
Domagoj Lanc
Sanjin Braut
author_sort Ante Skoblar
collection DOAJ
description In this paper, the dynamic response of a Euler–Bernoulli beam subjected to transverse harmonic forces is calculated. The method of separation of variables combined with the mode shape superposition method, which includes the determination of eigenvalues, is used to define the velocity field of the beam surface. The Rayleigh integral was used to calculate the sound radiation and the beam was placed in an infinite baffle. Additional actuators are introduced in order to minimize the sound radiation, or, more specifically, the total sound power level of the vibrating beam, and their optimal position and force amplitude are determined; the conclusions were drawn from the optimization results. This paper proposes a method for faster determination of the optimal actuator parameters in order to achieve the minimum total sound power level. The validity of the obtained results is demonstrated with examples, whose solutions are compared to the results in the published literature.
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spelling doaj.art-90002f6cb197435a83f5a40cb6f17eed2023-11-18T08:48:18ZengMDPI AGAcoustics2624-599X2023-05-015246247510.3390/acoustics5020027Acoustic Radiation of a Beam Subjected to Transverse LoadAnte Skoblar0Goranka Štimac Rončević1Domagoj Lanc2Sanjin Braut3Department of Engineering Mechanics, Faculty of Engineering, University of Rijeka, 51000 Rijeka, CroatiaDepartment of Engineering Mechanics, Faculty of Engineering, University of Rijeka, 51000 Rijeka, CroatiaDepartment of Engineering Mechanics, Faculty of Engineering, University of Rijeka, 51000 Rijeka, CroatiaDepartment of Engineering Mechanics, Faculty of Engineering, University of Rijeka, 51000 Rijeka, CroatiaIn this paper, the dynamic response of a Euler–Bernoulli beam subjected to transverse harmonic forces is calculated. The method of separation of variables combined with the mode shape superposition method, which includes the determination of eigenvalues, is used to define the velocity field of the beam surface. The Rayleigh integral was used to calculate the sound radiation and the beam was placed in an infinite baffle. Additional actuators are introduced in order to minimize the sound radiation, or, more specifically, the total sound power level of the vibrating beam, and their optimal position and force amplitude are determined; the conclusions were drawn from the optimization results. This paper proposes a method for faster determination of the optimal actuator parameters in order to achieve the minimum total sound power level. The validity of the obtained results is demonstrated with examples, whose solutions are compared to the results in the published literature.https://www.mdpi.com/2624-599X/5/2/27dynamic responseEuler–Bernoulli beamminimization of acoustic radiationactuators
spellingShingle Ante Skoblar
Goranka Štimac Rončević
Domagoj Lanc
Sanjin Braut
Acoustic Radiation of a Beam Subjected to Transverse Load
Acoustics
dynamic response
Euler–Bernoulli beam
minimization of acoustic radiation
actuators
title Acoustic Radiation of a Beam Subjected to Transverse Load
title_full Acoustic Radiation of a Beam Subjected to Transverse Load
title_fullStr Acoustic Radiation of a Beam Subjected to Transverse Load
title_full_unstemmed Acoustic Radiation of a Beam Subjected to Transverse Load
title_short Acoustic Radiation of a Beam Subjected to Transverse Load
title_sort acoustic radiation of a beam subjected to transverse load
topic dynamic response
Euler–Bernoulli beam
minimization of acoustic radiation
actuators
url https://www.mdpi.com/2624-599X/5/2/27
work_keys_str_mv AT anteskoblar acousticradiationofabeamsubjectedtotransverseload
AT gorankastimacroncevic acousticradiationofabeamsubjectedtotransverseload
AT domagojlanc acousticradiationofabeamsubjectedtotransverseload
AT sanjinbraut acousticradiationofabeamsubjectedtotransverseload