Application of partial areas method in the problem of sound radiation by a sphere in a waveguide with soft acoustically boundaries

The paper considers the features of the formation of an acoustic field by a spherical source with complicated properties in a regular plane-parallel waveguide, which is of practical importance in marine instrumentation and oceanographic research. The calculation algorithm is based on the use of the...

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Autores principales:	Oleksii Korzhyk, Sergey Naida, Tetiana Zheliaskova, Oleksander Chaika, Nikita Naida
Formato:	article
Lenguaje:	EN RU UK
Publicado:	PC Technology Center 2021
Materias:	acoustic field acoustic plane-parallel waveguide spherical source partial regions Technology (General) T1-995 Industry HD2321-4730.9
Acceso en línea:	https://doaj.org/article/16193ffe46604aab9d517a8cbaddfbb4
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id	oai:doaj.org-article:16193ffe46604aab9d517a8cbaddfbb4
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spelling	oai:doaj.org-article:16193ffe46604aab9d517a8cbaddfbb42021-11-08T08:04:06ZApplication of partial areas method in the problem of sound radiation by a sphere in a waveguide with soft acoustically boundaries1729-37741729-406110.15587/1729-4061.2021.243161https://doaj.org/article/16193ffe46604aab9d517a8cbaddfbb42021-10-01T00:00:00Zhttp://journals.uran.ua/eejet/article/view/243161https://doaj.org/toc/1729-3774https://doaj.org/toc/1729-4061The paper considers the features of the formation of an acoustic field by a spherical source with complicated properties in a regular plane-parallel waveguide, which is of practical importance in marine instrumentation and oceanographic research. The calculation algorithm is based on the use of the Helmholtz equation and the Fourier method for each partial region and the conjugation conditions on their boundaries. The presented calculation allows one to get rid of the idealized boundary conditions on the source surface, with the subsequent determination of the excitation coefficients of the waveguide modes within the framework of the Sturm-Liouville problem. In this case, the attraction of the boundary conditions on the surface and the bottom of the sea, as well as the Sommerfeld conditions, makes it possible to obtain the real distribution of the field in the vertical sections of the waveguide. The obtained frequency dependences of the pressure and vibrational velocity components show their amplitude-phase differences, which reach 90 degrees, which partially explains the appearance of singular points in the intensity field in a regular waveguide. It has been determined that multiple reflections of sound waves from the boundaries of the working space and the space of the waveguide cause oscillations of the pressure components with a change in the amplitude level up to 6 dB. It was found that with an increase in the size of the source, a kind of resonance is formed in the working space, the frequency of which depends on the depth of the sea and corresponds to the region kr=x=5.8. It was found that when the acoustic field is formed in the working space, the frequency response of the impedance components is represented as a multiresonant dependence formed on the basis of the frequency characteristics of the lower modes and their combinations. Experimental studies have shown that the results of calculations of the mode composition of the acoustic field of the emitter, obtained in the conditions of the pool, correspond to the spatial characteristics of the mode components of the acoustic field with an error of up to 3 dBOleksii KorzhykSergey NaidaTetiana ZheliaskovaOleksander ChaikaNikita NaidaPC Technology Centerarticleacoustic fieldacoustic plane-parallel waveguidespherical sourcepartial regionsTechnology (General)T1-995IndustryHD2321-4730.9ENRUUKEastern-European Journal of Enterprise Technologies, Vol 5, Iss 5 (113), Pp 62-79 (2021)
institution	DOAJ
collection	DOAJ
language	EN RU UK
topic	acoustic field acoustic plane-parallel waveguide spherical source partial regions Technology (General) T1-995 Industry HD2321-4730.9
spellingShingle	acoustic field acoustic plane-parallel waveguide spherical source partial regions Technology (General) T1-995 Industry HD2321-4730.9 Oleksii Korzhyk Sergey Naida Tetiana Zheliaskova Oleksander Chaika Nikita Naida Application of partial areas method in the problem of sound radiation by a sphere in a waveguide with soft acoustically boundaries
description	The paper considers the features of the formation of an acoustic field by a spherical source with complicated properties in a regular plane-parallel waveguide, which is of practical importance in marine instrumentation and oceanographic research. The calculation algorithm is based on the use of the Helmholtz equation and the Fourier method for each partial region and the conjugation conditions on their boundaries. The presented calculation allows one to get rid of the idealized boundary conditions on the source surface, with the subsequent determination of the excitation coefficients of the waveguide modes within the framework of the Sturm-Liouville problem. In this case, the attraction of the boundary conditions on the surface and the bottom of the sea, as well as the Sommerfeld conditions, makes it possible to obtain the real distribution of the field in the vertical sections of the waveguide. The obtained frequency dependences of the pressure and vibrational velocity components show their amplitude-phase differences, which reach 90 degrees, which partially explains the appearance of singular points in the intensity field in a regular waveguide. It has been determined that multiple reflections of sound waves from the boundaries of the working space and the space of the waveguide cause oscillations of the pressure components with a change in the amplitude level up to 6 dB. It was found that with an increase in the size of the source, a kind of resonance is formed in the working space, the frequency of which depends on the depth of the sea and corresponds to the region kr=x=5.8. It was found that when the acoustic field is formed in the working space, the frequency response of the impedance components is represented as a multiresonant dependence formed on the basis of the frequency characteristics of the lower modes and their combinations. Experimental studies have shown that the results of calculations of the mode composition of the acoustic field of the emitter, obtained in the conditions of the pool, correspond to the spatial characteristics of the mode components of the acoustic field with an error of up to 3 dB
format	article
author	Oleksii Korzhyk Sergey Naida Tetiana Zheliaskova Oleksander Chaika Nikita Naida
author_facet	Oleksii Korzhyk Sergey Naida Tetiana Zheliaskova Oleksander Chaika Nikita Naida
author_sort	Oleksii Korzhyk
title	Application of partial areas method in the problem of sound radiation by a sphere in a waveguide with soft acoustically boundaries
title_short	Application of partial areas method in the problem of sound radiation by a sphere in a waveguide with soft acoustically boundaries
title_full	Application of partial areas method in the problem of sound radiation by a sphere in a waveguide with soft acoustically boundaries
title_fullStr	Application of partial areas method in the problem of sound radiation by a sphere in a waveguide with soft acoustically boundaries
title_full_unstemmed	Application of partial areas method in the problem of sound radiation by a sphere in a waveguide with soft acoustically boundaries
title_sort	application of partial areas method in the problem of sound radiation by a sphere in a waveguide with soft acoustically boundaries
publisher	PC Technology Center
publishDate	2021
url	https://doaj.org/article/16193ffe46604aab9d517a8cbaddfbb4
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Application of partial areas method in the problem of sound radiation by a sphere in a waveguide with soft acoustically boundaries

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