Coupling of numerical and statistical methods in acoustics

Problems in the field of vibroacoustics can be modelled in two fundamental ways. On the one hand, they can be addressed in a deterministic way, using numerical methods like the Finite Element Method. On the other hand, statistical methods such as SEA (Statistical Energy Analysis) can be used. Numeri...

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Author: Díaz Cereceda, Cristina
Format: master thesis
Publication Date:2010
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2099.1/12364
Online Access:https://hdl.handle.net/2099.1/12364
Access Level:Open access
Keyword:Modal analysis
Finite element method
vibroacoustics
statistical energy analysis
modal analysis
coupling loss factor
Vibroacústica
Anàlisi modal
Elements finits, Mètode dels
Àrees temàtiques de la UPC::Enginyeria civil
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spelling Coupling of numerical and statistical methods in acousticsDíaz Cereceda, CristinaModal analysisFinite element methodvibroacousticsstatistical energy analysismodal analysiscoupling loss factorVibroacústicaAnàlisi modalElements finits, Mètode delsÀrees temàtiques de la UPC::Enginyeria civilProblems in the field of vibroacoustics can be modelled in two fundamental ways. On the one hand, they can be addressed in a deterministic way, using numerical methods like the Finite Element Method. On the other hand, statistical methods such as SEA (Statistical Energy Analysis) can be used. Numerical methods are useful for cases with complex geometries but imply a high computational cost for the calculation at high frequencies, especially when working in large domains. They also provide detailed vibration and pressure fields, which are not required by acoustic regulations since they only consider averaged values. Statistical methods are suitable for high frequencies. They deal directly with averaged energies but require specific parameters of power transmission, like internal loss factors and coupling loss factors, whose values can not be calculated analytically for complex geometries. In this work both techniques are coupled so that necessary parameters for the SEA are obtained using a deterministic analysis. In the deterministic approach the Galerkin formulation is used to solve the dynamic problem in its weak form, with the eigenfunctions of the structural elements as the bases of functions used to express the vibration field. Then, a study of the different ways of estimating the coupling loss factor between two subsystems once the deterministic results are obtained is presented, with a discussion of their advantages and disadvantages. The described technique is applied to estimate the coupling loss factors in different configurations consisting of two plates connected with different devices. The obtained results are compared with existing approximated expressions and the good performance of the method is verified. Moreover, the estimated parameters are used to solve larger and more complex systems with SEA. Their results and computational costs are compared with those of the numerical solutions of the same problems. Obtained results differ slightly depending on the technique used for the estimation of the coupling loss factor but provide good trends in general. Therefore, this study shows the potential of combining the deterministic approach (and numerical methods) with the statistical approach in order to solve realistic vibroacoustic problems in the whole frequency range, stressing the differences between the various ways of estimating the coupling loss factor.Universitat Politècnica de CatalunyaPoblet-Puig, JordiRodríguez Ferran, Antonio20102010-01-1020112011-06-30master thesishttp://purl.org/coar/resource_type/c_bdccNAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/masterThesisapplication/ziphttps://hdl.handle.net/2099.1/12364reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2099.1/123642026-05-27T15:37:01Z
dc.title.none.fl_str_mv Coupling of numerical and statistical methods in acoustics
title Coupling of numerical and statistical methods in acoustics
spellingShingle Coupling of numerical and statistical methods in acoustics
Díaz Cereceda, Cristina
Modal analysis
Finite element method
vibroacoustics
statistical energy analysis
modal analysis
coupling loss factor
Vibroacústica
Anàlisi modal
Elements finits, Mètode dels
Àrees temàtiques de la UPC::Enginyeria civil
title_short Coupling of numerical and statistical methods in acoustics
title_full Coupling of numerical and statistical methods in acoustics
title_fullStr Coupling of numerical and statistical methods in acoustics
title_full_unstemmed Coupling of numerical and statistical methods in acoustics
title_sort Coupling of numerical and statistical methods in acoustics
dc.creator.none.fl_str_mv Díaz Cereceda, Cristina
author Díaz Cereceda, Cristina
author_facet Díaz Cereceda, Cristina
author_role author
dc.contributor.none.fl_str_mv Poblet-Puig, Jordi
Rodríguez Ferran, Antonio
dc.subject.none.fl_str_mv Modal analysis
Finite element method
vibroacoustics
statistical energy analysis
modal analysis
coupling loss factor
Vibroacústica
Anàlisi modal
Elements finits, Mètode dels
Àrees temàtiques de la UPC::Enginyeria civil
topic Modal analysis
Finite element method
vibroacoustics
statistical energy analysis
modal analysis
coupling loss factor
Vibroacústica
Anàlisi modal
Elements finits, Mètode dels
Àrees temàtiques de la UPC::Enginyeria civil
description Problems in the field of vibroacoustics can be modelled in two fundamental ways. On the one hand, they can be addressed in a deterministic way, using numerical methods like the Finite Element Method. On the other hand, statistical methods such as SEA (Statistical Energy Analysis) can be used. Numerical methods are useful for cases with complex geometries but imply a high computational cost for the calculation at high frequencies, especially when working in large domains. They also provide detailed vibration and pressure fields, which are not required by acoustic regulations since they only consider averaged values. Statistical methods are suitable for high frequencies. They deal directly with averaged energies but require specific parameters of power transmission, like internal loss factors and coupling loss factors, whose values can not be calculated analytically for complex geometries. In this work both techniques are coupled so that necessary parameters for the SEA are obtained using a deterministic analysis. In the deterministic approach the Galerkin formulation is used to solve the dynamic problem in its weak form, with the eigenfunctions of the structural elements as the bases of functions used to express the vibration field. Then, a study of the different ways of estimating the coupling loss factor between two subsystems once the deterministic results are obtained is presented, with a discussion of their advantages and disadvantages. The described technique is applied to estimate the coupling loss factors in different configurations consisting of two plates connected with different devices. The obtained results are compared with existing approximated expressions and the good performance of the method is verified. Moreover, the estimated parameters are used to solve larger and more complex systems with SEA. Their results and computational costs are compared with those of the numerical solutions of the same problems. Obtained results differ slightly depending on the technique used for the estimation of the coupling loss factor but provide good trends in general. Therefore, this study shows the potential of combining the deterministic approach (and numerical methods) with the statistical approach in order to solve realistic vibroacoustic problems in the whole frequency range, stressing the differences between the various ways of estimating the coupling loss factor.
publishDate 2010
dc.date.none.fl_str_mv 2010
2010-01-10
2011
2011-06-30
dc.type.none.fl_str_mv master thesis
http://purl.org/coar/resource_type/c_bdcc
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
dc.identifier.none.fl_str_mv https://hdl.handle.net/2099.1/12364
url https://hdl.handle.net/2099.1/12364
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/zip
dc.publisher.none.fl_str_mv Universitat Politècnica de Catalunya
publisher.none.fl_str_mv Universitat Politècnica de Catalunya
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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