A dual modal formulation for multiple flexural subsystems connected at a junction in energy-based models.
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| Title: | A dual modal formulation for multiple flexural subsystems connected at a junction in energy-based models. |
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| Authors: | Maxit, Laurent1 laurent.maxit@insa-lyon.fr, Guasch, Oriol1 oriol.guasch@salle.url.edu |
| Source: | Mechanical Systems & Signal Processing. Mar2019, Vol. 119, p457-470. 14p. |
| Subjects: | Coupling schemes, Statistical energy analysis, Flexural strength, Displacement (Mechanics), Frequencies of oscillating systems |
| Abstract: | Highlights • Revision of the modal coupling scheme of statistical energy analysis like models. • The modal coupling is not straightforward for multiple connected subsystems. • A displacement-stress dual formulation is proposed to tackle that situation. • A test case of a floor coupled to two walls at right angle is examined. • The dual formulation works fine for strong impedance mismatch between subsystems. Abstract Statistical energy methods in vibroacoustics, like the statistical energy analysis (SEA) or the statistical modal energy distribution analysis (SmEdA), rely on specific modal coupling assumptions (MCAs) between subsystem modes. These methods assume that the behavior of subsystem mode amplitudes mimic that of oscillators, that the modes within a subsystem are uncoupled, and that the coupling between two different subsystems only takes place through the interaction of resonant modes. In the case of more than two subsystems being connected at a junction, however, it becomes difficult to establish a modal interaction scheme for them. In SEA, the problem is avoided by resorting to the travelling wave approach instead of the modal one. Nevertheless, there is a need for other energy-based methods, like SmEdA, to deal with such a situation. In this work it is proposed to extend the displacement-stress dual formulation, originally intended for two subsystems, to the case of multiple flexural waveguides connected at a junction. Numerical results are presented for a test case consisting of a floor coupled to two walls at right angle. The fulfillment of the MCAs by the dual modal formulation is examined in terms of the impedance mismatch between the floor and the walls. [ABSTRACT FROM AUTHOR] |
| Copyright of Mechanical Systems & Signal Processing is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Items | – Name: Title Label: Title Group: Ti Data: A dual modal formulation for multiple flexural subsystems connected at a junction in energy-based models. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Maxit%2C+Laurent%22">Maxit, Laurent</searchLink><relatesTo>1</relatesTo><i> laurent.maxit@insa-lyon.fr</i><br /><searchLink fieldCode="AR" term="%22Guasch%2C+Oriol%22">Guasch, Oriol</searchLink><relatesTo>1</relatesTo><i> oriol.guasch@salle.url.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Mechanical+Systems+%26+Signal+Processing%22">Mechanical Systems & Signal Processing</searchLink>. Mar2019, Vol. 119, p457-470. 14p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Coupling+schemes%22">Coupling schemes</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+energy+analysis%22">Statistical energy analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Flexural+strength%22">Flexural strength</searchLink><br /><searchLink fieldCode="DE" term="%22Displacement+%28Mechanics%29%22">Displacement (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Frequencies+of+oscillating+systems%22">Frequencies of oscillating systems</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Highlights • Revision of the modal coupling scheme of statistical energy analysis like models. • The modal coupling is not straightforward for multiple connected subsystems. • A displacement-stress dual formulation is proposed to tackle that situation. • A test case of a floor coupled to two walls at right angle is examined. • The dual formulation works fine for strong impedance mismatch between subsystems. Abstract Statistical energy methods in vibroacoustics, like the statistical energy analysis (SEA) or the statistical modal energy distribution analysis (SmEdA), rely on specific modal coupling assumptions (MCAs) between subsystem modes. These methods assume that the behavior of subsystem mode amplitudes mimic that of oscillators, that the modes within a subsystem are uncoupled, and that the coupling between two different subsystems only takes place through the interaction of resonant modes. In the case of more than two subsystems being connected at a junction, however, it becomes difficult to establish a modal interaction scheme for them. In SEA, the problem is avoided by resorting to the travelling wave approach instead of the modal one. Nevertheless, there is a need for other energy-based methods, like SmEdA, to deal with such a situation. In this work it is proposed to extend the displacement-stress dual formulation, originally intended for two subsystems, to the case of multiple flexural waveguides connected at a junction. Numerical results are presented for a test case consisting of a floor coupled to two walls at right angle. The fulfillment of the MCAs by the dual modal formulation is examined in terms of the impedance mismatch between the floor and the walls. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Mechanical Systems & Signal Processing is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.ymssp.2018.09.038 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 14 StartPage: 457 Subjects: – SubjectFull: Coupling schemes Type: general – SubjectFull: Statistical energy analysis Type: general – SubjectFull: Flexural strength Type: general – SubjectFull: Displacement (Mechanics) Type: general – SubjectFull: Frequencies of oscillating systems Type: general Titles: – TitleFull: A dual modal formulation for multiple flexural subsystems connected at a junction in energy-based models. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Maxit, Laurent – PersonEntity: Name: NameFull: Guasch, Oriol IsPartOfRelationships: – BibEntity: Dates: – D: 15 M: 03 Text: Mar2019 Type: published Y: 2019 Identifiers: – Type: issn-print Value: 08883270 Numbering: – Type: volume Value: 119 Titles: – TitleFull: Mechanical Systems & Signal Processing Type: main |
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