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Energy-based reformulated Craig-Bampton method for multiple flexural subsystems connected at a junction with low impedance mismatch.

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Title: Energy-based reformulated Craig-Bampton method for multiple flexural subsystems connected at a junction with low impedance mismatch.
Authors: Maxit, Laurent1 laurent.maxit@insa-lyon.fr, Guasch, Oriol1 oriol.guasch@salle.url.edu
Source: Mechanical Systems & Signal Processing. Mar2019, Vol. 119, p471-485. 15p.
Subjects: Mechanical impedance, Statistical energy analysis, Modal analysis, Displacement (Mechanics), Coupling schemes, Finite element method
Abstract: Highlights • Statistical energy analysis like methods rely on a specific modal coupling scheme. • The modal coupling is difficult to establish for multiple connected subsystems. • The dual formulation fails for multiple subsystems with low impedance mismatch. • A reformulated Craig-Bampton method is proposed for that situation. • The influence of non-resonant coupling modes cannot be totally discarded. Abstract Whereas the coupling between modes of two different subsystems is well-resolved in vibroacoustic energy-based methods, the situation becomes more intricate when several subsystems get connected at a common junction. In statistical energy analysis (SEA), the modal formulation is replaced by the travelling wave approach to solve the problem. However, this is not a viable option for other energy-based methods, like the statistical modal energy distribution analysis (SmEdA), and a modal coupling scheme is required for them. If there is a strong impedance mismatch between the multiple connected subsystems, the displacement-stress dual formulation offers a proper way to address the situation. Unfortunately, the latter fails if all involved subsystems have similar stiffness. In this work, the feasibility of the Craig-Bampton (CB) method to address such circumstance is explored. It is shown that the original CB technique does not fulfill the modal coupling assumptions of energy-based methods, so it is suggested to reformulate it to partially mitigate the problem. Numerical tests on a benchmark test are carried out to validate the proposal. The benchmark consists of a floor coupled with two walls at right angle, and it is analyzed for different impedance mismatch conditions. [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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  Data: Energy-based reformulated Craig-Bampton method for multiple flexural subsystems connected at a junction with low impedance mismatch.
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  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>
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  Data: <searchLink fieldCode="JN" term="%22Mechanical+Systems+%26+Signal+Processing%22">Mechanical Systems & Signal Processing</searchLink>. Mar2019, Vol. 119, p471-485. 15p.
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  Data: <searchLink fieldCode="DE" term="%22Mechanical+impedance%22">Mechanical impedance</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+energy+analysis%22">Statistical energy analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Modal+analysis%22">Modal analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Displacement+%28Mechanics%29%22">Displacement (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Coupling+schemes%22">Coupling schemes</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink>
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  Data: Highlights • Statistical energy analysis like methods rely on a specific modal coupling scheme. • The modal coupling is difficult to establish for multiple connected subsystems. • The dual formulation fails for multiple subsystems with low impedance mismatch. • A reformulated Craig-Bampton method is proposed for that situation. • The influence of non-resonant coupling modes cannot be totally discarded. Abstract Whereas the coupling between modes of two different subsystems is well-resolved in vibroacoustic energy-based methods, the situation becomes more intricate when several subsystems get connected at a common junction. In statistical energy analysis (SEA), the modal formulation is replaced by the travelling wave approach to solve the problem. However, this is not a viable option for other energy-based methods, like the statistical modal energy distribution analysis (SmEdA), and a modal coupling scheme is required for them. If there is a strong impedance mismatch between the multiple connected subsystems, the displacement-stress dual formulation offers a proper way to address the situation. Unfortunately, the latter fails if all involved subsystems have similar stiffness. In this work, the feasibility of the Craig-Bampton (CB) method to address such circumstance is explored. It is shown that the original CB technique does not fulfill the modal coupling assumptions of energy-based methods, so it is suggested to reformulate it to partially mitigate the problem. Numerical tests on a benchmark test are carried out to validate the proposal. The benchmark consists of a floor coupled with two walls at right angle, and it is analyzed for different impedance mismatch conditions. [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:
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        Value: 10.1016/j.ymssp.2018.09.039
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      – Code: eng
        Text: English
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        PageCount: 15
        StartPage: 471
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      – SubjectFull: Mechanical impedance
        Type: general
      – SubjectFull: Statistical energy analysis
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      – SubjectFull: Modal analysis
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      – SubjectFull: Displacement (Mechanics)
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      – SubjectFull: Coupling schemes
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              Text: Mar2019
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