Resonance frequency control using the rank-one perturbation of the self-compliance matrix at interface degrees of freedom
A design method of a strongly coupled vibration system is required for improving noise and vibration performance of machinery. One of the authors proposed that analysis of the self-compliance matrix at interface degrees of freedom between two systems, called as kernel compliance matrix, gives the in...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | Japanese |
| Published: |
The Japan Society of Mechanical Engineers
2019-12-01
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| Series: | Nihon Kikai Gakkai ronbunshu |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/transjsme/86/881/86_19-00163/_pdf/-char/en |
| _version_ | 1811220941619855360 |
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| author | Yuichi MATSUMURA Masashi KOMADA Masami MATSUBARA Ichiro KIDO |
| author_facet | Yuichi MATSUMURA Masashi KOMADA Masami MATSUBARA Ichiro KIDO |
| author_sort | Yuichi MATSUMURA |
| collection | DOAJ |
| description | A design method of a strongly coupled vibration system is required for improving noise and vibration performance of machinery. One of the authors proposed that analysis of the self-compliance matrix at interface degrees of freedom between two systems, called as kernel compliance matrix, gives the insight to work out satisfactory countermeasures for resonance frequency control of a strongly coupled vibration system. The approach, however, is only feasible for a two by two kernel compliance matrix. To expand this approach to an N by N kernel compliance matrix, a coordinate transform is available to reduce the matrix dimensions. However, the selection of the basis vector is not so easy. This paper presents a practical approach for the analysis of an N by N kernel compliance matrix. In this paper, it is shown that structural modification for resonance control can be derived using the Wedderburn’s rank-one perturbation of a kernel compliance matrix. Finally, this approach was verified by a numerical case study. |
| first_indexed | 2024-04-12T07:50:49Z |
| format | Article |
| id | doaj.art-2483e572c57c4afd80ebba38559ca765 |
| institution | Directory Open Access Journal |
| issn | 2187-9761 |
| language | Japanese |
| last_indexed | 2024-04-12T07:50:49Z |
| publishDate | 2019-12-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Nihon Kikai Gakkai ronbunshu |
| spelling | doaj.art-2483e572c57c4afd80ebba38559ca7652022-12-22T03:41:36ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612019-12-018688119-0016319-0016310.1299/transjsme.19-00163transjsmeResonance frequency control using the rank-one perturbation of the self-compliance matrix at interface degrees of freedomYuichi MATSUMURA0Masashi KOMADA1Masami MATSUBARA2Ichiro KIDO3Department of Mechanical Engineering, Gifu UniversityMechanical and Civil Engineering Division, Graduate School of Gifu UniversityDepartment of Mechanical Engineering, Toyohashi University of TechnologyDepartment of Mechanical Engineering, Gifu UniversityA design method of a strongly coupled vibration system is required for improving noise and vibration performance of machinery. One of the authors proposed that analysis of the self-compliance matrix at interface degrees of freedom between two systems, called as kernel compliance matrix, gives the insight to work out satisfactory countermeasures for resonance frequency control of a strongly coupled vibration system. The approach, however, is only feasible for a two by two kernel compliance matrix. To expand this approach to an N by N kernel compliance matrix, a coordinate transform is available to reduce the matrix dimensions. However, the selection of the basis vector is not so easy. This paper presents a practical approach for the analysis of an N by N kernel compliance matrix. In this paper, it is shown that structural modification for resonance control can be derived using the Wedderburn’s rank-one perturbation of a kernel compliance matrix. Finally, this approach was verified by a numerical case study.https://www.jstage.jst.go.jp/article/transjsme/86/881/86_19-00163/_pdf/-char/enstrongly coupled vibration systemmodal analysisresonancesubstructuringtransfer function |
| spellingShingle | Yuichi MATSUMURA Masashi KOMADA Masami MATSUBARA Ichiro KIDO Resonance frequency control using the rank-one perturbation of the self-compliance matrix at interface degrees of freedom Nihon Kikai Gakkai ronbunshu strongly coupled vibration system modal analysis resonance substructuring transfer function |
| title | Resonance frequency control using the rank-one perturbation of the self-compliance matrix at interface degrees of freedom |
| title_full | Resonance frequency control using the rank-one perturbation of the self-compliance matrix at interface degrees of freedom |
| title_fullStr | Resonance frequency control using the rank-one perturbation of the self-compliance matrix at interface degrees of freedom |
| title_full_unstemmed | Resonance frequency control using the rank-one perturbation of the self-compliance matrix at interface degrees of freedom |
| title_short | Resonance frequency control using the rank-one perturbation of the self-compliance matrix at interface degrees of freedom |
| title_sort | resonance frequency control using the rank one perturbation of the self compliance matrix at interface degrees of freedom |
| topic | strongly coupled vibration system modal analysis resonance substructuring transfer function |
| url | https://www.jstage.jst.go.jp/article/transjsme/86/881/86_19-00163/_pdf/-char/en |
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