Wave analysis and control of multiple cascade-connected damped mass-spring systems
This paper considers wave analysis and control of multiple cascade-connected damped mass spring systems. The systems are a general extension of the double cascade-connected case considered in our previous work. Formulas for the characteristic equation and eigen vectors of the coefficient matrix of t...
| Main Authors: | , |
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| Format: | Article |
| Language: | Japanese |
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The Japan Society of Mechanical Engineers
2019-05-01
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| Series: | Nihon Kikai Gakkai ronbunshu |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/transjsme/85/873/85_19-00054/_pdf/-char/en |
| _version_ | 1811221016337186816 |
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| author | Takuya MIDORO Kenji NAGASE |
| author_facet | Takuya MIDORO Kenji NAGASE |
| author_sort | Takuya MIDORO |
| collection | DOAJ |
| description | This paper considers wave analysis and control of multiple cascade-connected damped mass spring systems. The systems are a general extension of the double cascade-connected case considered in our previous work. Formulas for the characteristic equation and eigen vectors of the coefficient matrix of the recurrent formula are first derived. Properties of the secondary constants (propagation constants and characteristic admittances) as analytic functions are examined in detail next. Analyticity and some required properties of the propagation constants are discussed to justify the harmonic analysis in the wave analysis. Positive real property of the characteristic admittances is also discussed for the closed loop stability. A numerical example of the triple cascade-connected case is conducted to illustrate the derived results and show effectiveness of the impedance matching controller for vibration control. |
| first_indexed | 2024-04-12T07:51:35Z |
| format | Article |
| id | doaj.art-ab61961bbf4f49cab3332842af21b533 |
| institution | Directory Open Access Journal |
| issn | 2187-9761 |
| language | Japanese |
| last_indexed | 2024-04-12T07:51:35Z |
| publishDate | 2019-05-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Nihon Kikai Gakkai ronbunshu |
| spelling | doaj.art-ab61961bbf4f49cab3332842af21b5332022-12-22T03:41:35ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612019-05-018587319-0005419-0005410.1299/transjsme.19-00054transjsmeWave analysis and control of multiple cascade-connected damped mass-spring systemsTakuya MIDORO0Kenji NAGASE1Graduate School of Systems Engineering, Wakayama UniversityFaculty of Systems Engineering, Wakayama UniversityThis paper considers wave analysis and control of multiple cascade-connected damped mass spring systems. The systems are a general extension of the double cascade-connected case considered in our previous work. Formulas for the characteristic equation and eigen vectors of the coefficient matrix of the recurrent formula are first derived. Properties of the secondary constants (propagation constants and characteristic admittances) as analytic functions are examined in detail next. Analyticity and some required properties of the propagation constants are discussed to justify the harmonic analysis in the wave analysis. Positive real property of the characteristic admittances is also discussed for the closed loop stability. A numerical example of the triple cascade-connected case is conducted to illustrate the derived results and show effectiveness of the impedance matching controller for vibration control.https://www.jstage.jst.go.jp/article/transjsme/85/873/85_19-00054/_pdf/-char/envibration controlwave analysis and controldamped mass-spring systemimpedance matchingmultiple cascade-connection |
| spellingShingle | Takuya MIDORO Kenji NAGASE Wave analysis and control of multiple cascade-connected damped mass-spring systems Nihon Kikai Gakkai ronbunshu vibration control wave analysis and control damped mass-spring system impedance matching multiple cascade-connection |
| title | Wave analysis and control of multiple cascade-connected damped mass-spring systems |
| title_full | Wave analysis and control of multiple cascade-connected damped mass-spring systems |
| title_fullStr | Wave analysis and control of multiple cascade-connected damped mass-spring systems |
| title_full_unstemmed | Wave analysis and control of multiple cascade-connected damped mass-spring systems |
| title_short | Wave analysis and control of multiple cascade-connected damped mass-spring systems |
| title_sort | wave analysis and control of multiple cascade connected damped mass spring systems |
| topic | vibration control wave analysis and control damped mass-spring system impedance matching multiple cascade-connection |
| url | https://www.jstage.jst.go.jp/article/transjsme/85/873/85_19-00054/_pdf/-char/en |
| work_keys_str_mv | AT takuyamidoro waveanalysisandcontrolofmultiplecascadeconnecteddampedmassspringsystems AT kenjinagase waveanalysisandcontrolofmultiplecascadeconnecteddampedmassspringsystems |