Wave analysis and control of two-dimensionally connected damped mass-spring systems (Analysis based on analytic properties of secondary constants)
This paper considers wave analysis and control of two-dimensionally connected damped mass-spring systems, focusing on the properties of the secondary constants as an analytic function of the Laplace transform variable s. Mass motion in the longitudinal direction is considered. The system can be view...
| Main Authors: | , |
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| Format: | Article |
| Language: | Japanese |
| Published: |
The Japan Society of Mechanical Engineers
2021-10-01
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| Series: | Nihon Kikai Gakkai ronbunshu |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/transjsme/87/902/87_21-00228/_pdf/-char/en |
| _version_ | 1811308609516077056 |
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| author | Kenji NAGASE Kunio TANIUCHI |
| author_facet | Kenji NAGASE Kunio TANIUCHI |
| author_sort | Kenji NAGASE |
| collection | DOAJ |
| description | This paper considers wave analysis and control of two-dimensionally connected damped mass-spring systems, focusing on the properties of the secondary constants as an analytic function of the Laplace transform variable s. Mass motion in the longitudinal direction is considered. The system can be viewed as a cascade connection of layers comprising the lateral direction elements. The dynamics can be described by a first order recurrence formula in the Laplace transform domain. We show that the characteristic polynomial of the coefficient matrix can be decomposed into second order polynomials, which reveals analyticity of the secondary constants in the open right-half plane, as well as the separation property of the propagation constants and the positive real property of the characteristic admittances. These properties justify the harmonic analysis in the wave analysis and guarantee the closed loop stability of the impedance matching controller. Numerical examples illustrate the derived results and show effectiveness for vibration control. |
| first_indexed | 2024-04-13T09:27:24Z |
| format | Article |
| id | doaj.art-1c6857ec5f254f2cb27bccae82cb08a3 |
| institution | Directory Open Access Journal |
| issn | 2187-9761 |
| language | Japanese |
| last_indexed | 2024-04-13T09:27:24Z |
| publishDate | 2021-10-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Nihon Kikai Gakkai ronbunshu |
| spelling | doaj.art-1c6857ec5f254f2cb27bccae82cb08a32022-12-22T02:52:23ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612021-10-018790221-0022821-0022810.1299/transjsme.21-00228transjsmeWave analysis and control of two-dimensionally connected damped mass-spring systems (Analysis based on analytic properties of secondary constants)Kenji NAGASE0Kunio TANIUCHI1Faculty of Systems Engineering, Wakayama UniversityGraduate School of Systems Engineering, Wakayama UniversityThis paper considers wave analysis and control of two-dimensionally connected damped mass-spring systems, focusing on the properties of the secondary constants as an analytic function of the Laplace transform variable s. Mass motion in the longitudinal direction is considered. The system can be viewed as a cascade connection of layers comprising the lateral direction elements. The dynamics can be described by a first order recurrence formula in the Laplace transform domain. We show that the characteristic polynomial of the coefficient matrix can be decomposed into second order polynomials, which reveals analyticity of the secondary constants in the open right-half plane, as well as the separation property of the propagation constants and the positive real property of the characteristic admittances. These properties justify the harmonic analysis in the wave analysis and guarantee the closed loop stability of the impedance matching controller. Numerical examples illustrate the derived results and show effectiveness for vibration control.https://www.jstage.jst.go.jp/article/transjsme/87/902/87_21-00228/_pdf/-char/envibration controlwave analysis and controlimpedance matchingdamped mass-spring systemtwo-dimensional vibrationmulti-coupled periodic system |
| spellingShingle | Kenji NAGASE Kunio TANIUCHI Wave analysis and control of two-dimensionally connected damped mass-spring systems (Analysis based on analytic properties of secondary constants) Nihon Kikai Gakkai ronbunshu vibration control wave analysis and control impedance matching damped mass-spring system two-dimensional vibration multi-coupled periodic system |
| title | Wave analysis and control of two-dimensionally connected damped mass-spring systems (Analysis based on analytic properties of secondary constants) |
| title_full | Wave analysis and control of two-dimensionally connected damped mass-spring systems (Analysis based on analytic properties of secondary constants) |
| title_fullStr | Wave analysis and control of two-dimensionally connected damped mass-spring systems (Analysis based on analytic properties of secondary constants) |
| title_full_unstemmed | Wave analysis and control of two-dimensionally connected damped mass-spring systems (Analysis based on analytic properties of secondary constants) |
| title_short | Wave analysis and control of two-dimensionally connected damped mass-spring systems (Analysis based on analytic properties of secondary constants) |
| title_sort | wave analysis and control of two dimensionally connected damped mass spring systems analysis based on analytic properties of secondary constants |
| topic | vibration control wave analysis and control impedance matching damped mass-spring system two-dimensional vibration multi-coupled periodic system |
| url | https://www.jstage.jst.go.jp/article/transjsme/87/902/87_21-00228/_pdf/-char/en |
| work_keys_str_mv | AT kenjinagase waveanalysisandcontroloftwodimensionallyconnecteddampedmassspringsystemsanalysisbasedonanalyticpropertiesofsecondaryconstants AT kuniotaniuchi waveanalysisandcontroloftwodimensionallyconnecteddampedmassspringsystemsanalysisbasedonanalyticpropertiesofsecondaryconstants |