Avoidance of amplitude enlargement for lumped mass system by using delayed feedback based on continuum approximation
The vibration control of 5 degrees of freedom spring-mass system as a simple model of the five-layer building by applying delayed feedback force based on continuous system assumption was investigated. The followings are made clear. 1) By applying delayed feedback based on continuous system assumptio...
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| Format: | Article |
| Language: | Japanese |
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The Japan Society of Mechanical Engineers
2015-04-01
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| Series: | Nihon Kikai Gakkai ronbunshu |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/transjsme/81/825/81_14-00629/_pdf/-char/en |
| _version_ | 1828098800566140928 |
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| author | Akira HARADA |
| author_facet | Akira HARADA |
| author_sort | Akira HARADA |
| collection | DOAJ |
| description | The vibration control of 5 degrees of freedom spring-mass system as a simple model of the five-layer building by applying delayed feedback force based on continuous system assumption was investigated. The followings are made clear. 1) By applying delayed feedback based on continuous system assumption to a single d.o.f. system is equivalent to adding half-infinite system, and that virtual half-infinite system (VHIS) has characteristic of low pass filter. 2) By adding a support layer that has ten times smaller cut off frequency than the first layer, a clumped boundary become a quasi free boundary. By adding VHISs to both end in addition to adding the support layer, the amplitude enlargement is avoided as follows: (1) If the excitation frequency is lower than a lower cut off frequency among VHISs, the traveling wave passes through both end. Therefore, the standing wave doesn't occur. (2) If the excitation frequency is between a lower and a higher cut off frequency of VHISs, the traveling wave reflects at the end where the VHIS that have lower cut off frequency is attached, but the reflected traveling wave almost passes through at the other end. Therefore, the standing wave is occurred, but the amplitude of the standing wave doesn't enlarge. |
| first_indexed | 2024-04-11T08:07:37Z |
| format | Article |
| id | doaj.art-fc0d41dd2fac468f915fe14ed0bb47f5 |
| institution | Directory Open Access Journal |
| issn | 2187-9761 |
| language | Japanese |
| last_indexed | 2024-04-11T08:07:37Z |
| publishDate | 2015-04-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Nihon Kikai Gakkai ronbunshu |
| spelling | doaj.art-fc0d41dd2fac468f915fe14ed0bb47f52022-12-22T04:35:29ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612015-04-018182514-0062914-0062910.1299/transjsme.14-00629transjsmeAvoidance of amplitude enlargement for lumped mass system by using delayed feedback based on continuum approximationAkira HARADA0Division of System Science, Graduate School of Engineering, NAGASAKI UniversityThe vibration control of 5 degrees of freedom spring-mass system as a simple model of the five-layer building by applying delayed feedback force based on continuous system assumption was investigated. The followings are made clear. 1) By applying delayed feedback based on continuous system assumption to a single d.o.f. system is equivalent to adding half-infinite system, and that virtual half-infinite system (VHIS) has characteristic of low pass filter. 2) By adding a support layer that has ten times smaller cut off frequency than the first layer, a clumped boundary become a quasi free boundary. By adding VHISs to both end in addition to adding the support layer, the amplitude enlargement is avoided as follows: (1) If the excitation frequency is lower than a lower cut off frequency among VHISs, the traveling wave passes through both end. Therefore, the standing wave doesn't occur. (2) If the excitation frequency is between a lower and a higher cut off frequency of VHISs, the traveling wave reflects at the end where the VHIS that have lower cut off frequency is attached, but the reflected traveling wave almost passes through at the other end. Therefore, the standing wave is occurred, but the amplitude of the standing wave doesn't enlarge.https://www.jstage.jst.go.jp/article/transjsme/81/825/81_14-00629/_pdf/-char/enforced vibrationvibration controlvibration isolationactive wave control |
| spellingShingle | Akira HARADA Avoidance of amplitude enlargement for lumped mass system by using delayed feedback based on continuum approximation Nihon Kikai Gakkai ronbunshu forced vibration vibration control vibration isolation active wave control |
| title | Avoidance of amplitude enlargement for lumped mass system by using delayed feedback based on continuum approximation |
| title_full | Avoidance of amplitude enlargement for lumped mass system by using delayed feedback based on continuum approximation |
| title_fullStr | Avoidance of amplitude enlargement for lumped mass system by using delayed feedback based on continuum approximation |
| title_full_unstemmed | Avoidance of amplitude enlargement for lumped mass system by using delayed feedback based on continuum approximation |
| title_short | Avoidance of amplitude enlargement for lumped mass system by using delayed feedback based on continuum approximation |
| title_sort | avoidance of amplitude enlargement for lumped mass system by using delayed feedback based on continuum approximation |
| topic | forced vibration vibration control vibration isolation active wave control |
| url | https://www.jstage.jst.go.jp/article/transjsme/81/825/81_14-00629/_pdf/-char/en |
| work_keys_str_mv | AT akiraharada avoidanceofamplitudeenlargementforlumpedmasssystembyusingdelayedfeedbackbasedoncontinuumapproximation |