具有夹紧-夹紧-无夹紧边界条件的矩形薄板的边界控制

Toshimi Shimizu
{"title":"具有夹紧-夹紧-无夹紧边界条件的矩形薄板的边界控制","authors":"Toshimi Shimizu","doi":"10.23919/SICEISCS.2018.8330153","DOIUrl":null,"url":null,"abstract":"This paper investigates a boundary control aiming at vibration suppression for a Kirchhoff plate with clamped-clamped-clamped-free boundary conditions. We use the deflection, deflection rate, slope, and slope rate at the free edge as feedback signals and show that the closed-loop system is marginally stable by using the Lyapunov's direct method. Numerical simulations are carried out to demonstrate the performance of vibration suppression of the proposed controller. The simulation results illustrate that the boundary controller with relatively small feedback gains can suppress the vibration including high order vibration modes. In contrast, the boundary controller with extremely high gains changes the mode shapes of the closed-loop system and deteriorate the controller performance.","PeriodicalId":122301,"journal":{"name":"2018 SICE International Symposium on Control Systems (SICE ISCS)","volume":"28 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Boundary control of a thin rectangular plate with clamped-clamped-clamped-free boundary conditions\",\"authors\":\"Toshimi Shimizu\",\"doi\":\"10.23919/SICEISCS.2018.8330153\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper investigates a boundary control aiming at vibration suppression for a Kirchhoff plate with clamped-clamped-clamped-free boundary conditions. We use the deflection, deflection rate, slope, and slope rate at the free edge as feedback signals and show that the closed-loop system is marginally stable by using the Lyapunov's direct method. Numerical simulations are carried out to demonstrate the performance of vibration suppression of the proposed controller. The simulation results illustrate that the boundary controller with relatively small feedback gains can suppress the vibration including high order vibration modes. In contrast, the boundary controller with extremely high gains changes the mode shapes of the closed-loop system and deteriorate the controller performance.\",\"PeriodicalId\":122301,\"journal\":{\"name\":\"2018 SICE International Symposium on Control Systems (SICE ISCS)\",\"volume\":\"28 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-03-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 SICE International Symposium on Control Systems (SICE ISCS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23919/SICEISCS.2018.8330153\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 SICE International Symposium on Control Systems (SICE ISCS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/SICEISCS.2018.8330153","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

本文研究了具有夹紧-夹紧-无夹紧边界条件的Kirchhoff板的振动抑制边界控制。我们使用自由边缘的挠度、挠度率、斜率和斜率率作为反馈信号,并使用李亚普诺夫直接方法证明闭环系统是边际稳定的。通过数值仿真验证了所提控制器的抑振性能。仿真结果表明,具有较小反馈增益的边界控制器可以抑制高阶振动模态。而具有极高增益的边界控制器会改变闭环系统的模态振型,降低控制器的性能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Boundary control of a thin rectangular plate with clamped-clamped-clamped-free boundary conditions
This paper investigates a boundary control aiming at vibration suppression for a Kirchhoff plate with clamped-clamped-clamped-free boundary conditions. We use the deflection, deflection rate, slope, and slope rate at the free edge as feedback signals and show that the closed-loop system is marginally stable by using the Lyapunov's direct method. Numerical simulations are carried out to demonstrate the performance of vibration suppression of the proposed controller. The simulation results illustrate that the boundary controller with relatively small feedback gains can suppress the vibration including high order vibration modes. In contrast, the boundary controller with extremely high gains changes the mode shapes of the closed-loop system and deteriorate the controller performance.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信