{"title":"Structures intelligentes pour le contrôle des bruits dans une tuyauterie","authors":"Philippe Destuynder","doi":"10.1016/S0764-4442(01)02154-1","DOIUrl":null,"url":null,"abstract":"<div><p>From a uni-dimensional model for acoustic waves in a flow duct, an analysis of the exact controllability of initial perturbations is suggested using the so-called HUM method of J.-L. Lions. Several restrictive hypothesis are required and the minimum delay necessary for an exact control is a function of the three following velocities: the one of the steady flow, and the two waves celerities in the flexible structure and in the flow. Then we discuss the possibility to use actuators in order to control the noise perturbations. The goal of the study is to evaluate a new technology for a noise insulator in an air conduct.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 10","pages":"Pages 961-966"},"PeriodicalIF":0.0000,"publicationDate":"2001-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02154-1","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0764444201021541","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
From a uni-dimensional model for acoustic waves in a flow duct, an analysis of the exact controllability of initial perturbations is suggested using the so-called HUM method of J.-L. Lions. Several restrictive hypothesis are required and the minimum delay necessary for an exact control is a function of the three following velocities: the one of the steady flow, and the two waves celerities in the flexible structure and in the flow. Then we discuss the possibility to use actuators in order to control the noise perturbations. The goal of the study is to evaluate a new technology for a noise insulator in an air conduct.