Liquid Sloshing Damping in an Elastic Container

It is proposed to investigate in this paper the damped vibrations of an incompressible liquid contained in a deformable tank. A linearized formulation describing the small movements of the system is presented. At first, a diagonal damping is introduced in the reduced equations of the hydroelastic sl...

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Veröffentlicht in:	Journal of applied mechanics 2012-01, Vol.79 (1), p.1-8
Hauptverfasser:	Miras, Thomas, Schotté, Jean-Sébastien, Ohayon, Roger
Format:	Artikel
Sprache:	eng
Schlagworte:	Damping Engineering Sciences Exact sciences and technology Formability Fundamental areas of phenomenology (including applications) Liquids Mathematical analysis Mathematical models Mechanics Movements Physics Solid mechanics Structural and continuum mechanics Tanks Vibration Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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creator	Miras, Thomas Schotté, Jean-Sébastien Ohayon, Roger
description	It is proposed to investigate in this paper the damped vibrations of an incompressible liquid contained in a deformable tank. A linearized formulation describing the small movements of the system is presented. At first, a diagonal damping is introduced in the reduced equations of the hydroelastic sloshing problem. We obtain a nonclassically damped coupled system with a damping matrix that is not symmetric. Then, by projecting the system onto its complex modes, the frequency and time responses for different type of loads are built. A numerical application is illustrated on a test case.
doi_str_mv	10.1115/1.4005189
format	Article
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Appl. Mech</addtitle><description>It is proposed to investigate in this paper the damped vibrations of an incompressible liquid contained in a deformable tank. A linearized formulation describing the small movements of the system is presented. At first, a diagonal damping is introduced in the reduced equations of the hydroelastic sloshing problem. We obtain a nonclassically damped coupled system with a damping matrix that is not symmetric. Then, by projecting the system onto its complex modes, the frequency and time responses for different type of loads are built. A numerical application is illustrated on a test case.</description><subject>Damping</subject><subject>Engineering Sciences</subject><subject>Exact sciences and technology</subject><subject>Formability</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Liquids</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Mechanics</subject><subject>Movements</subject><subject>Physics</subject><subject>Solid mechanics</subject><subject>Structural and continuum mechanics</subject><subject>Tanks</subject><subject>Vibration</subject><subject>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</subject><issn>0021-8936</issn><issn>1528-9036</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNpFkE1LAzEQhoMoWKsHz172Iuih7Uy-mj1KrVYoeFDPYbrN2pRttt3sCv57U1rqZQaGZx5mXsZuEYaIqEY4lAAKTX7Geqi4GeQg9DnrAXAcmFzoS3YV4xoSZLTssdHc7zq_zD6qOq58-M6eabPddx8yCtm0otj6IpvUoSUfXHPNLkqqors59j77epl-TmaD-fvr2-RpPiBhsE1VmNJIVUCux6D4wihphCxgIRWiAEcGcAHg5FhAucxVuaASc14qxZcAJPrs8eBdUWW3jd9Q82tr8nb2NLf7GUiu02_4g4l9OLDbpt51LrZ242PhqoqCq7toUw7pDMW1-tcWTR1j48qTG8HuA7RojwEm9v6opVhQVTYUCh9PC1zJsdaoE3d34ChunF3XXRNSMlaOFXIt_gAPLnQC</recordid><startdate>20120101</startdate><enddate>20120101</enddate><creator>Miras, Thomas</creator><creator>Schotté, Jean-Sébastien</creator><creator>Ohayon, Roger</creator><general>ASME</general><general>American Society of Mechanical Engineers</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope><scope>KR7</scope><scope>1XC</scope><scope>VOOES</scope></search><sort><creationdate>20120101</creationdate><title>Liquid Sloshing Damping in an Elastic Container</title><author>Miras, Thomas ; Schotté, Jean-Sébastien ; Ohayon, Roger</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a381t-a338f845c0967052b854834c0b451130ea801b00e4730fd95fbaf192f552d00a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Damping</topic><topic>Engineering Sciences</topic><topic>Exact sciences and technology</topic><topic>Formability</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Liquids</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Mechanics</topic><topic>Movements</topic><topic>Physics</topic><topic>Solid mechanics</topic><topic>Structural and continuum mechanics</topic><topic>Tanks</topic><topic>Vibration</topic><topic>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Miras, Thomas</creatorcontrib><creatorcontrib>Schotté, Jean-Sébastien</creatorcontrib><creatorcontrib>Ohayon, Roger</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><collection>Hyper Article en Ligne (HAL)</collection><collection>Hyper Article en Ligne (HAL) (Open Access)</collection><jtitle>Journal of applied mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Miras, Thomas</au><au>Schotté, Jean-Sébastien</au><au>Ohayon, Roger</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Liquid Sloshing Damping in an Elastic Container</atitle><jtitle>Journal of applied mechanics</jtitle><stitle>J. Appl. Mech</stitle><date>2012-01-01</date><risdate>2012</risdate><volume>79</volume><issue>1</issue><spage>1</spage><epage>8</epage><pages>1-8</pages><issn>0021-8936</issn><eissn>1528-9036</eissn><coden>JAMCAV</coden><abstract>It is proposed to investigate in this paper the damped vibrations of an incompressible liquid contained in a deformable tank. A linearized formulation describing the small movements of the system is presented. At first, a diagonal damping is introduced in the reduced equations of the hydroelastic sloshing problem. We obtain a nonclassically damped coupled system with a damping matrix that is not symmetric. Then, by projecting the system onto its complex modes, the frequency and time responses for different type of loads are built. A numerical application is illustrated on a test case.</abstract><cop>New York, NY</cop><pub>ASME</pub><doi>10.1115/1.4005189</doi><tpages>8</tpages><oa>free_for_read</oa></addata></record>
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subjects	Damping Engineering Sciences Exact sciences and technology Formability Fundamental areas of phenomenology (including applications) Liquids Mathematical analysis Mathematical models Mechanics Movements Physics Solid mechanics Structural and continuum mechanics Tanks Vibration Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
title	Liquid Sloshing Damping in an Elastic Container
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