Large deflections of a structurally damped panel in a subsonic flow
The large deflections of panels in subsonic flow are considered, specifically a fully clamped von Karman plate accounting for both rotational inertia in plate filaments and (mild) structural damping. The panel is taken to be embedded in the boundary of the positive half-space in R 3 containing a lin...
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| Veröffentlicht in: | Nonlinear dynamics 2021-03, Vol.103 (4), p.3165-3186 |
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| container_title | Nonlinear dynamics |
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| creator | Balakrishna, Abhishek Webster, Justin T. |
| description | The large deflections of panels in subsonic flow are considered, specifically a fully clamped von Karman plate accounting for both rotational inertia in plate filaments and (mild) structural damping. The panel is taken to be embedded in the boundary of the positive half-space in
R
3
containing a linear, subsonic potential flow. Solutions are constructed via a semigroup approach despite the lack of natural dissipativity associated with the generator of the linear dynamics. The flow–plate dynamics are then reduced—via an explicit Neumann-to-Dirichlet (downwash-to-pressure) solver for the flow—to a memory-type dynamical system for the plate. For the non-conservative plate dynamics, a global attractor is explicitly constructed via Lyapunov and recent quasi-stability methods. Finally, it is shown that, via the compactness of the attractor and finiteness of the dissipation integral, all trajectories converge strongly to the set of stationary states. |
| doi_str_mv | 10.1007/s11071-020-05805-1 |
| format | Article |
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R
3
containing a linear, subsonic potential flow. Solutions are constructed via a semigroup approach despite the lack of natural dissipativity associated with the generator of the linear dynamics. The flow–plate dynamics are then reduced—via an explicit Neumann-to-Dirichlet (downwash-to-pressure) solver for the flow—to a memory-type dynamical system for the plate. For the non-conservative plate dynamics, a global attractor is explicitly constructed via Lyapunov and recent quasi-stability methods. Finally, it is shown that, via the compactness of the attractor and finiteness of the dissipation integral, all trajectories converge strongly to the set of stationary states.</description><identifier>ISSN: 0924-090X</identifier><identifier>EISSN: 1573-269X</identifier><identifier>DOI: 10.1007/s11071-020-05805-1</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Attractors (mathematics) ; Automotive Engineering ; Classical Mechanics ; Construction ; Control ; Damping ; Dirichlet problem ; Downwash ; Dynamical Systems ; Engineering ; Filaments ; Half spaces ; Mechanical Engineering ; Original Paper ; Potential flow ; Subsonic flow ; Vibration</subject><ispartof>Nonlinear dynamics, 2021-03, Vol.103 (4), p.3165-3186</ispartof><rights>Springer Nature B.V. 2020</rights><rights>Springer Nature B.V. 2020.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-ff3bd6893a6474814a826e6e60eae66093468f1fe6b8c801206d2646e72737da3</citedby><cites>FETCH-LOGICAL-c319t-ff3bd6893a6474814a826e6e60eae66093468f1fe6b8c801206d2646e72737da3</cites><orcidid>0000-0003-4411-2891</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11071-020-05805-1$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11071-020-05805-1$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,778,782,27911,27912,41475,42544,51306</link.rule.ids></links><search><creatorcontrib>Balakrishna, Abhishek</creatorcontrib><creatorcontrib>Webster, Justin T.</creatorcontrib><title>Large deflections of a structurally damped panel in a subsonic flow</title><title>Nonlinear dynamics</title><addtitle>Nonlinear Dyn</addtitle><description>The large deflections of panels in subsonic flow are considered, specifically a fully clamped von Karman plate accounting for both rotational inertia in plate filaments and (mild) structural damping. The panel is taken to be embedded in the boundary of the positive half-space in
R
3
containing a linear, subsonic potential flow. Solutions are constructed via a semigroup approach despite the lack of natural dissipativity associated with the generator of the linear dynamics. The flow–plate dynamics are then reduced—via an explicit Neumann-to-Dirichlet (downwash-to-pressure) solver for the flow—to a memory-type dynamical system for the plate. For the non-conservative plate dynamics, a global attractor is explicitly constructed via Lyapunov and recent quasi-stability methods. Finally, it is shown that, via the compactness of the attractor and finiteness of the dissipation integral, all trajectories converge strongly to the set of stationary states.</description><subject>Attractors (mathematics)</subject><subject>Automotive Engineering</subject><subject>Classical Mechanics</subject><subject>Construction</subject><subject>Control</subject><subject>Damping</subject><subject>Dirichlet problem</subject><subject>Downwash</subject><subject>Dynamical Systems</subject><subject>Engineering</subject><subject>Filaments</subject><subject>Half spaces</subject><subject>Mechanical Engineering</subject><subject>Original Paper</subject><subject>Potential flow</subject><subject>Subsonic flow</subject><subject>Vibration</subject><issn>0924-090X</issn><issn>1573-269X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp9kEtLxDAUhYMoOI7-AVcB19GbR_NYyuALBtwozC5k2mTo0Glq0iLz741WcCd3cRf3O-dyDkLXFG4pgLrLlIKiBBgQqDRUhJ6gBa0UJ0yazSlagGGCgIHNObrIeQ8AnIFeoNXapZ3HjQ-dr8c29hnHgB3OY5rqcUqu6464cYfBN3hwve9w23-fp22OfVvj0MXPS3QWXJf91e9eovfHh7fVM1m_Pr2s7tek5tSMJAS-baQ23EmhhKbCaSZ9GfDOSwmGC6kDDV5uda2BMpANk0J6xRRXjeNLdDP7Dil-TD6Pdh-n1JeXllVgBOclf6HYTNUp5px8sENqDy4dLQX7XZady7IFtj9lWVpEfBblAvc7n_6s_1F9AewHa0c</recordid><startdate>20210301</startdate><enddate>20210301</enddate><creator>Balakrishna, Abhishek</creator><creator>Webster, Justin T.</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><orcidid>https://orcid.org/0000-0003-4411-2891</orcidid></search><sort><creationdate>20210301</creationdate><title>Large deflections of a structurally damped panel in a subsonic flow</title><author>Balakrishna, Abhishek ; Webster, Justin T.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-ff3bd6893a6474814a826e6e60eae66093468f1fe6b8c801206d2646e72737da3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Attractors (mathematics)</topic><topic>Automotive Engineering</topic><topic>Classical Mechanics</topic><topic>Construction</topic><topic>Control</topic><topic>Damping</topic><topic>Dirichlet problem</topic><topic>Downwash</topic><topic>Dynamical Systems</topic><topic>Engineering</topic><topic>Filaments</topic><topic>Half spaces</topic><topic>Mechanical Engineering</topic><topic>Original Paper</topic><topic>Potential flow</topic><topic>Subsonic flow</topic><topic>Vibration</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Balakrishna, Abhishek</creatorcontrib><creatorcontrib>Webster, Justin T.</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central</collection><collection>Technology Collection (ProQuest)</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><jtitle>Nonlinear dynamics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Balakrishna, Abhishek</au><au>Webster, Justin T.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Large deflections of a structurally damped panel in a subsonic flow</atitle><jtitle>Nonlinear dynamics</jtitle><stitle>Nonlinear Dyn</stitle><date>2021-03-01</date><risdate>2021</risdate><volume>103</volume><issue>4</issue><spage>3165</spage><epage>3186</epage><pages>3165-3186</pages><issn>0924-090X</issn><eissn>1573-269X</eissn><abstract>The large deflections of panels in subsonic flow are considered, specifically a fully clamped von Karman plate accounting for both rotational inertia in plate filaments and (mild) structural damping. The panel is taken to be embedded in the boundary of the positive half-space in
R
3
containing a linear, subsonic potential flow. Solutions are constructed via a semigroup approach despite the lack of natural dissipativity associated with the generator of the linear dynamics. The flow–plate dynamics are then reduced—via an explicit Neumann-to-Dirichlet (downwash-to-pressure) solver for the flow—to a memory-type dynamical system for the plate. For the non-conservative plate dynamics, a global attractor is explicitly constructed via Lyapunov and recent quasi-stability methods. Finally, it is shown that, via the compactness of the attractor and finiteness of the dissipation integral, all trajectories converge strongly to the set of stationary states.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s11071-020-05805-1</doi><tpages>22</tpages><orcidid>https://orcid.org/0000-0003-4411-2891</orcidid></addata></record> |
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| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Attractors (mathematics) Automotive Engineering Classical Mechanics Construction Control Damping Dirichlet problem Downwash Dynamical Systems Engineering Filaments Half spaces Mechanical Engineering Original Paper Potential flow Subsonic flow Vibration |
| title | Large deflections of a structurally damped panel in a subsonic flow |
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