Global stability of rigid-body-motion fluid-structure-interaction problems
A rigorous derivation and validation for linear fluid-structure-interaction (FSI) equations for a rigid-body-motion problem is performed in an Eulerian framework. We show that the added-stiffness terms arising in the formulation of Fanion et al. (2000) vanish at the FSI interface in a first-order ap...
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| creator | Negi, Prabal S Hanifi, Ardeshir Henningson, Dan S |
| description | A rigorous derivation and validation for linear fluid-structure-interaction (FSI) equations for a rigid-body-motion problem is performed in an Eulerian framework. We show that the added-stiffness terms arising in the formulation of Fanion et al. (2000) vanish at the FSI interface in a first-order approximation. Several numerical tests with rigid-body motion are performed to show the validity of the derived formulation by comparing the time evolution between the linear and non-linear equations when the base flow is perturbed by identical small-amplitude perturbations. In all cases both the growth rate and angular frequency of the instability matches within \(0.1\%\) accuracy. The derived formulation is used to investigate the phenomenon of symmetry breaking for a rotating cylinder with an attached splitter-plate. The results show that the onset of symmetry breaking can be explained by the existence of a zero-frequency linearly unstable mode of the coupled fluid-structure-interaction system. Finally, the structural sensitivity of the least stable eigenvalue is studied for an oscillating cylinder, which is found to change significantly when the fluid and structural frequencies are close to resonance. |
| doi_str_mv | 10.48550/arxiv.1910.09605 |
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We show that the added-stiffness terms arising in the formulation of Fanion et al. (2000) vanish at the FSI interface in a first-order approximation. Several numerical tests with rigid-body motion are performed to show the validity of the derived formulation by comparing the time evolution between the linear and non-linear equations when the base flow is perturbed by identical small-amplitude perturbations. In all cases both the growth rate and angular frequency of the instability matches within \(0.1\%\) accuracy. The derived formulation is used to investigate the phenomenon of symmetry breaking for a rotating cylinder with an attached splitter-plate. The results show that the onset of symmetry breaking can be explained by the existence of a zero-frequency linearly unstable mode of the coupled fluid-structure-interaction system. 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Finally, the structural sensitivity of the least stable eigenvalue is studied for an oscillating cylinder, which is found to change significantly when the fluid and structural frequencies are close to resonance.</description><subject>Base flow</subject><subject>Broken symmetry</subject><subject>Coupled modes</subject><subject>Eigenvalues</subject><subject>Fluid-structure interaction</subject><subject>Frequency stability</subject><subject>Linear equations</subject><subject>Mathematical analysis</subject><subject>Motion stability</subject><subject>Nonlinear equations</subject><subject>Physics - Fluid Dynamics</subject><subject>Plates (structural members)</subject><subject>Rigid-body dynamics</subject><subject>Rotating cylinders</subject><subject>Stiffness</subject><subject>Structural stability</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><sourceid>GOX</sourceid><recordid>eNotj01LxDAURYMgOIzzA1xZcJ3xNV9tljLoqAy4mX1JmkQytM2YpGL_vbXj6sF9l8s5CN2VsGU15_Co4o__3pZyDkAK4FdoRSgtcc0IuUGblE4AQERFOKcr9L7vglZdkbLSvvN5KoIrov_0ButgJtyH7MNQuG6ck5Tj2OYxWuyHbKNql985Bt3ZPt2ia6e6ZDf_d42OL8_H3Ss-fOzfdk8HrDhhWFEqjYKWcWUNWC2c0ELyGdVwLozQxJDK2lYyZ6DS4ExFJQNKuOZCg6VrdH-ZXUSbc_S9ilPzJ9wswnPj4dKYyb5Gm3JzCmMcZqaGUKjqmlHK6C_f3lm7</recordid><startdate>20191021</startdate><enddate>20191021</enddate><creator>Negi, Prabal S</creator><creator>Hanifi, Ardeshir</creator><creator>Henningson, Dan S</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20191021</creationdate><title>Global stability of rigid-body-motion fluid-structure-interaction problems</title><author>Negi, Prabal S ; Hanifi, Ardeshir ; Henningson, Dan S</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a524-a339da0c45aed0eb6f6b695096d556d6b2d27eec94fd07b0fd73940325b56b0e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Base flow</topic><topic>Broken symmetry</topic><topic>Coupled modes</topic><topic>Eigenvalues</topic><topic>Fluid-structure interaction</topic><topic>Frequency stability</topic><topic>Linear equations</topic><topic>Mathematical analysis</topic><topic>Motion stability</topic><topic>Nonlinear equations</topic><topic>Physics - Fluid Dynamics</topic><topic>Plates (structural members)</topic><topic>Rigid-body dynamics</topic><topic>Rotating cylinders</topic><topic>Stiffness</topic><topic>Structural stability</topic><toplevel>online_resources</toplevel><creatorcontrib>Negi, Prabal S</creatorcontrib><creatorcontrib>Hanifi, Ardeshir</creatorcontrib><creatorcontrib>Henningson, Dan S</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</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>Publicly Available Content 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><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Negi, Prabal S</au><au>Hanifi, Ardeshir</au><au>Henningson, Dan S</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Global stability of rigid-body-motion fluid-structure-interaction problems</atitle><jtitle>arXiv.org</jtitle><date>2019-10-21</date><risdate>2019</risdate><eissn>2331-8422</eissn><abstract>A rigorous derivation and validation for linear fluid-structure-interaction (FSI) equations for a rigid-body-motion problem is performed in an Eulerian framework. We show that the added-stiffness terms arising in the formulation of Fanion et al. (2000) vanish at the FSI interface in a first-order approximation. Several numerical tests with rigid-body motion are performed to show the validity of the derived formulation by comparing the time evolution between the linear and non-linear equations when the base flow is perturbed by identical small-amplitude perturbations. In all cases both the growth rate and angular frequency of the instability matches within \(0.1\%\) accuracy. The derived formulation is used to investigate the phenomenon of symmetry breaking for a rotating cylinder with an attached splitter-plate. The results show that the onset of symmetry breaking can be explained by the existence of a zero-frequency linearly unstable mode of the coupled fluid-structure-interaction system. 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| subjects | Base flow Broken symmetry Coupled modes Eigenvalues Fluid-structure interaction Frequency stability Linear equations Mathematical analysis Motion stability Nonlinear equations Physics - Fluid Dynamics Plates (structural members) Rigid-body dynamics Rotating cylinders Stiffness Structural stability |
| title | Global stability of rigid-body-motion fluid-structure-interaction problems |
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