COMPLEX EIGENFREQUENCIES AND DAMPING PROPERTIES OF AN ELONGATED PLATE WITH AN INTEGRAL DAMPING COATING
This paper considers the classical methods of surface damping of bending vibrations of thin-walled structures and a promising integral version of a damping coating consisting of two layers of a material with pronounced viscoelastic properties separated by a thin reinforcing layer of a high modulus m...
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| Veröffentlicht in: | Journal of applied mechanics and technical physics 2020-07, Vol.61 (4), p.599-610 |
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| container_title | Journal of applied mechanics and technical physics |
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| creator | Paimushin, V. N. Firsov, V. A. Shishkin, V. M. |
| description | This paper considers the classical methods of surface damping of bending vibrations of thin-walled structures and a promising integral version of a damping coating consisting of two layers of a material with pronounced viscoelastic properties separated by a thin reinforcing layer of a high modulus material. A finite element with 14 degrees of freedom for modeling an elongated plate with the specified damping coating has been developed with consideration of the transverse compression of damping layers under high-frequency vibrations of the plate. The generalized problem of complex eigenvalues in the lower part of the spectrum of complex modes and frequencies of free vibrations of a damped plate is solved by the subspace iteration method taking into account the frequency dependence of the dynamic elastic moduli of the material. The damping properties of the plate are determined from the imaginary parts of the complex eigenfrequencies and the relative energy dissipation at resonance. |
| doi_str_mv | 10.1134/S0021894420040148 |
| format | Article |
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The damping properties of the plate are determined from the imaginary parts of the complex eigenfrequencies and the relative energy dissipation at resonance.</description><identifier>ISSN: 0021-8944</identifier><identifier>EISSN: 1573-8620</identifier><identifier>DOI: 10.1134/S0021894420040148</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Applications of Mathematics ; Classical and Continuum Physics ; Classical Mechanics ; Coating ; Damping ; Eigenvalues ; Elongation ; Energy dissipation ; Fluid- and Aerodynamics ; Free vibration ; Integrals ; Iterative methods ; Mathematical Modeling and Industrial Mathematics ; Mechanical Engineering ; Modulus of elasticity ; Physics ; Physics and Astronomy ; Properties (attributes) ; Resonant frequencies ; Subspace methods ; Thin wall structures</subject><ispartof>Journal of applied mechanics and technical physics, 2020-07, Vol.61 (4), p.599-610</ispartof><rights>Pleiades Publishing, Ltd. 2020</rights><rights>Pleiades Publishing, Ltd. 2020.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-a19ff7f976ba0ab4446317f5bbf75031f290798d72da13d2e0ad87fe0c61f5ca3</citedby><cites>FETCH-LOGICAL-c316t-a19ff7f976ba0ab4446317f5bbf75031f290798d72da13d2e0ad87fe0c61f5ca3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S0021894420040148$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S0021894420040148$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51298</link.rule.ids></links><search><creatorcontrib>Paimushin, V. N.</creatorcontrib><creatorcontrib>Firsov, V. A.</creatorcontrib><creatorcontrib>Shishkin, V. M.</creatorcontrib><title>COMPLEX EIGENFREQUENCIES AND DAMPING PROPERTIES OF AN ELONGATED PLATE WITH AN INTEGRAL DAMPING COATING</title><title>Journal of applied mechanics and technical physics</title><addtitle>J Appl Mech Tech Phy</addtitle><description>This paper considers the classical methods of surface damping of bending vibrations of thin-walled structures and a promising integral version of a damping coating consisting of two layers of a material with pronounced viscoelastic properties separated by a thin reinforcing layer of a high modulus material. A finite element with 14 degrees of freedom for modeling an elongated plate with the specified damping coating has been developed with consideration of the transverse compression of damping layers under high-frequency vibrations of the plate. The generalized problem of complex eigenvalues in the lower part of the spectrum of complex modes and frequencies of free vibrations of a damped plate is solved by the subspace iteration method taking into account the frequency dependence of the dynamic elastic moduli of the material. The damping properties of the plate are determined from the imaginary parts of the complex eigenfrequencies and the relative energy dissipation at resonance.</description><subject>Applications of Mathematics</subject><subject>Classical and Continuum Physics</subject><subject>Classical Mechanics</subject><subject>Coating</subject><subject>Damping</subject><subject>Eigenvalues</subject><subject>Elongation</subject><subject>Energy dissipation</subject><subject>Fluid- and Aerodynamics</subject><subject>Free vibration</subject><subject>Integrals</subject><subject>Iterative methods</subject><subject>Mathematical Modeling and Industrial Mathematics</subject><subject>Mechanical Engineering</subject><subject>Modulus of elasticity</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Properties (attributes)</subject><subject>Resonant frequencies</subject><subject>Subspace methods</subject><subject>Thin wall structures</subject><issn>0021-8944</issn><issn>1573-8620</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp1UMtOg0AUnRhNrNUPcEfiGr13GBhYEjqlJBSQ0uiODI8xNtpWpl349w6p0YVxcXOS87rJIeQW4R7RYQ8rAIp-wBgFYIDMPyMTdLlj-x6FczIZZXvUL8mV1hsACHzkE6KifFmk4tkSSSyyeSke1yKLErGywmxmzcJlkWSxVZR5IcpqpPO5USyR5lkcVmJmFakB6ympFiOfZJWIyzD9SUZ5WBm8JhdKvun-5hunZD0XVbSw0zxOojC1Wwe9gy0xUIqrgHuNBNkwxjwHuXKbRnEXHFQ0AB74HaedRKejPcjO56qH1kPlttKZkrtT737YfRx7fag3u-OwNS9rylyzjDlmXHhytcNO66FX9X54fZfDZ41Qj3PWf-Y0GXrKaOPdvvTDb_P_oS90VGzo</recordid><startdate>20200701</startdate><enddate>20200701</enddate><creator>Paimushin, V. 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N.</creatorcontrib><creatorcontrib>Firsov, V. A.</creatorcontrib><creatorcontrib>Shishkin, V. M.</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of applied mechanics and technical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Paimushin, V. N.</au><au>Firsov, V. A.</au><au>Shishkin, V. 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A finite element with 14 degrees of freedom for modeling an elongated plate with the specified damping coating has been developed with consideration of the transverse compression of damping layers under high-frequency vibrations of the plate. The generalized problem of complex eigenvalues in the lower part of the spectrum of complex modes and frequencies of free vibrations of a damped plate is solved by the subspace iteration method taking into account the frequency dependence of the dynamic elastic moduli of the material. The damping properties of the plate are determined from the imaginary parts of the complex eigenfrequencies and the relative energy dissipation at resonance.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S0021894420040148</doi><tpages>12</tpages></addata></record> |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Applications of Mathematics Classical and Continuum Physics Classical Mechanics Coating Damping Eigenvalues Elongation Energy dissipation Fluid- and Aerodynamics Free vibration Integrals Iterative methods Mathematical Modeling and Industrial Mathematics Mechanical Engineering Modulus of elasticity Physics Physics and Astronomy Properties (attributes) Resonant frequencies Subspace methods Thin wall structures |
| title | COMPLEX EIGENFREQUENCIES AND DAMPING PROPERTIES OF AN ELONGATED PLATE WITH AN INTEGRAL DAMPING COATING |
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