Effect of boundary condition nonlinearities on free large-amplitude vibrations of rectangular plates
The effect of boundary condition nonlinearities on free nonlinear vibrations of thin rectangular plates is analyzed. The method for analysis of the plate vibrations with geometrical nonlinearity and the boundary condition nonlinearity is suggested. The nonlinear boundary conditions for membrane forc...
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| Veröffentlicht in: | Nonlinear dynamics 2013-11, Vol.74 (3), p.615-627 |
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| creator | Breslavsky, I. D. Avramov, K. V. |
| description | The effect of boundary condition nonlinearities on free nonlinear vibrations of thin rectangular plates is analyzed. The method for analysis of the plate vibrations with geometrical nonlinearity and the boundary condition nonlinearity is suggested. The nonlinear boundary conditions for membrane forces are transformed into linear ones using the in-plane stress function. Additional boundary conditions for the in-plane displacements vanishing on the clamped edge of the plate are imposed on the stress function. Simply supported and cantilever plates are analyzed. The backbone curves obtained by satisfying linear and nonlinear boundary conditions are compared. It is shown that the results of the calculations with nonlinear boundary conditions differ essentially from the data obtained without these boundary conditions. |
| doi_str_mv | 10.1007/s11071-013-0993-6 |
| format | Article |
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It is shown that the results of the calculations with nonlinear boundary conditions differ essentially from the data obtained without these boundary conditions.</description><subject>Automotive Engineering</subject><subject>Boundary conditions</subject><subject>Cantilever plates</subject><subject>Clamping</subject><subject>Classical Mechanics</subject><subject>Control</subject><subject>Dynamical Systems</subject><subject>Engineering</subject><subject>Mathematical analysis</subject><subject>Mechanical Engineering</subject><subject>Nonlinearity</subject><subject>Original Paper</subject><subject>Plane stress</subject><subject>Rectangular plates</subject><subject>Stress functions</subject><subject>Vibration</subject><issn>0924-090X</issn><issn>1573-269X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp1kE1LxDAQhoMouK7-AG8BL16qk6Rpm6Ms6wcseFHYW0ib6dKlm6xJK_jvTakgCJ6GTJ73ZXgIuWZwxwDK-8gYlCwDJjJQSmTFCVkwWYqMF2p7ShageJ5-YHtOLmLcA4DgUC2IXbctNgP1La396KwJX7TxznZD5x113vWdQxPSEyNNmzYg0t6EHWbmcOy7YbRIP7s6mCkQp56Q-ozbjYmix94MGC_JWWv6iFc_c0neH9dvq-ds8_r0snrYZI3I1ZBZMDW2dWPrXIE0heLAOANrmpaDtXnV8FxVEnLgqsaKAwrGLNS2sFVeVFwsye3cewz-Y8Q46EMXG-x749CPUbOiZFKCLGVCb_6gez8Gl67TnEslKllwkSg2U03wMQZs9TF0h-RIM9CTdz1718m7nrzrImX4nImJdTsMv83_h74BEqKGiw</recordid><startdate>20131101</startdate><enddate>20131101</enddate><creator>Breslavsky, I. 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| language | eng |
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| source | SpringerNature Journals |
| subjects | Automotive Engineering Boundary conditions Cantilever plates Clamping Classical Mechanics Control Dynamical Systems Engineering Mathematical analysis Mechanical Engineering Nonlinearity Original Paper Plane stress Rectangular plates Stress functions Vibration |
| title | Effect of boundary condition nonlinearities on free large-amplitude vibrations of rectangular plates |
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