FORCE DRIVEN VIBRATIONS OF NONLINEAR PLATES ON A VISCOELASTIC WINKLER FOUNDATION UNDER THE HARMONIC MOVING LOAD
In the present paper, the forced driven nonlinear vibrations of an elastic plate in a viscoelastic medium and resting on a viscoelastic Winkler-type foundation are studied. The damping features of the surrounding medium and foundation are described by the Kelvin-Voigt model and standard linear solid...
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| Format: | Article |
| Language: | English |
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Publishing House ASV
2021-12-01
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| Series: | International Journal for Computational Civil and Structural Engineering |
| Subjects: | |
| Online Access: | https://ijccse.iasv.ru/index.php/ijccse/article/view/439 |
| _version_ | 1818946284857327616 |
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| author | Marina Shitikova Anastasiya Krusser |
| author_facet | Marina Shitikova Anastasiya Krusser |
| author_sort | Marina Shitikova |
| collection | DOAJ |
| description | In the present paper, the forced driven nonlinear vibrations of an elastic plate in a viscoelastic medium and resting on a viscoelastic Winkler-type foundation are studied. The damping features of the surrounding medium and foundation are described by the Kelvin-Voigt model and standard linear solid model with fractional derivatives, respectively. The dynamic response of the plate is described by the set of nonlinear differential equations with due account for the fact that the plate is being under the conditions of the internal resonance accompanied by the external resonance. The expressions for the stress function and nonlinear coefficients for different types of boundary conditions are presented. |
| first_indexed | 2024-12-20T08:12:34Z |
| format | Article |
| id | doaj.art-4e9c751a1f0d419396310f432b361702 |
| institution | Directory Open Access Journal |
| issn | 2587-9618 2588-0195 |
| language | English |
| last_indexed | 2024-12-20T08:12:34Z |
| publishDate | 2021-12-01 |
| publisher | Publishing House ASV |
| record_format | Article |
| series | International Journal for Computational Civil and Structural Engineering |
| spelling | doaj.art-4e9c751a1f0d419396310f432b3617022022-12-21T19:47:13ZengPublishing House ASVInternational Journal for Computational Civil and Structural Engineering2587-96182588-01952021-12-0117410.22337/2587-9618-2021-17-4-161-180FORCE DRIVEN VIBRATIONS OF NONLINEAR PLATES ON A VISCOELASTIC WINKLER FOUNDATION UNDER THE HARMONIC MOVING LOADMarina Shitikova0Anastasiya Krusser1Voronezh State Technical University, Voronezh, RUSSIAVoronezh State Technical University, Voronezh, RUSSIAIn the present paper, the forced driven nonlinear vibrations of an elastic plate in a viscoelastic medium and resting on a viscoelastic Winkler-type foundation are studied. The damping features of the surrounding medium and foundation are described by the Kelvin-Voigt model and standard linear solid model with fractional derivatives, respectively. The dynamic response of the plate is described by the set of nonlinear differential equations with due account for the fact that the plate is being under the conditions of the internal resonance accompanied by the external resonance. The expressions for the stress function and nonlinear coefficients for different types of boundary conditions are presented.https://ijccse.iasv.ru/index.php/ijccse/article/view/439nonlinear vibrations of thin plates, viscoelastic Winkler-type foundation, fractional derivative model, boundary conditions, combination of internal and external resonances |
| spellingShingle | Marina Shitikova Anastasiya Krusser FORCE DRIVEN VIBRATIONS OF NONLINEAR PLATES ON A VISCOELASTIC WINKLER FOUNDATION UNDER THE HARMONIC MOVING LOAD International Journal for Computational Civil and Structural Engineering nonlinear vibrations of thin plates, viscoelastic Winkler-type foundation, fractional derivative model, boundary conditions, combination of internal and external resonances |
| title | FORCE DRIVEN VIBRATIONS OF NONLINEAR PLATES ON A VISCOELASTIC WINKLER FOUNDATION UNDER THE HARMONIC MOVING LOAD |
| title_full | FORCE DRIVEN VIBRATIONS OF NONLINEAR PLATES ON A VISCOELASTIC WINKLER FOUNDATION UNDER THE HARMONIC MOVING LOAD |
| title_fullStr | FORCE DRIVEN VIBRATIONS OF NONLINEAR PLATES ON A VISCOELASTIC WINKLER FOUNDATION UNDER THE HARMONIC MOVING LOAD |
| title_full_unstemmed | FORCE DRIVEN VIBRATIONS OF NONLINEAR PLATES ON A VISCOELASTIC WINKLER FOUNDATION UNDER THE HARMONIC MOVING LOAD |
| title_short | FORCE DRIVEN VIBRATIONS OF NONLINEAR PLATES ON A VISCOELASTIC WINKLER FOUNDATION UNDER THE HARMONIC MOVING LOAD |
| title_sort | force driven vibrations of nonlinear plates on a viscoelastic winkler foundation under the harmonic moving load |
| topic | nonlinear vibrations of thin plates, viscoelastic Winkler-type foundation, fractional derivative model, boundary conditions, combination of internal and external resonances |
| url | https://ijccse.iasv.ru/index.php/ijccse/article/view/439 |
| work_keys_str_mv | AT marinashitikova forcedrivenvibrationsofnonlinearplatesonaviscoelasticwinklerfoundationundertheharmonicmovingload AT anastasiyakrusser forcedrivenvibrationsofnonlinearplatesonaviscoelasticwinklerfoundationundertheharmonicmovingload |