Nonlinear oscillations of a viscoelastic cylindrical panel with concentrated masses
The problems of oscillations of a viscoelastic cylindrical panel with concentrated masses are investigated, based on the Kirchhoff-Love hypothesis in the geometrically nonlinear statement. The effect of the action of concentrated masses is introduced into the equation of motion of the cylindrical pa...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2018-01-01
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| Series: | MATEC Web of Conferences |
| Online Access: | https://doi.org/10.1051/matecconf/201824501001 |
| _version_ | 1818445247181488128 |
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| author | Khodzhaev D.A Dadakhan Abdikarimov Rustamkhan Vatin Nikolay |
| author_facet | Khodzhaev D.A Dadakhan Abdikarimov Rustamkhan Vatin Nikolay |
| author_sort | Khodzhaev D.A Dadakhan |
| collection | DOAJ |
| description | The problems of oscillations of a viscoelastic cylindrical panel with concentrated masses are investigated, based on the Kirchhoff-Love hypothesis in the geometrically nonlinear statement. The effect of the action of concentrated masses is introduced into the equation of motion of the cylindrical panel using the δ function. To solve integro-differential equations of nonlinear problems of the dynamics of viscoelastic systems, a numerical method is suggested. With the Bubnov–Galerkin method, based on a polynomial approximation of the deflection, in combination with the suggested numerical method, the problems of nonlinear oscillation of a viscoelastic cylindrical panel with concentrated masses were solved. Bubnov–Galerkin’s convergence was studied in all problems. The influence of the viscoelastic properties of the material and concentrated masses on the process of oscillations of a cylindrical panel is shown. |
| first_indexed | 2024-12-14T19:28:48Z |
| format | Article |
| id | doaj.art-0c4d6ab50b5c4b11826ec4bedbb7b747 |
| institution | Directory Open Access Journal |
| issn | 2261-236X |
| language | English |
| last_indexed | 2024-12-14T19:28:48Z |
| publishDate | 2018-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | MATEC Web of Conferences |
| spelling | doaj.art-0c4d6ab50b5c4b11826ec4bedbb7b7472022-12-21T22:50:06ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-012450100110.1051/matecconf/201824501001matecconf_eece2018_01001Nonlinear oscillations of a viscoelastic cylindrical panel with concentrated massesKhodzhaev D.A Dadakhan0Abdikarimov Rustamkhan1Vatin Nikolay2Tashkent Institute of Irrigation and Agricultural Mechanization EngineersTashkent Financial institutePeter the Great St. Petersburg Polytechnic UniversityThe problems of oscillations of a viscoelastic cylindrical panel with concentrated masses are investigated, based on the Kirchhoff-Love hypothesis in the geometrically nonlinear statement. The effect of the action of concentrated masses is introduced into the equation of motion of the cylindrical panel using the δ function. To solve integro-differential equations of nonlinear problems of the dynamics of viscoelastic systems, a numerical method is suggested. With the Bubnov–Galerkin method, based on a polynomial approximation of the deflection, in combination with the suggested numerical method, the problems of nonlinear oscillation of a viscoelastic cylindrical panel with concentrated masses were solved. Bubnov–Galerkin’s convergence was studied in all problems. The influence of the viscoelastic properties of the material and concentrated masses on the process of oscillations of a cylindrical panel is shown.https://doi.org/10.1051/matecconf/201824501001 |
| spellingShingle | Khodzhaev D.A Dadakhan Abdikarimov Rustamkhan Vatin Nikolay Nonlinear oscillations of a viscoelastic cylindrical panel with concentrated masses MATEC Web of Conferences |
| title | Nonlinear oscillations of a viscoelastic cylindrical panel with concentrated masses |
| title_full | Nonlinear oscillations of a viscoelastic cylindrical panel with concentrated masses |
| title_fullStr | Nonlinear oscillations of a viscoelastic cylindrical panel with concentrated masses |
| title_full_unstemmed | Nonlinear oscillations of a viscoelastic cylindrical panel with concentrated masses |
| title_short | Nonlinear oscillations of a viscoelastic cylindrical panel with concentrated masses |
| title_sort | nonlinear oscillations of a viscoelastic cylindrical panel with concentrated masses |
| url | https://doi.org/10.1051/matecconf/201824501001 |
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