Dynamic analysis of an orthotropic viscoelastic cylindrical panel of variable thickness
The intensive development of the modern industry is associated with the emergence of a variety of new composite materials. Plates, panels, and shells of variable thickness made of such materials are widely used in engineering and machine building. Modern technology for the manufacture of thin-walled...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2021-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/40/e3sconf_conmechydro2021_02045.pdf |
| _version_ | 1818588413079584768 |
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| author | Mirsaidov Mirziyod Abdikarimov Rustamkhan Normuminov Bakhodir Khodzhaev Dadakhan |
| author_facet | Mirsaidov Mirziyod Abdikarimov Rustamkhan Normuminov Bakhodir Khodzhaev Dadakhan |
| author_sort | Mirsaidov Mirziyod |
| collection | DOAJ |
| description | The intensive development of the modern industry is associated with the emergence of a variety of new composite materials. Plates, panels, and shells of variable thickness made of such materials are widely used in engineering and machine building. Modern technology for the manufacture of thin-walled structures of any configuration makes it possible to obtain structures with a given thickness variation law. Such thin-walled structures are subjected to various loads, including periodic ones. Nonlinear parametric vibrations of an orthotropic viscoelastic cylindrical panel of variable thickness are investigated without considering the elastic wave propagation. To derive a mathematical model of the problem, the Kirchhoff-Love theory is used in a geometrically nonlinear setting. The viscoelastic properties of a cylindrical panel are described by the hereditary Boltzmann-Volterra theory with a three-parameter Koltunov-Rzhanitsyn relaxation kernel. The problem is solved by the Bubnov-Galerkin method in combination with the numerical method. For the numerical implementation of the problem, an algorithm and a computer program were developed in the Delphi algorithmic language. Nonlinear parametric vibrations of orthotropic viscoelastic cylindrical panels under external periodic load were investigated. The influence of various physical, mechanical, and geometric parameters on the panel behavior, such as the thickness, viscoelastic and inhomogeneous properties of the material, external periodic load, were studied. |
| first_indexed | 2024-12-16T09:24:21Z |
| format | Article |
| id | doaj.art-889e8e35172c433e9746f40c62d90d5b |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-12-16T09:24:21Z |
| publishDate | 2021-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-889e8e35172c433e9746f40c62d90d5b2022-12-21T22:36:42ZengEDP SciencesE3S Web of Conferences2267-12422021-01-012640204510.1051/e3sconf/202126402045e3sconf_conmechydro2021_02045Dynamic analysis of an orthotropic viscoelastic cylindrical panel of variable thicknessMirsaidov Mirziyod0Abdikarimov Rustamkhan1Normuminov Bakhodir2Khodzhaev Dadakhan3Tashkent Institute of Irrigation and Agricultural Mechanization EngineersTashkent Institute of FinanceTashkent Institute of Irrigation and Agricultural Mechanization EngineersTashkent Institute of Irrigation and Agricultural Mechanization EngineersThe intensive development of the modern industry is associated with the emergence of a variety of new composite materials. Plates, panels, and shells of variable thickness made of such materials are widely used in engineering and machine building. Modern technology for the manufacture of thin-walled structures of any configuration makes it possible to obtain structures with a given thickness variation law. Such thin-walled structures are subjected to various loads, including periodic ones. Nonlinear parametric vibrations of an orthotropic viscoelastic cylindrical panel of variable thickness are investigated without considering the elastic wave propagation. To derive a mathematical model of the problem, the Kirchhoff-Love theory is used in a geometrically nonlinear setting. The viscoelastic properties of a cylindrical panel are described by the hereditary Boltzmann-Volterra theory with a three-parameter Koltunov-Rzhanitsyn relaxation kernel. The problem is solved by the Bubnov-Galerkin method in combination with the numerical method. For the numerical implementation of the problem, an algorithm and a computer program were developed in the Delphi algorithmic language. Nonlinear parametric vibrations of orthotropic viscoelastic cylindrical panels under external periodic load were investigated. The influence of various physical, mechanical, and geometric parameters on the panel behavior, such as the thickness, viscoelastic and inhomogeneous properties of the material, external periodic load, were studied.https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/40/e3sconf_conmechydro2021_02045.pdf |
| spellingShingle | Mirsaidov Mirziyod Abdikarimov Rustamkhan Normuminov Bakhodir Khodzhaev Dadakhan Dynamic analysis of an orthotropic viscoelastic cylindrical panel of variable thickness E3S Web of Conferences |
| title | Dynamic analysis of an orthotropic viscoelastic cylindrical panel of variable thickness |
| title_full | Dynamic analysis of an orthotropic viscoelastic cylindrical panel of variable thickness |
| title_fullStr | Dynamic analysis of an orthotropic viscoelastic cylindrical panel of variable thickness |
| title_full_unstemmed | Dynamic analysis of an orthotropic viscoelastic cylindrical panel of variable thickness |
| title_short | Dynamic analysis of an orthotropic viscoelastic cylindrical panel of variable thickness |
| title_sort | dynamic analysis of an orthotropic viscoelastic cylindrical panel of variable thickness |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/40/e3sconf_conmechydro2021_02045.pdf |
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