Spatial natural vibrations of viscoelastic axisymmetric structures
A mathematical model, methods and algorithm to assess the spatial natural vibrations of axisymmetric structures are given in the paper taking into account the variability of the slope and structure thickness in the framework of the viscoelastic theory of shells. Dissipative properties of the materia...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Peter the Great St. Petersburg Polytechnic University
2020-06-01
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| Series: | Инженерно-строительный журнал |
| Subjects: | |
| Online Access: | https://engstroy.spbstu.ru/userfiles/files/2020/4(96)/10.pdf |
| _version_ | 1818992179425574912 |
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| author | M.M. Mirsaidov Sh.O. Khudainazarov |
| author_facet | M.M. Mirsaidov Sh.O. Khudainazarov |
| author_sort | M.M. Mirsaidov |
| collection | DOAJ |
| description | A mathematical model, methods and algorithm to assess the spatial natural vibrations of axisymmetric structures are given in the paper taking into account the variability of the slope and structure thickness in the framework of the viscoelastic theory of shells. Dissipative properties of the material are taken into account by the Boltzmann-Volterra hereditary theory of viscoelasticity. The spatial natural vibrations of high-rise ventilation pipes of the Armenian nuclear power plant (NPP) and smokestacks of the Novo-Angren, Syrdarya, Azerbaijan and Ekibastuz thermal power plants (TPP) were studied taking into account the elastic and viscoelastic properties of their material. The reliability of results was verified by comparing the results obtained with the exact solution of a number of test problems, as well as by comparing the results with the results of field experiments. It was found that when the viscoelastic properties of structure material are taken into account, the decrement of their vibrations weakly depends on the values of eigenfrequency. Along with this, the dangerous range of earthquake frequencies includes not only the bending frequencies of the structure, but the spatial ones as well. |
| first_indexed | 2024-12-20T20:22:03Z |
| format | Article |
| id | doaj.art-68342432cdb442d0b60bf3bc8baef361 |
| institution | Directory Open Access Journal |
| issn | 2071-0305 |
| language | English |
| last_indexed | 2024-12-20T20:22:03Z |
| publishDate | 2020-06-01 |
| publisher | Peter the Great St. Petersburg Polytechnic University |
| record_format | Article |
| series | Инженерно-строительный журнал |
| spelling | doaj.art-68342432cdb442d0b60bf3bc8baef3612022-12-21T19:27:33ZengPeter the Great St. Petersburg Polytechnic UniversityИнженерно-строительный журнал2071-03052020-06-0196411812810.18720/MCE.96.10Spatial natural vibrations of viscoelastic axisymmetric structuresM.M. Mirsaidov0https://orcid.org/0000-0002-8907-7869Sh.O. Khudainazarov 1https://orcid.org/0000-0002-0432-2758Tashkent Institute of Irrigation and Agricultural Mechanization EngineersTashkent Institute of Irrigation and Agricultural Mechanization EngineersA mathematical model, methods and algorithm to assess the spatial natural vibrations of axisymmetric structures are given in the paper taking into account the variability of the slope and structure thickness in the framework of the viscoelastic theory of shells. Dissipative properties of the material are taken into account by the Boltzmann-Volterra hereditary theory of viscoelasticity. The spatial natural vibrations of high-rise ventilation pipes of the Armenian nuclear power plant (NPP) and smokestacks of the Novo-Angren, Syrdarya, Azerbaijan and Ekibastuz thermal power plants (TPP) were studied taking into account the elastic and viscoelastic properties of their material. The reliability of results was verified by comparing the results obtained with the exact solution of a number of test problems, as well as by comparing the results with the results of field experiments. It was found that when the viscoelastic properties of structure material are taken into account, the decrement of their vibrations weakly depends on the values of eigenfrequency. Along with this, the dangerous range of earthquake frequencies includes not only the bending frequencies of the structure, but the spatial ones as well.https://engstroy.spbstu.ru/userfiles/files/2020/4(96)/10.pdfaxisymmetric structureshigh-rise smokestacksspatial vibrationseigenfrequencyvibration decrementdynamic characteristicsviscoelasticitydissipative properties |
| spellingShingle | M.M. Mirsaidov Sh.O. Khudainazarov Spatial natural vibrations of viscoelastic axisymmetric structures Инженерно-строительный журнал axisymmetric structures high-rise smokestacks spatial vibrations eigenfrequency vibration decrement dynamic characteristics viscoelasticity dissipative properties |
| title | Spatial natural vibrations of viscoelastic axisymmetric structures |
| title_full | Spatial natural vibrations of viscoelastic axisymmetric structures |
| title_fullStr | Spatial natural vibrations of viscoelastic axisymmetric structures |
| title_full_unstemmed | Spatial natural vibrations of viscoelastic axisymmetric structures |
| title_short | Spatial natural vibrations of viscoelastic axisymmetric structures |
| title_sort | spatial natural vibrations of viscoelastic axisymmetric structures |
| topic | axisymmetric structures high-rise smokestacks spatial vibrations eigenfrequency vibration decrement dynamic characteristics viscoelasticity dissipative properties |
| url | https://engstroy.spbstu.ru/userfiles/files/2020/4(96)/10.pdf |
| work_keys_str_mv | AT mmmirsaidov spatialnaturalvibrationsofviscoelasticaxisymmetricstructures AT shokhudainazarov spatialnaturalvibrationsofviscoelasticaxisymmetricstructures |