Study of motion stability of a viscoelastic rod
Stability of non-conservatively loaded elastic and inelastic bodies – a classic section of deformable solid mechanics that has been of interest for many years. In this paper, we study the motion stability of a free rod subjected to a constant tracking force on one of its ends. The defining ratio of...
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| Format: | Article |
| Language: | English |
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Igor Sikorsky Kyiv Polytechnic Institute
2024-03-01
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| Series: | Mechanics and Advanced Technologies |
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| Online Access: | https://journal.mmi.kpi.ua/article/view/297514 |
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| _version_ | 1846140320029343744 |
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| author | Ірина Костюшко Гліб Шаповалов |
| author_facet | Ірина Костюшко Гліб Шаповалов |
| author_sort | Ірина Костюшко |
| collection | DOAJ |
| description | Stability of non-conservatively loaded elastic and inelastic bodies – a classic section of deformable solid mechanics that has been of interest for many years. In this paper, we study the motion stability of a free rod subjected to a constant tracking force on one of its ends. The defining ratio of the rod material is the Kelvin-Voigt model. The solution is presented in the form of an expansion in terms of beam functions. The number of terms of this expansion is substantiated. The values of the critical load in the presence and absence of viscosity are determined. The given analytical results are confirmed by numerical calculations. |
| format | Article |
| id | doaj-art-0a3011e550f64fcea0292a3d10be9f4a |
| institution | Kabale University |
| issn | 2521-1943 2522-4255 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | Igor Sikorsky Kyiv Polytechnic Institute |
| record_format | Article |
| series | Mechanics and Advanced Technologies |
| spelling | doaj-art-0a3011e550f64fcea0292a3d10be9f4a2024-12-05T13:32:19ZengIgor Sikorsky Kyiv Polytechnic InstituteMechanics and Advanced Technologies2521-19432522-42552024-03-0181(100)808610.20535/2521-1943.2024.8.1(100).297514335855Study of motion stability of a viscoelastic rodІрина Костюшко0https://orcid.org/0000-0003-4093-6383Гліб Шаповалов1https://orcid.org/0009-0000-0704-7440Igor Sikorsky Kyiv Polytechnic InstituteIgor Sikorsky Kyiv Polytechnic InstituteStability of non-conservatively loaded elastic and inelastic bodies – a classic section of deformable solid mechanics that has been of interest for many years. In this paper, we study the motion stability of a free rod subjected to a constant tracking force on one of its ends. The defining ratio of the rod material is the Kelvin-Voigt model. The solution is presented in the form of an expansion in terms of beam functions. The number of terms of this expansion is substantiated. The values of the critical load in the presence and absence of viscosity are determined. The given analytical results are confirmed by numerical calculations.https://journal.mmi.kpi.ua/article/view/297514kelvin-voigt modelcritical forceviscosity coefficientstabilitybeam functions |
| spellingShingle | Ірина Костюшко Гліб Шаповалов Study of motion stability of a viscoelastic rod Mechanics and Advanced Technologies kelvin-voigt model critical force viscosity coefficient stability beam functions |
| title | Study of motion stability of a viscoelastic rod |
| title_full | Study of motion stability of a viscoelastic rod |
| title_fullStr | Study of motion stability of a viscoelastic rod |
| title_full_unstemmed | Study of motion stability of a viscoelastic rod |
| title_short | Study of motion stability of a viscoelastic rod |
| title_sort | study of motion stability of a viscoelastic rod |
| topic | kelvin-voigt model critical force viscosity coefficient stability beam functions |
| url | https://journal.mmi.kpi.ua/article/view/297514 |
| work_keys_str_mv | AT írinakostûško studyofmotionstabilityofaviscoelasticrod AT glíbšapovalov studyofmotionstabilityofaviscoelasticrod |