Mathematical modeling of the self vibration frequencies of mechanical frames of controls rigs
Cross vibrations in cylindrical thin – border tubes and in rectangular frames which are made from these tubes and calculating method of their frequency are analyzed in the article. The theory of instantaneous cylindrical tubes and main equations of theory of elasticity can be used to develop the ma...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2004-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/31742 |
| _version_ | 1797194393661210624 |
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| author | Algimantas Bartaševičius Petras Ilgakojis Stanislovas Merkevičius |
| author_facet | Algimantas Bartaševičius Petras Ilgakojis Stanislovas Merkevičius |
| author_sort | Algimantas Bartaševičius |
| collection | DOAJ |
| description |
Cross vibrations in cylindrical thin – border tubes and in rectangular frames which are made from these tubes and calculating method of their frequency are analyzed in the article. The theory of instantaneous cylindrical tubes and main equations of theory of elasticity can be used to develop the mathematical model. Vibrations of one and two layers thin – border tubes are considered, differential equations with partial derivatives are created to discribe vibrations. Determination of approximate solution method of differential equations are simple and practical which can be used to calculate self vibration frequencies. Digital values of self vibration frequencies in one and two layers thin – border tubes and in rectangular frames which are made from these tubes are compared.
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| first_indexed | 2024-03-07T15:40:37Z |
| format | Article |
| id | doaj.art-5da906f25e6a49c89a4acb0421965069 |
| institution | Directory Open Access Journal |
| issn | 0132-2818 2335-898X |
| language | English |
| last_indexed | 2024-04-24T05:55:34Z |
| publishDate | 2004-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj.art-5da906f25e6a49c89a4acb04219650692024-04-23T09:02:49ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2004-12-0144spec.10.15388/LMR.2004.31742Mathematical modeling of the self vibration frequencies of mechanical frames of controls rigsAlgimantas Bartaševičius0Petras Ilgakojis1Stanislovas Merkevičius2Lithuanian University of AgricultureLithuanian University of AgricultureLithuanian University of Agriculture Cross vibrations in cylindrical thin – border tubes and in rectangular frames which are made from these tubes and calculating method of their frequency are analyzed in the article. The theory of instantaneous cylindrical tubes and main equations of theory of elasticity can be used to develop the mathematical model. Vibrations of one and two layers thin – border tubes are considered, differential equations with partial derivatives are created to discribe vibrations. Determination of approximate solution method of differential equations are simple and practical which can be used to calculate self vibration frequencies. Digital values of self vibration frequencies in one and two layers thin – border tubes and in rectangular frames which are made from these tubes are compared. https://www.journals.vu.lt/LMR/article/view/31742cylindrical tubeselasticitymovementdifferential equationsself vibration frequencies |
| spellingShingle | Algimantas Bartaševičius Petras Ilgakojis Stanislovas Merkevičius Mathematical modeling of the self vibration frequencies of mechanical frames of controls rigs Lietuvos Matematikos Rinkinys cylindrical tubes elasticity movement differential equations self vibration frequencies |
| title | Mathematical modeling of the self vibration frequencies of mechanical frames of controls rigs |
| title_full | Mathematical modeling of the self vibration frequencies of mechanical frames of controls rigs |
| title_fullStr | Mathematical modeling of the self vibration frequencies of mechanical frames of controls rigs |
| title_full_unstemmed | Mathematical modeling of the self vibration frequencies of mechanical frames of controls rigs |
| title_short | Mathematical modeling of the self vibration frequencies of mechanical frames of controls rigs |
| title_sort | mathematical modeling of the self vibration frequencies of mechanical frames of controls rigs |
| topic | cylindrical tubes elasticity movement differential equations self vibration frequencies |
| url | https://www.journals.vu.lt/LMR/article/view/31742 |
| work_keys_str_mv | AT algimantasbartasevicius mathematicalmodelingoftheselfvibrationfrequenciesofmechanicalframesofcontrolsrigs AT petrasilgakojis mathematicalmodelingoftheselfvibrationfrequenciesofmechanicalframesofcontrolsrigs AT stanislovasmerkevicius mathematicalmodelingoftheselfvibrationfrequenciesofmechanicalframesofcontrolsrigs |