Numerical Methods for Transverse Vibration Analysis of Straight Euler and Timoshenko Beams
This paper presents a short review of numerical methods used for lateral vibration analysis in the case of straight Euler and Timoshenko beams. A particular integral method is described with more details. This approximate integral method is based on the use of flexibility influence functions (Green’...
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| Format: | Article |
| Language: | English |
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National Institute for Aerospace Research “Elie Carafoli” - INCAS
2019-09-01
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| Series: | INCAS Bulletin |
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| Online Access: | http://bulletin.incas.ro/files/anghel__vol_11_iss_3.pdf |
| _version_ | 1818420368567697408 |
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| author | Viorel ANGHEL |
| author_facet | Viorel ANGHEL |
| author_sort | Viorel ANGHEL |
| collection | DOAJ |
| description | This paper presents a short review of numerical methods used for lateral vibration analysis in the case of straight Euler and Timoshenko beams. A particular integral method is described with more details. This approximate integral method is based on the use of flexibility influence functions (Green’s functions). It leads to a matrix formulation and to an eigenvalue problem for vibration analysis. The presented approach is able to estimate separately the shear effects and the rotary inertia effects and also the combined effects. Simple numerical examples are also presented for comparisons with analytical and finite elements results. The results show good agreement. |
| first_indexed | 2024-12-14T12:53:21Z |
| format | Article |
| id | doaj.art-d41961945c134d51af6f08d2a34fad5f |
| institution | Directory Open Access Journal |
| issn | 2066-8201 2247-4528 |
| language | English |
| last_indexed | 2024-12-14T12:53:21Z |
| publishDate | 2019-09-01 |
| publisher | National Institute for Aerospace Research “Elie Carafoli” - INCAS |
| record_format | Article |
| series | INCAS Bulletin |
| spelling | doaj.art-d41961945c134d51af6f08d2a34fad5f2022-12-21T23:00:38ZengNational Institute for Aerospace Research “Elie Carafoli” - INCASINCAS Bulletin2066-82012247-45282019-09-01113152810.13111/2066-8201.2019.11.3.2Numerical Methods for Transverse Vibration Analysis of Straight Euler and Timoshenko BeamsViorel ANGHEL0“POLITEHNICA” University of Bucharest, Strength of Materials Department, Splaiul Independentei 313, 060042, Bucharest, Romania, vanghel10@gmail.comThis paper presents a short review of numerical methods used for lateral vibration analysis in the case of straight Euler and Timoshenko beams. A particular integral method is described with more details. This approximate integral method is based on the use of flexibility influence functions (Green’s functions). It leads to a matrix formulation and to an eigenvalue problem for vibration analysis. The presented approach is able to estimate separately the shear effects and the rotary inertia effects and also the combined effects. Simple numerical examples are also presented for comparisons with analytical and finite elements results. The results show good agreement.http://bulletin.incas.ro/files/anghel__vol_11_iss_3.pdfEuler BeamsTimoshenko BeamsGreen’s FunctionsBending Vibration |
| spellingShingle | Viorel ANGHEL Numerical Methods for Transverse Vibration Analysis of Straight Euler and Timoshenko Beams INCAS Bulletin Euler Beams Timoshenko Beams Green’s Functions Bending Vibration |
| title | Numerical Methods for Transverse Vibration Analysis of Straight Euler and Timoshenko Beams |
| title_full | Numerical Methods for Transverse Vibration Analysis of Straight Euler and Timoshenko Beams |
| title_fullStr | Numerical Methods for Transverse Vibration Analysis of Straight Euler and Timoshenko Beams |
| title_full_unstemmed | Numerical Methods for Transverse Vibration Analysis of Straight Euler and Timoshenko Beams |
| title_short | Numerical Methods for Transverse Vibration Analysis of Straight Euler and Timoshenko Beams |
| title_sort | numerical methods for transverse vibration analysis of straight euler and timoshenko beams |
| topic | Euler Beams Timoshenko Beams Green’s Functions Bending Vibration |
| url | http://bulletin.incas.ro/files/anghel__vol_11_iss_3.pdf |
| work_keys_str_mv | AT viorelanghel numericalmethodsfortransversevibrationanalysisofstraighteulerandtimoshenkobeams |