Vibrations of bars including transverse shear deformations and warping due to torsion
The paper deals with coupled flexural-torsional vibrations of straight prismatic elastic bars made of a linearly elastic isotropic and homogeneous material. One of the aims is to develop an effective method of modelling vibrations of train rails of cross-sections being mono-symmetric, taking into ac...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2021-06-01
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| Series: | Archives of Civil Engineering |
| Subjects: | |
| Online Access: | https://journals.pan.pl/Content/120000/22.ACE-00191_B5.pdf |
| _version_ | 1798040800287784960 |
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| author | Sławomir Czarnecki Tomasz Lewiński |
| author_facet | Sławomir Czarnecki Tomasz Lewiński |
| author_sort | Sławomir Czarnecki |
| collection | DOAJ |
| description | The paper deals with coupled flexural-torsional vibrations of straight prismatic elastic bars made of a linearly elastic isotropic and homogeneous material. One of the aims is to develop an effective method of modelling vibrations of train rails of cross-sections being mono-symmetric, taking into account warping due to torsion as well as transverse shear deformations. The Librescu-Song 1D model has been appropriately adapted to the above research aims by incorporating all the inertia terms corresponding to the kinematic hypotheses. The finite element(FE) program has been written and its correctness has been verified. The results concerning natural vibrations compare favourably with those predicted by 3D FE modelling using dense meshes. The paper proves that neglecting warping due to torsion leads to omitting several eigen-modes of vibrations, thus showing that the popular Timoshenko-like models are useless for the vibration analysis of bars of mono-symmetric cross sections. |
| first_indexed | 2024-04-11T22:13:44Z |
| format | Article |
| id | doaj.art-7fc8fe0e9ecd4268ac1cd6aaedb13912 |
| institution | Directory Open Access Journal |
| issn | 2300-3103 |
| language | English |
| last_indexed | 2024-04-11T22:13:44Z |
| publishDate | 2021-06-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Civil Engineering |
| spelling | doaj.art-7fc8fe0e9ecd4268ac1cd6aaedb139122022-12-22T04:00:30ZengPolish Academy of SciencesArchives of Civil Engineering2300-31032021-06-01vol. 67No 2355381https://doi.org/10.24425/ace.2021.137173Vibrations of bars including transverse shear deformations and warping due to torsionSławomir Czarnecki0https://orcid.org/0000-0001-9789-7085Tomasz Lewiński1https://orcid.org/0000-0003-2299-2162PhD., Eng., Warsaw University of Technology, Faculty of Civil Engineering, Al. Armii Ludowej 16, 00-637 Warsaw, PolandProf., DSc., PhD., Eng., Warsaw University of Technology, Faculty of Civil Engineering, Al. Armii Ludowej 16, 00-637 Warsaw, PolandThe paper deals with coupled flexural-torsional vibrations of straight prismatic elastic bars made of a linearly elastic isotropic and homogeneous material. One of the aims is to develop an effective method of modelling vibrations of train rails of cross-sections being mono-symmetric, taking into account warping due to torsion as well as transverse shear deformations. The Librescu-Song 1D model has been appropriately adapted to the above research aims by incorporating all the inertia terms corresponding to the kinematic hypotheses. The finite element(FE) program has been written and its correctness has been verified. The results concerning natural vibrations compare favourably with those predicted by 3D FE modelling using dense meshes. The paper proves that neglecting warping due to torsion leads to omitting several eigen-modes of vibrations, thus showing that the popular Timoshenko-like models are useless for the vibration analysis of bars of mono-symmetric cross sections.https://journals.pan.pl/Content/120000/22.ACE-00191_B5.pdftheory of barscoupled flexural-torsional vibrationstimoshenko theorylibrescu-song theory |
| spellingShingle | Sławomir Czarnecki Tomasz Lewiński Vibrations of bars including transverse shear deformations and warping due to torsion Archives of Civil Engineering theory of bars coupled flexural-torsional vibrations timoshenko theory librescu-song theory |
| title | Vibrations of bars including transverse shear deformations and warping due to torsion |
| title_full | Vibrations of bars including transverse shear deformations and warping due to torsion |
| title_fullStr | Vibrations of bars including transverse shear deformations and warping due to torsion |
| title_full_unstemmed | Vibrations of bars including transverse shear deformations and warping due to torsion |
| title_short | Vibrations of bars including transverse shear deformations and warping due to torsion |
| title_sort | vibrations of bars including transverse shear deformations and warping due to torsion |
| topic | theory of bars coupled flexural-torsional vibrations timoshenko theory librescu-song theory |
| url | https://journals.pan.pl/Content/120000/22.ACE-00191_B5.pdf |
| work_keys_str_mv | AT sławomirczarnecki vibrationsofbarsincludingtransversesheardeformationsandwarpingduetotorsion AT tomaszlewinski vibrationsofbarsincludingtransversesheardeformationsandwarpingduetotorsion |