Modal Analysis of a Simply Supported Steel Beam with Cracks under Temperature Load
Based on the transfer matrix method, an analytical method is proposed to conduct the modal analysis of the simply supported steel beam with multiple transverse open cracks under different temperatures. The open cracks are replaced with torsion springs without mass, and local flexibility caused by ea...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2017/9125045 |
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| _version_ | 1832561630108450816 |
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| author | Yijiang Ma Guoping Chen Fan Yang |
| author_facet | Yijiang Ma Guoping Chen Fan Yang |
| author_sort | Yijiang Ma |
| collection | DOAJ |
| description | Based on the transfer matrix method, an analytical method is proposed to conduct the modal analysis of the simply supported steel beam with multiple transverse open cracks under different temperatures. The open cracks are replaced with torsion springs without mass, and local flexibility caused by each crack can be derived; the temperature module is introduced by the mechanical properties variation of the structural material, and the temperature load is caused by the temperature variation, which can be transformed to the axial force on the cross-section. The transfer matrix of the whole beam with the temperature and geometric parameters of cracks can be obtained. According to boundary conditions of the simply supported beam, natural frequencies of the beam can be calculated, which are compared with the finite element results. Results indicate that the analytical method proposed has a high accuracy; the natural frequencies of the simply supported steel beam are mostly affected by the temperature load, which cannot be ignored. |
| format | Article |
| id | doaj-art-4ba5f484c6674b52b2ce4229fa1cf879 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-4ba5f484c6674b52b2ce4229fa1cf8792025-02-03T01:24:31ZengWileyShock and Vibration1070-96221875-92032017-01-01201710.1155/2017/91250459125045Modal Analysis of a Simply Supported Steel Beam with Cracks under Temperature LoadYijiang Ma0Guoping Chen1Fan Yang2School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, ChinaState Key Laboratory of Mechanics and Control for Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaSchool of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, ChinaBased on the transfer matrix method, an analytical method is proposed to conduct the modal analysis of the simply supported steel beam with multiple transverse open cracks under different temperatures. The open cracks are replaced with torsion springs without mass, and local flexibility caused by each crack can be derived; the temperature module is introduced by the mechanical properties variation of the structural material, and the temperature load is caused by the temperature variation, which can be transformed to the axial force on the cross-section. The transfer matrix of the whole beam with the temperature and geometric parameters of cracks can be obtained. According to boundary conditions of the simply supported beam, natural frequencies of the beam can be calculated, which are compared with the finite element results. Results indicate that the analytical method proposed has a high accuracy; the natural frequencies of the simply supported steel beam are mostly affected by the temperature load, which cannot be ignored.http://dx.doi.org/10.1155/2017/9125045 |
| spellingShingle | Yijiang Ma Guoping Chen Fan Yang Modal Analysis of a Simply Supported Steel Beam with Cracks under Temperature Load Shock and Vibration |
| title | Modal Analysis of a Simply Supported Steel Beam with Cracks under Temperature Load |
| title_full | Modal Analysis of a Simply Supported Steel Beam with Cracks under Temperature Load |
| title_fullStr | Modal Analysis of a Simply Supported Steel Beam with Cracks under Temperature Load |
| title_full_unstemmed | Modal Analysis of a Simply Supported Steel Beam with Cracks under Temperature Load |
| title_short | Modal Analysis of a Simply Supported Steel Beam with Cracks under Temperature Load |
| title_sort | modal analysis of a simply supported steel beam with cracks under temperature load |
| url | http://dx.doi.org/10.1155/2017/9125045 |
| work_keys_str_mv | AT yijiangma modalanalysisofasimplysupportedsteelbeamwithcracksundertemperatureload AT guopingchen modalanalysisofasimplysupportedsteelbeamwithcracksundertemperatureload AT fanyang modalanalysisofasimplysupportedsteelbeamwithcracksundertemperatureload |