Building an Analytical Method to Study Cantilever Beam Dynamic Response
Cantilever beams are used in many crucial applications in machinery and construction. For example, the airplane wing, the microscopic probe for atomic force measurement, the tower crane overhang and twin overhang folding bridge are typical examples of cantilever beams. The current research aims to...
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| Format: | Article |
| Language: | English |
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University of Baghdad
2023-10-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
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| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/3140 |
| _version_ | 1797653899396513792 |
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| author | Samaher M.Sarhan |
| author_facet | Samaher M.Sarhan |
| author_sort | Samaher M.Sarhan |
| collection | DOAJ |
| description |
Cantilever beams are used in many crucial applications in machinery and construction. For example, the airplane wing, the microscopic probe for atomic force measurement, the tower crane overhang and twin overhang folding bridge are typical examples of cantilever beams. The current research aims to develop an analytical solution for the free vibration problem of cantilever beams. The dynamic response of AISI 304 beam represented by the natural frequencies was determined under different working surrounding temperatures ((-100 ℃ to 400 ℃)). A Matlab code was developed to achieve the analytical solution results, considering the effect of some beam geometrical dimensions. The developed analytical solution has been verified successfully with real experimental data and the error was not exceeded 1%.
Keywords: analytical solution, cantilever beam, free vibration, mathematical modeling.
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| first_indexed | 2024-03-11T16:51:31Z |
| format | Article |
| id | doaj.art-83a71174eaa34346b6cfd2c298393f9d |
| institution | Directory Open Access Journal |
| issn | 1609-4042 2521-3407 |
| language | English |
| last_indexed | 2024-03-11T16:51:31Z |
| publishDate | 2023-10-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj.art-83a71174eaa34346b6cfd2c298393f9d2023-10-21T06:44:47ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072023-10-0136410.30526/36.4.3140Building an Analytical Method to Study Cantilever Beam Dynamic ResponseSamaher M.Sarhan0Department of Mechatronics Engineering, Al-Khwarizmi College of Engineering, University of Baghdad, Baghdad, 10071, Iraq.";} Cantilever beams are used in many crucial applications in machinery and construction. For example, the airplane wing, the microscopic probe for atomic force measurement, the tower crane overhang and twin overhang folding bridge are typical examples of cantilever beams. The current research aims to develop an analytical solution for the free vibration problem of cantilever beams. The dynamic response of AISI 304 beam represented by the natural frequencies was determined under different working surrounding temperatures ((-100 ℃ to 400 ℃)). A Matlab code was developed to achieve the analytical solution results, considering the effect of some beam geometrical dimensions. The developed analytical solution has been verified successfully with real experimental data and the error was not exceeded 1%. Keywords: analytical solution, cantilever beam, free vibration, mathematical modeling. https://jih.uobaghdad.edu.iq/index.php/j/article/view/3140Keywords: analytical solution, cantilever beam, free vibration, mathematical modeling. |
| spellingShingle | Samaher M.Sarhan Building an Analytical Method to Study Cantilever Beam Dynamic Response Ibn Al-Haitham Journal for Pure and Applied Sciences Keywords: analytical solution, cantilever beam, free vibration, mathematical modeling. |
| title | Building an Analytical Method to Study Cantilever Beam Dynamic Response |
| title_full | Building an Analytical Method to Study Cantilever Beam Dynamic Response |
| title_fullStr | Building an Analytical Method to Study Cantilever Beam Dynamic Response |
| title_full_unstemmed | Building an Analytical Method to Study Cantilever Beam Dynamic Response |
| title_short | Building an Analytical Method to Study Cantilever Beam Dynamic Response |
| title_sort | building an analytical method to study cantilever beam dynamic response |
| topic | Keywords: analytical solution, cantilever beam, free vibration, mathematical modeling. |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/3140 |
| work_keys_str_mv | AT samahermsarhan buildingananalyticalmethodtostudycantileverbeamdynamicresponse |