Nonlinear vibration analysis of cantilever beams: Analytical, numerical and experimental perspectives
This study investigates the vibrational behavior of a mild steel cantilever beam with and without an attached end mass using experimental, numerical, analytical, and computational methods. Vibrational frequencies were determined using LABVIEW, MATLAB, and SOLIDWORKS, with analytical results derived...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818125000403 |
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| author | Qamar Abbas Rab Nawaz Haseeb Yaqoob Hafiz Muhammad Ali Muhammad Musaddiq Jamil |
| author_facet | Qamar Abbas Rab Nawaz Haseeb Yaqoob Hafiz Muhammad Ali Muhammad Musaddiq Jamil |
| author_sort | Qamar Abbas |
| collection | DOAJ |
| description | This study investigates the vibrational behavior of a mild steel cantilever beam with and without an attached end mass using experimental, numerical, analytical, and computational methods. Vibrational frequencies were determined using LABVIEW, MATLAB, and SOLIDWORKS, with analytical results derived from Euler-Bernoulli beam (EBB) theory. Experimental results closely matched MATLAB simulations, with an average percentage error of 1.44%, but showed a 14.44% deviation from analytical results due to neglected accelerometer mass. Findings highlight the importance of precise modeling, accounting for factors like damping and mass effects, to achieve accurate results. The study underscores the significance of resonant frequency identification in mitigating vibration failures in engineering systems. |
| format | Article |
| id | doaj-art-1eae081e199b4ede8a6548b240931a85 |
| institution | Kabale University |
| issn | 2666-8181 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-1eae081e199b4ede8a6548b240931a852025-02-09T05:01:34ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812025-03-0113101115Nonlinear vibration analysis of cantilever beams: Analytical, numerical and experimental perspectivesQamar Abbas0Rab Nawaz1Haseeb Yaqoob2Hafiz Muhammad Ali3Muhammad Musaddiq Jamil4Department of Mechanical Engineering, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi ArabiaCenter for Applied Mathematics and Bioinformatics (CAMB), Gulf University for Science and Technology, 32093 Hawally, Kuwait; Department of Mathematics, COMSATS University Islamabad, Park Road, Tarlai Kalan 45550, Islamabad, PakistanDepartment of Mechanical Engineering, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi ArabiaDepartment of Mechanical Engineering, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia; Interdisciplinary Research Center for Sustainable Energy Systems (IRC-SES), King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia; Corresponding authors.Department of Computer Science, Friedrich-Alexander-Universität Erlangen-Nürnberg, 91054, Germany; Corresponding authors.This study investigates the vibrational behavior of a mild steel cantilever beam with and without an attached end mass using experimental, numerical, analytical, and computational methods. Vibrational frequencies were determined using LABVIEW, MATLAB, and SOLIDWORKS, with analytical results derived from Euler-Bernoulli beam (EBB) theory. Experimental results closely matched MATLAB simulations, with an average percentage error of 1.44%, but showed a 14.44% deviation from analytical results due to neglected accelerometer mass. Findings highlight the importance of precise modeling, accounting for factors like damping and mass effects, to achieve accurate results. The study underscores the significance of resonant frequency identification in mitigating vibration failures in engineering systems.http://www.sciencedirect.com/science/article/pii/S2666818125000403Nonlinear vibration analysisCantilever beamsAnalyticalNumericalExperimental |
| spellingShingle | Qamar Abbas Rab Nawaz Haseeb Yaqoob Hafiz Muhammad Ali Muhammad Musaddiq Jamil Nonlinear vibration analysis of cantilever beams: Analytical, numerical and experimental perspectives Partial Differential Equations in Applied Mathematics Nonlinear vibration analysis Cantilever beams Analytical Numerical Experimental |
| title | Nonlinear vibration analysis of cantilever beams: Analytical, numerical and experimental perspectives |
| title_full | Nonlinear vibration analysis of cantilever beams: Analytical, numerical and experimental perspectives |
| title_fullStr | Nonlinear vibration analysis of cantilever beams: Analytical, numerical and experimental perspectives |
| title_full_unstemmed | Nonlinear vibration analysis of cantilever beams: Analytical, numerical and experimental perspectives |
| title_short | Nonlinear vibration analysis of cantilever beams: Analytical, numerical and experimental perspectives |
| title_sort | nonlinear vibration analysis of cantilever beams analytical numerical and experimental perspectives |
| topic | Nonlinear vibration analysis Cantilever beams Analytical Numerical Experimental |
| url | http://www.sciencedirect.com/science/article/pii/S2666818125000403 |
| work_keys_str_mv | AT qamarabbas nonlinearvibrationanalysisofcantileverbeamsanalyticalnumericalandexperimentalperspectives AT rabnawaz nonlinearvibrationanalysisofcantileverbeamsanalyticalnumericalandexperimentalperspectives AT haseebyaqoob nonlinearvibrationanalysisofcantileverbeamsanalyticalnumericalandexperimentalperspectives AT hafizmuhammadali nonlinearvibrationanalysisofcantileverbeamsanalyticalnumericalandexperimentalperspectives AT muhammadmusaddiqjamil nonlinearvibrationanalysisofcantileverbeamsanalyticalnumericalandexperimentalperspectives |