Nonlinear vibration analysis of cantilever beams: Analytical, numerical and experimental perspectives

Abbas Q, Nawaz R, Yaqoob H, Ali HM, Jamil MM (2025)

Publication Type: Journal article

Publication year: 2025

Journal

Partial Differential Equations in Applied Mathematics Elsevier

Book Volume: 13

Article Number: 101115

DOI: 10.1016/j.padiff.2025.101115

Abstract

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.

Involved external institutions

Gulf University for Science & Technology KW Kuwait (KW) King Fahd University of Petroleum and Minerals (KFUPM) SA Saudi Arabia (SA)

How to cite

APA:

Abbas, Q., Nawaz, R., Yaqoob, H., Ali, H.M., & Jamil, M.M. (2025). Nonlinear vibration analysis of cantilever beams: Analytical, numerical and experimental perspectives. Partial Differential Equations in Applied Mathematics, 13. https://doi.org/10.1016/j.padiff.2025.101115

MLA:

Abbas, Qamar, et al. "Nonlinear vibration analysis of cantilever beams: Analytical, numerical and experimental perspectives." Partial Differential Equations in Applied Mathematics 13 (2025).

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