Vibration Analysis of an Un-Cracked and Cracked Euler-Bernoulli Simply Supported Beam

Vibration Analysis of an Un-Cracked and Cracked Euler-Bernoulli Simply Supported Beam
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© 2024 by IJETT Journal
Volume-72 Issue-7
Year of Publication : 2024
Author : Malay Quila, Susenjit Sarkar
DOI : 10.14445/22315381/IJETT-V72I7P104

How to Cite?

Malay Quila, Susenjit Sarkar, "Vibration Analysis of an Un-Cracked and Cracked Euler-Bernoulli Simply Supported Beam," International Journal of Engineering Trends and Technology, vol. 72, no. 7, pp. 37-44, 2024. Crossref, https://doi.org/10.14445/22315381/IJETT-V72I7P104

Abstract
The existence of cracks in a structural member such as a beam results in a change in its physical characteristics, which inaugurates flexibility and thus decreases the stiffness of the structural member with an intrinsic reduction of mode shape natural frequencies. In consequence it leads to alteration in the dynamic response of the beam. This paper focuses on the theoretical investigation of the lateral vibration of an uncracked, simply supported beam and five-mode shape frequencies are explored. The uncracked, simply supported beam is customized by using the Euler-Bernoulli beam theory. Numerical results obtained through Finite Element Analysis software – “Ansys Workbench 17.0”, are used to compare with the theoretical values, and the percentage error between the two values is determined. Additionally, a model of the cracked simply supported beam with an open edge crack has been presented and free vibration analysis is done. The study investigates how mode shapes natural frequencies are altered due to the presence of cracks at different locations and with changeable depths.

Keywords
Simply supported beam, Free natural vibration, Mode shape natural frequency, Crack, FEM.

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