Modal Analysis of Beams Using Finite Element Methods

Journal: Journal of Civil and Construction Engineering Research (JCCER)  , Volume:1, Issue:1, Pages: 1-5 Download pdf

Authors: Amin A.M. Fadlalla 

Date: 10-2024

Abstract: In this development, a modal analysis of free-free and fixed-free beams undergoing free vibration is investigated in Ansys APDL (15.0) based on Finite Element Analysis (FEA) and analytically using Euler-Bernoulli beam theory. Three different materials including: Steel, Aluminum, and Copper are considered in this study. The numerical results obtained from FEA using Ansys are compared with the analytical solution based on Euler-Bernoulli beam formulation and a good agreement is found with a correlation factor (𝑅2) greater than 0.99. In addition, the natural frequencies for the free-free beam are found to be much higher than those of the cantilever beam and the natural frequencies enlarge by increasing the mode number in both of the cases.  

Keywords: modal analysis, beams, vibration, FEM, Ansys 

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