Modal Analysis of Cantilever Beam Using Analytical and Finite Element Method

This paper represents theoretical modal analysis of a cantilever beam using Euler-Bernoulli beam theory and finite element analysis is performed which allows to obtain the modes of vibration and natural frequencies of a cantilever beam. While designing mechanical system, the modal analysis plays a crucial role. The paper presents the numerical approach method using ANSYS workbench to analyse all the natural frequency of the beam and analytical method using Euler-Bernoulli theory and MATLAB is used to represent the mode shapes. This analysis is done to compare the results obtained by the above mentioned tools. The results shows that there are minute errors found after comparison and that can be neglected. So the analytical results are found to be same as ANSYS workbench results.