Modal Analysis of Simple Structures: Comparison Between Analytical, Numerical, and Experimental Methods

Better understanding of the dynamic behavior of structures is as important as using reliable methods to determine the dynamic behaviour. This study started by describing the importance of dynamic analysis in structures, and further exploring what is meant by “Modal Analysis” and the different methods used in obtaining the Modal properties of a simple structure. First, using “Mathematical Methods”, a “Simple Beam Element” was analyzed with Analytical analysis and Numerical modelling. In the Numerical model, the beam was modelled twice with different boundary conditions. The results of the mathematical methods were compared. Second, using “Experimental Methods”, the same simple beam element was analyzed using “Impact Testing” methods of experimental modal analysis. The results gotten with experimental methods were compared with both the analytical and numerical methods, and the comparison between these results shows that the errors are within reasonable range, and it will help future engineers to better design and develop engineering components.