Advanced Vibration Analysis Techniques

This course covers three critical lessons on advanced vibration analysis techniques. The first lesson delves into the concept of approximate approaches for vibration analysis, focusing on the release method. It provides an understanding of how this method can be applied to both discrete and continuous systems, using real-world examples. The second lesson explores vibration analysis and the application of Rayleigh's method in determining natural frequencies. It illustrates the principles of energy minimization and the use of assumed deflected functions through examples of a non-uniform beam and a cantilever beam. The final lesson introduces the Galerkin and Finite Difference Methods, two types of approximant methods used in vibration analysis. It explains how these methods can be applied to solve problems, using a simply supported beam as an example.