Now in an updated second edition, this classroom-tested textbook describes essential concepts in vibration analysis of mechanical systems.The second edition includes a new chapter on finite element modeling and an updated section on dynamic vibration absorbers, as well as new student exercises in each chapter. It incorporates the required mathematics, experimental techniques, fundamentals of modal analysis, and beam theory into a unified framework that is written to be accessible to undergraduate students, researchers, and practicing engineers. To unify the various concepts, a single experimental platform is used throughout the text to provide experimental data and evaluation. Engineering drawings for the platform are included in an appendix. Additionally, MATLAB programming solutions are integrated into the content throughout the text.The book is ideal for undergraduate students, researchers, and practicing engineers who are interested in developing a more thorough understandingof essential concepts in vibration analysis of mechanical systems. Presents a clear connection between continuous beam models and finite degree of freedom models; Includes MATLAB code to support numerical examples that are integrated into the text narrative; Uses mathematics to support vibrations theory and emphasizes the practical significance of the results.