Vibration of Mechanical Systems uses a revolutionary approach to teaching the fascinating subject of vibration. Many, if not most, machinery failures have vibration as the root cause. It is hence imperative that mechanical, aerospace, naval, and structural engineers get a firm background in the theory and practice of vibrational analysis and design. This text is aimed at senior undergraduate and beginning graduate students. It uses ample design problems to illustrate vibrations concepts and theory. Most of the concepts are introduced by way of an example problem, which serves to motivate and arouse interest before the theory is presented. It imparts a clear understanding of vibration theory, its mathematics, and its relevance to engineering. Both students and practicing engineers will benefit enormously from well-integrated computer tools, simulations, and many practical examples included in this text.