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Vibration is a pervasive phenomenon. In a broad sense, it represents the give-and-take required to achieve ultimate balance in any discipline, and it plays a particularly important role in engineering.This third and comprehensively revised edition to Mechanical Vibration: Analysis, Uncertainties, and Control addresses the fundamental principles of vibration theory, emphasizing its application in solving practical engineering problems. The authors focus on strengthening the engineer’s command of mathematics as a cornerstone for understanding mechanical vibration and two related fields, namely, control and uncertainties. To this end, the text provides a detailed exploration of the essential equations involved in modeling vibrating systems. It develops formulations and explanations to convey significant information and build the analytical skills that are a prerequisite for the use of advanced language tools such as MATLAB to analyze specific problems. Straightforward and easy-to-follow, this volume presents the format, content, and depth of description that the authors themselves would have found useful when they first learned the subject. It assumes a basic knowledge of dynamics, mechanics of materials, differential equations, and some knowledge of matrix algebra.The material is organized to afford great flexibility regarding course level, content, and usefulness in self-study for practicing engineers. The book includes a wealth of example problems and explanatory figures, as well as biographies of renowned contributors and access to a MATLAB primer featuring original programs that can be used to solve complex problems and test solutions.