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Mechanical Vibrations: Theory and Applications presents the basic principles of engineering vibrations and introduces students to a strategic framework to advance their knowledge and skill in engineering problem-solving. The opening chapter reviews key topics, including mathematical modeling, dimensional analysis, dynamics, and more. Chapter 2 focuses on the elements that comprise mechanical systems and the methods of mathematical modeling of ...

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This presents a comprehensive theory by tying together the theory and analysis methods for vibrations of discrete systems and vibrations of continuous systems with a unified mathematical theory. It covers vibrations in single degree of freedom systems, calculus of variations, linear algebra, operators for vibration problems, free vibrations of conservative and non-conservative systems, forced response, and variational methods. It also includes...

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A graduate level text, this book presents a unique combination of theoretical mathematics and engineering applications. It demonstrates the relationship between advanced mathematics and engineering principles, introduces engineering mathematics at a theoretical level, and includes functional analysis topics such as vector spaces, inner products, and norms.

Providing a unified understanding of vibration analysis for graduate students and industry professionals, Advanced Vibration Analysis presents a comprehensive theory for the advanced analysis of vibrations. This book ties together the theories and analysis methods for vibrations of discrete systems and vibrations of continuous systems with a unified mathematical theory. It covers vibrations in single degree of freedom systems, calculus of vari...