Mechanical Vibrations designed as a text for senior undergraduate and graduate students covers both analytical and physical aspects of mechanical vibrations. Each chapter consists of a concise but thorough fundamental statement of the theory, principles and methods. The classical methods of mechanical vibrations i.e. free vibration of single degree of freedom systems, harmonically forced vibrations of single degree of freedom systems, general forcing conditions and response, two degree of freedom systems, multi degree of freedom systems, analytical dynamics Lagrange’s equation of motion, vibration of continuous systems, and approximate methods for finding natural frequencies and mode shapes, dynamic response by direct numerical integration methods, vibration control, and introduction to finite element method are covered in detail. In addition to students, practicing engineers should find this book immensely useful. All the end-of chapter problems are fully solved in the Solution Manual available only to Instructors.

• • The text is devoid of rigorous mathematics • Draws a balance between theory and practice • Chapters on vibration control and finite element method • Presents a large number of solved/unsolved problems • Over 180 example problems and solutions and over 460 unsolved exercise problems • A wide range of analytical models for mechanical vibration analysis and their solutions • Appendices provide overview of Vector algebra, Matrix analysis, Fourier series, and Laplace transforms • Programming examples using MATLAB software

Preface / Introduction / Free Vibration of Single Degree of Freedom Systems / Harmonically Forced Vibrations of Single-Degree-of-Freedom Systems / General Forcing Conditions and Response / Two-Degree of Freedom Systems / Multi-Degree-of-Freedom Systems / Lagrange’s Equation / Vibration of Continuous Systems / Approximate Methods for Finding Natural Frequencies and Mode Shapes / Appendices / Glossary of Terms / Glossary of Symbols / Answers to the Selected Problems / Bibliography / Index / About the Author

Senior Undergraduate and Graduate Students of Engineering