Fundamentals of the Theory of Mechanical Vibrations

This book presents the fundamental concepts of modeling and analysis of vibrations in mechanical systems with one or more degrees of freedom. The presentation of classic topics is enriched by discussions on equilibrium, stability, and the linearization of the equations of motion. Practical examples throughout the text illustrate the applicability of the theory and explore the physics behind the equations. This book includes various Matlab codes, which allow readers to modify parameters and investigate the behavior of a wide range of mechanical systems. Furthermore, it is demonstrated how some of the mechanical systems studied can be constructed using ordinary materials, enabling readers to compare the theoretical results predicted by the mathematical models with the actual observed behavior.

1. Front Matter

2. The Equation of Motion of Systems with One Degree of Freedom

3. Free Vibration of Systems with One Degree of Freedom

4. Forced Vibration of Systems with One Degree of Freedom

5. Equations of Motion of Systems with Multiple Degrees of Freedom

6. Free and Forced Vibrations of Systems with Multiple Degrees of Freedom

7. Back Matter