Vibrations and Mechanical Waves

This course material, titled "Vibrations and Mechanical Waves" (Physics 3), has been developed and presented in accordance with the curriculum framework for the Licence LMD-S3 program in the fields of Material Science (SM) and Science and Technology (ST).

The course is structured into two main parts:

  • The first part, divided into five chapters, focuses on the study of vibrations.

    • Chapter 1 introduces the Lagrangian formalism, which describes the oscillations of physical systems.
    • Chapter 2 examines free linear oscillations (small-amplitude) in systems with a single degree of freedom.
    • Chapter 3 discusses damped motion, incorporating frictional forces proportional to velocity.
    • Chapter 4 explores forced oscillations and resonance phenomena.
    • Chapter 5 extends the study to vibrations in systems with multiple degrees of freedom.

  • The second part, covered in the last two chapters, is dedicated to the propagation of waves.

The course follows a logical progression, with each new concept introduced and clarified through simple yet practical examples. Additionally, a set of problems is provided to enhance understanding, ensuring effective student comprehension and mastery of the subject.