Handout Waves and Vibrations : Course

Abstract

This course handout is intended for second-year undergraduate students (LMD system) specializing in chemistry and physics. It covers a foundational module on the oscillations of mechanical and electrical systems, a topic that has seen significant growth in recent years. It has led to the considerable development of techniques for solving physical problems in various fields. This document provides a detailed course with worked examples. It is divided into two main parts: "Vibrations and Mechanical Waves," which are further divided into five chapters. These chapters are listed below: CHAPTER I : FREE UNDAMPED OSCILLATIONS AT ONE DEGREE OF FREEDOM CHAPTER II : DAMPED FREE OSCILLATIONS WITH ONE DEGREE OF FREEDOM CHAPTER III : DAMPED FORCED OSCILLATIONS WITH ONE DEGREE OF FREEDOM CHAPTER IV : N DEGREES OF FREEDOM CHAPTER V : WAVES The second part contains one chapter recommended to introduce the basic phenomena related to the propagation of mechanical waves in different material media. To this end, we have taken the vibrating cord as a model. The objective sought is to provide students with elements that will allow them to enrich their knowledge on the one hand, and on the other hand, help them to better master the problems they may encounter in this module.