Mechanical Waves and Vibrations Course and Exercises

Abstract

This handout is intended for 2nd-year engineer students specializing in the following fields: Technological Sciences (ST): Electrotechnics (ETT), Electronics (EN), Process Engineering and Civil Engineering (GC). It is a core module that deals with the oscillations of mechanical and electrical systems, a subject that has seen significant growth in recent years. This field has greatly contributed to the development of techniques capable of solving physical problems across various disciplines. This document is a detailed course with exercises. It is divided into two main parts: "Vibrations and Mechanical Waves," structured into five chapters listed below: Chapter I: Linear Systems with One Degree of Freedom. Chapter II: Free Damped Linear Systems with One Degree of Freedom. Chapter III: Damped Forced Oscillations: Systems with One Degree of Freedom. Chapter IV: Oscillations of multi-degree-of-freedom systems. Chapter V: Wave propagation We were compelled to condense the course slightly, as the subject is covered in a single 12-week semester, with one lecture and one tutorial per week. However, we have ensured that the essential content remains intact. Additional knowledge will be acquired in a separate subject, the "Vibrations and Mechanical Waves practical work, with a 3-hour lab session every 15days. Keywords Mechanical Waves, vibration, One Degree of Freedom, Two Degrees of Freedom