Department of Fundamental Education in Science and Technology

https://www.univ-soukahras.dz/en/dept/st

Lecturer	Abd-Ennour SAMMAR
Information	Bachelor - Second Year : Chemical engineering Department of Fundamental Education in Science and Technology Website : https://www.univ-soukahras.dz/en/module/2377 Semester : S3 Unit : UEF 2.1.1 Credit : 4 Coefficient: 2
Content	Content of the subject : Preamble: This subject is divided into two parts, Waves and Vibrations, which can be taken independently of each other. Because of the consistency of this subject in terms of content, it is advisable to approach this subject in this order: Waves and then Vibrations for Electrical Engineering students (Group A). Students in Groups B and C (Civil Engineering, Mechanical Engineering and Process Engineering) should start with Vibration. In any case, the teacher is required to do his best to cover both parts. Remember that this subject is intended for engineering professions in the Science and Technology field. The teacher is therefore asked to skim over all the parts of the course that require demonstrations or theoretical developments and to focus only on the application aspects. Moreover, the demonstrations can be the subject of an auxiliary work to be asked to the students as activities within the framework of the personal work of the student. In this respect, please refer to the paragraph \'\'G- Student assessment through continuous assessment and personal work\'\' in this course syllabus. Part A: Vibrations Chapter 1: Introduction to Lagrange equations 2 weeks 1.1 Lagrange equations for a particle 1.1.1 Lagrange equations 1.1.2 Case of Conservative Systems 1.1.3 Case of velocity-dependent friction forces 1.1.4 Case of a time-dependent external force 1.2 System with Several Degrees of Freedom. Chapter 2: Free oscillations of systems with one degree of freedom 2 weeks 2.1 Undamped Oscillations 2.2 Free Oscillations of Damped Systems Chapter 3: Forced Oscillations of Systems with One Degree of Freedom 1 week 3.1 Differential Equation 3.2 Mass-Spring-Damper System 3.3 Solution of the differential equation 3.3.1 Harmonic excitation 3.3.2 Periodic excitation 3.4 Mechanical impedance Chapter 4: Free oscillations of systems with two degrees of freedom 1 week 4.1 Introduction 4.2 Systems with Two Degrees of Freedom Chapter 5: Forced Oscillations of Systems with Two Degrees of Freedom 2 weeks 5.1 Lagrange Equations 5.2 Mass-Spring-Damper System 5.3 Impedance 5.4 Applications 5.5 Generalization to systems with n degrees of freedom Part B: Waves Chapter 1: One-dimensional propagation phenomena 2 weeks 1.1 General points and basic definitions 1.2 Propagation equation 1.3 Solution of the Propagation Equation 1.4 Sinusoidal Travelling Wave 1.5 Superposition of Two Sinusoidal Travelling Waves Chapter 2: Vibrating Strings 2 weeks 2.1 Wave equation 2.2 Harmonic Travelling Waves 2.3 Free Oscillations of a String of Finite Length 2.4 Reflection and Transmission Chapter 3: Acoustic Waves in Fluids 1 week 3.1 Wave Equation 3.2 Speed of Sound 3.3 Progressive Sinusoidal Wave 3.4 Reflection-Transmission Chapter 4: Electromagnetic Waves 2 weeks 4.1 Wave equation 4.2 Reflection-Transmission 4.3 Different types of electromagnetic waves
Evaluation	Contrôle continu : 40 % ; Examen final : 60 %.