Department of Fundamental Education in Science and Technology

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

Lecturer	Nor REBAH
Information	Bachelor - Second Year : Electrotechnology Department of Fundamental Education in Science and Technology Website : https://www.univ-soukahras.dz/en/module/2195 Semester : S3 Unit : UEF 2.1.1 Credit : 4 Coefficient: 2
Content	Part A: Vibration 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 friction forces depending on the speed 1.1.4 Case of an external force depending on time 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-shock absorber system 5.3 Impedance 5.4 Apps 5.5 Generalization to systems with n degrees of freedom Part B: Waves Chapter 1: Phenomena of one-dimensional propagation 2 weeks 1.1 General and basic definitions 1.2 Equation of propagation 1.3 Solution of the propagation equation 1.4 Traveling sine wave 1.5 Superposition of two traveling sine waves Chapter 2: Vibrating Strings 2 weeks 2.1 Wave equation 2.2 Harmonic Traveling 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 Traveling sine 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	Continuous control: 40%; Final exam: 60%.