Department of Fundamental Education in Science and Technology

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

Lecturer	Nor REBAH
Information	Bachelor - 2nd Year Electro-Mecanical Engineering Department of Fundamental Education in Science and Technology Website : https://www.univ-soukahras.dz/en/module/3001 Semester : S3 Unit : UEF 2.1.1 Credit : 4 Coefficient: 2
Content	Part A: Vibration Chapter 1: Introduction to Lagrange equations 1.1 Lagrange equations for a particle 1.1.1 Lagrange equations 1.1.2 Case of conservative systems 1.1.3 Case of speed-dependent friction forces 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 2.1 Undamped oscillations 2.2 Free oscillations of damped systems Chapter 3: Forced oscillations of systems with one degree of freedom 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 4.1 Introduction 4.2 Systems with two degrees of freedom Chapter 5: Forced oscillations of systems with two degrees of freedom 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 1.1 General and basic definitions 1.2 Propagation equation 1.3 Solution of the propagation equation 1.4 Sinusoidal traveling wave 1.5 Superposition of two progressive sinusoidal waves Chapter 2: Vibrating strings 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 3.1 Wave equation 3.2 Speed of sound 3.3 Sinusoidal traveling wave 3.4 Reflection-Transmission Chapter 4: Electromagnetic waves 4.1 Wave equation 4.2 Reflection-Transmission 4.3 Different types of electromagnetic waves
Evaluation	Continuous monitoring: 40%; Final exam: 60%.