1. Introduction to vibration
a. What is vibration
b. Industrial issues
c. Degrees of freedom of a system
d. Reminder stiffness, mass, inertia
e. Motion equation for one degree of freedom system
2. Two degrees of freedom system
a. Motion equations based on an example
b. Matrix notation
c. Free motion – Eigenvalues and vectors
d. Equations decoupling
e. Forced motion
3. Damping – frequency response
a. What is damping
i. Viscous
ii. Structural
b. How to model it
i. Impact on the equation
4. Vibration isolation and reduction
a. Passive isolation
b. Active isolation
5. Weighted thread
a. Exercise with three degrees of freedom
b. Extension of what was seen to continuous system
6. Vibration experiments
From measured data to frequency response

• • Jet propulsion systems and their performance criteria applied to Air-Breathing and Rocket engines: Thrust; Specific Impulse;Propulsion efficiency; Tsiolkovsky rocket equation; Breguet aircraft equation.
• Fundamental of Compressible flows: Mach number and thermodynamics of compressible flows; Shockwaves; Conservationlaws; application to Isentropic flows.
• Rocket engine design: Stagnation and critical states; operating mode of nozzles in rocket engines; influence of combustionpressure and temperature and of nozzle geometry on the thrust finally produced. Calculation of the resulting specific impulse.
• Propulsion systems combustion processes: influence of fuel composition and of Air-Fuel Ratio on the performance of air-breathing combustion processes; use of liquid and solid propellants in rocket engine combustion processes.
• Air-breathing propulsion turbomachines: Thermodynamic cycles used in turbojet or turbofans engines; influence of pressureratios, air and fuel mass flow rates, blades geometries on the engine performances (specific impulse, propulsion efficiency andspecific fuel consumption).

This course introduces the student to the subject of Computational Fluid Dynamics, as well as numerical methods for predicting fluid flows and heat transfer in flows. This course aims to help students get a good level of expertise in flow modeling for engineering applications by conducting practical work on a well-known commercial tool.
Lectures content (6h)
• Introduction to CFD: CFD fundamentals, principles, and steps
• Turbulence modeling for CFD part I: Turbulence characteristics and properties, Mean-flow equations
• Turbulence modeling for CFD part II: Turbulent-viscosity models (RANS models), Near-wall treatments
Practical work: (16h)
• Introduction to Ansys Fluent CFD tool: Fluid Flow and Heat Transfer in a Mixing Elbow
• Practice on Ansys Fluent CFD tool: Modeling external Compressible Flow
• Practice on Ansys Fluent CFD tool: Modeling Transient Compressible Flow
• Practice on Ansys Fluent CFD tool: Assessment project

Macromolecules: degree of polymerization, tacticity, synthesis.
Polymers: structures, thermoplastics, thermosets, state changes, thermal and mechanical properties, additives.
Specific applications of polymers. The use of conductive polymers, bio-sourced and biodegradable polymers, polymers for packaging or fuel cells are discussed. The interest of developing copolymers is also treated.

Choice of topic: Students select a project topic in agreement with their supervisor. The topic can be technical (such as developing an application, data analysis, etc.).

Implementation: Execution of the project according to the established plan, with possible adjustments based on needs and unforeseen circumstances.

Write-up: Compilation of results, analysis, and conclusions into a written document.

Preparation for the defense: Preparation of a structured and convincing oral presentation.

This course is an introduction to the carbon footprint calculation method proposed by a French association, "Association Bilan Carbone".
It will consist of a :
- Reminders about Green House Gases and introduction to global warming potential
- Definition of carbon footprint
- Definition of the 3 scopes
- Presentation of the carbon Footprint computation method
- Presentation of th Carbon Footprint approach

Introduction to experience plans :
- What is an experience plan and how to implement it ?
- Several notions : factors, levels of the factors, mathematical model
- Experience plans : 2 factors and 2 levels
- Experience plans : 3 factors and 2 levels

Product FMECA :
One case of study to understand what is the purpose of product FMECA and how to implement it : how to reduce the problem at the conception phase of a product

Lean-6 sigma tools :
Discovery of the different lean tools in the context of a problem-solving approach :
- What is the Lean (context and historical approach)
- What is 6 sigma (context and historical approach)
- What are the tools related to these topics (DMAIC, 5S, Ishikawa, root causes : 5W…)
- Possiblity to implement all of these tools with one tutorial : A3 problem solving method.

This course covers the basic characteristics of DC and AC motors and describe their principle of operation and control within a power electronic environment. Basics in power electronics, electric machines and control circuits are reviewed and the overall systems is studied. Control techniques for DC drives are underlined and the four-quadrant operation is analysed. Control strategies for AC drives are discussed as well, mainly the scalar control, the field oriented control and the direct torque control. Detailed modelling of the control of induction motors using the FOC method is carried out.

o Electrical Machines Drives – General Overview: Review on Control Systems, Review on Power Electronics, Review on Electrical Machines
o DC Motors Control: Introduction to DC Drives, Four-Quadrant Control, Closed Loop Control, Electronic Control
o AC Motors Control: Basic Control of Induction Motors (Vs, Vr, F, V/F), Scalar Control
o AC Motors Control: Understanding the Challenges, Park Transformation (dq domain), Dynamic Model of Induction Motors, DC Machine Analogy, Field Oriented Control