Objectives of Programme's Learning Outcomes

• Implement an engineering approach dealing with a set problem taking into account technical, economic and environmental constraints
• Understand the stages of an engineering approach
• Identify and acquire the information and skills needed to solve the problem
• Understand the theoretical and methodological fundamentals in science and engineering to solve problems involving these disciplines
• Identify, describe and explain basic scientific and mathematical principles
• Identify, describe and explain the basic principles of engineering particularly in their specialising field
• Understand laboratory techniques: testing, measuring, monitoring protocol, and security
• Select and rigorously apply knowledge, tools and methods in sciences and engineering to solve problems involving these disciplines
• Collaborate, work in a team
• Interact effectively with other students to carry out collaborative projects.
• Communicate in a structured way - both orally and in writing, in French and English - giving clear, accurate, reasoned information
• Argue to and persuade customers, teachers and a board both orally and in writing
• Present analysis or experiment results in laboratory reports

Learning Outcomes of UE

To build and linearise, in a systematic way, the equations governing the motion of a mechanical system, by means of analytical or numerical tools.
To derive the modal properties, the free or forced response, in the frequency and time domains;
understand the basics of the finite element method when applied to the dynamic analysis of one-dimension mechanical systems.
To develop the spirit of criticism by developing, on the same application, theoretical, numerical and experimental aspects.
To get more autonomous while developing the ability to work in a group (laboratory by groups of two/three students with global objectives).

Content of UE

Discrete mechanical systems: construction and linearisation of equations of motion, stability, free or forced response, eigen frequencies and mode shapes, Rayleigh's ratio.
One-dimension continuous systems: constitutive equations, eigen frequencies and mode shapes, Rayleigh-Ritz method, finite element method.
Vibration measurement: sensors, acquisition of frequency response functions.

Prior Experience

Algebra; differential calculus; numerical methods; kinematics, statics and dynamics of mechanical systems; resistance of materials.

Type of Assessment for UE in Q2

• Presentation and/or works
• Written examination
• Quoted exercices

Q2 UE Assessment Comments

Intermediary exercise test involving the material seen during the course at that time : 20 % of the mark, maximal duration of 3 hours.
Global laboratory report and participation: 20 % of the mark.
The written examination lasts max 4 hours, is worth 60% of the mark, and consists of 2 parts
- a part about theory for which the students are allowed to consult their notes during 10 minutes (without writing) after reception of the question;

Type of Assessment for UE in Q3

• Written examination

Q3 UE Assessment Comments

The written examination lasts max 4 hours and consists of 2 parts
- a part about theory for which the students are allowed to consult their notes during 10 minutes (without writing) after reception of the question;
- a part consisting of original exercises.