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
• Select and rigorously apply knowledge, tools and methods in sciences and engineering to solve problems involving these disciplines
• 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

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).  

UE Content: description and pedagogical relevance

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; strength of materials.