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
• Design, evaluate and optimise solutions addressing the problem
• Implement a chosen solution in the form of a drawing, a schema, a plan, a model, a prototype, software and/or digital model
• Communicate the approach, results and prospects to a client or a board
• 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
• Demonstrate thoroughness and independence throughout their studies
• Demonstrate self-awareness, asses themself, and develop appropriate learning strategies.
• Develop their scientific curiosity and open-mindedness

Learning Outcomes of UE

Ability to mathematically model a complex engineering problem, in the discipline of mechanics and exploit that model.
In particular:    
- Develop solid and system dynamics.
- Establish the number of degrees of freedom of a system.
- Establish the equations of a system of solids.
- Calculate the bonding reactions.
- Solve numerically a system of ordinary differential equations of order 2.
 

UE Content: description and pedagogical relevance

Default Content- Solid Kinematics in 2-D and 3-D. Virtual works. Moments, products and tensors of inertia. Solid state kinetics and general theorems. Lagrange equations. Dynamics of solid systems. Variable mass systems (including applications to space i.e. spatial dynamics) Numerical solution of equations of motion.
Optional content (depends on the year) - Hamiltonian theory. Variational principles. Kepler's laws. Shocks in solid systems. Chaos. Celestial mechanics

 

Prior Experience

The course is based on bachelor BA1 courses : algebra, analysis, mechanics (systems statics and point dynamics), physics, informatics  and introduction to engineering sciences.
More particularly, the following concepts are assumed to be mastered : free body diagram, partial and total derivatives of a function with n variables, equilibrium equations, analytical solving of simple ODE2 equations, among which the harmonic oscillator (ODE  = ordinary differential equations)