Materiaux (05_XCMAT)
- Coefficient : 1.5
- Hourly Volume: 80.0h (including 36.0h supervised)
- CTD : 36h supervised (and 6h unsupervised)
- Out-of-schedule personal work : 38h
AATs Lists
Description
The course is presented in the form of a flipped classroom project. Students work in teams of 3 or 4. The resources contain lesson points as well as corrected examples. Addressed points :
- Parameterization of a mechanical system
- Application of the Fundamental Principle of Dynamics to a system of solids
- Calculations of Mechanical Energies and Powers associated with the system considered and application of Lagrange equations
- Study of equilibrium positions and their respective stability after linearization of the equations of motion and application of Liapounov's theorem
Learning Outcomes AAv (AAv)
At the end of this course, the student should be able to
AAv1 [heures: 5,B3] : PPropose a configuration of the system considered. For that, Give the minimal kinematic diagram of the system. Assign a marker to each kinematic assembly. Graphically represent the passage from one rotating reference to another and give the associated rotation speed vector.
AAv2 [heures: 5,B3] : Apply the PFD to determine the equations of motion representing the dynamic behavior of the system considered. For that, A system to be isolated is selected and its choice is justified. The BAME and BQA are applied to the isolated system and the movement of the torsors to a point, if necessary, is justified. The equations from the PFD are projected onto the relevant axes.
AAv3 [heures: 5,B3] : Use the Lagrange equations to determine the equations of motion representing the dynamic behavior of the system considered. For that, The mechanical energies and powers external and internal to the system are calculated. Lagrange equations are applied.
AAv4 [heures: 10,B3] : Analyze the equations of motion in order to determine the equilibrium positions of the system and their respective stability. For that, The system of equations of motion is rewritten in the case of equilibrium and the positions thus determined. The differential system is linearized around the different equilibrium positions and the Liapounov theorem applied. The system is solved numerically in particular cases in order to validate the dynamic behaviors highlighted by Liapounov.
AAv5 [heures: 5,F2] : Synthetically reproduce oral work using a presentation support For that, The team's work is summarized by a rapporteur on a weekly basis using free support in paper or digital format. The approach followed by the group is described and carefully justified. The results presented are analyzed and criticized.
Assessment methods
Oral team assessments, individual questions on sheets
Key Words
Fundamental principle of dynamics (equations of motion), Lagrange equations, Liapounov theorem.
Prerequisites
Mechanics courses from semesters S1 to S4.