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Mécanique des systèmes de solidessciences Appliquées et Industrielles 3 (STPI)
7ECTS (EU)
2Coefficient
36:00Hours
Séquencement
Learning objectives
- Master the modelling of unformable solid systems in order to be able to qualitatively determine the dimensional and geometrical constraints guaranteeing assembly and operation.
- Conduct a kinematic, static and dynamic study using conventional solid mechanics tools.
Prerequisites
| Module | Teaching unit | Semester |
|---|---|---|
| Point Mechanics | Applied and Industrial Sciences 1 | S1 |
| Statics of Systems and Mechanism Studies | Applied and Industrial Sciences 2 | S2 |
Program
- Solids cinematic: marker, parameterization, vectors position, speed and acceleration, bypass, range of speeds of a solid: kinematic torso, links, field of accelerations, composition of movement, graph of connections, chain closures.
- Linetics: inertia operator, kinetic and dynamic torsors, kinetic energy.
- General theorems and implementation: graph of links (revision on the modeling of a mechanical action), boundary of isolation and axis of projection, equation of movement, case of a non-Galilean reference.
- Energy: Power, potential, work, kinetic energy theorem and applications.
- Applications: gyroscopic torque, balancing, percussion center, vibration of discrete systems at 1 and 2 degrees of freedom, modeling contact by Coulomb law.
Assessment
Written exam without document or calculator. Continuous check from 2 supervised written tests: 1CC + 1DS. Weight: note=max(0.33CC + 0.67DS; DS)
References
- Y. Brémont, P. Reocreux, "Mechanics 1, 2 and 3 – courses and solved exercises", Ellipses.
- P. Agati, Y. Brémont, G. Delville, "Mechanics of solids – app. Indus." Dunod..
- Mr. Lajoie, B. Lodier, "Mechanics and mechanisms in preparatory class (courses, methods and exercises commented)", Ellipse.
- J.-C. Bone, M. Boucher, Morel, "General Mechanics – Courses and Applications", Dunod.
- S. Pommier, Y. Berthaud. General Mechanics (corrected courses and exercises), Dunod.
Skills
8| Ref. | Verb | Description | Level |
|---|---|---|---|
| C_1_2 | describe | Describe the operation of a mechanical system composed of unformable solids, model and set it for static, kinematic or dynamic study | 3 |
| C_1_2 | summarize | Understanding the concept of percussion center, gyroscopic phenomenon, and the principle of balancing a solid turning point | 2 |
| C_1_3 | demonstrate | Establish the expressions of the reduction elements associated with inter-force torsos, and kinematic, kinetic and dynamic torsos for a parameterized mechanism | 3 |
| C_1_3 | demonstrate | Establish the kinematic input-output law of a mechanical system | 3 |
| C_1_3 | demonstrate | Determine the relationships linking the motion parameters of a rigid solid system to the external actions acting on the system, using the fundamental principle of kinetic energy dynamics and/or theorem | 2 |
| C_1_3 | plan | Establish the PFD approach for calculating the motion equations of a rigid solid system. | 3 |
| C_1_3 | calculate | Assessment of mechanical actions applied to a system | 3 |
| C_1_3 | calculate | Calculate the dynamic torso of a solid system. | 2 |