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Ecole nationale supérieure de l'Énergie, l'Eau et l'Environnement
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Engineering school in energy, water and environment
Our engineering & master degrees
Our engineering & master degrees

> Study at Ense3 > Double degrees > E3-STU-COURSES

General Mechanics - 3EMTAAL0

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  • Number of hours

    • Lectures : 12.0
    • Tutorials : 10.0
    ECTS : 2.0

Goals

To consolidate knowledge of cinematic and dynamics acquired previously by the students and to apply it to real systems in operating condition. Then, to develop new concepts and tools based on the Principle of Virtual Powers in order to be able to solve widely control and systems vibrations problems.

Contact Evariste OUEDRAOGO

Content

1-Introduction and calculation of kinetic energy, involving Mathematical tools for Mechanics, material point and solid cinematic, kinetic concepts including mass geometry, kinetic torsor expression and kinetic energy calculation.
2- Fondamental Principle of the Dynamics (FPD), definition of force concept, definition of the dynamic torsor, expression of the FPD.
3-Analytical mechanics: Principle of Virtual Powers, expression of the generalised parameters of a solid or of a system of solids in motion, expression of the Lagrange equations relative to the motion of system of solids, systems stability concepts, linearization of motion equations, vibrations.



Prerequisites

general mechanics notion
Mathematics, L2 (second year of high school) level

Tests

Final exam



Additional Information

Curriculum->Tronc commun->Semester 1

Bibliography

P. Brousse, Mécanique analytique, Vuibert, Paris, 1981.
D. Bellet, Cours de Mécanique Générale, Cepadues Editions, Toulouse, 1988.
M. Del Pedro et P. Pahud, Mécanique Vibratoire, Presses Polytechniques et Universitaires Romandes, Lausanne, 1982.
Muray R. Speigel, Mécanique Générale - Cours et problèmes, Série Schaum, 1972, 16 ème tirage.

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Université Grenoble Alpes