Informations générales
ECTSECTS
2
Goal(s)
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 “commands” and systems vibrations problems.
Content(s)
1-Introduction and calculation of kinetic energy, involving Mathematical tools for Mechanics, material point and solid cinematic, kinetic concepts including mass geometry, kinetic “torseur” expression and kinetic energy calculation.
2- Fondamental Principle of the Dynamics (FPD), definition of force concept, definition of the dynamic “torseur”, 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
Test
Final exam
Calendar
S1
Additional Information
14 h CM + 8 h TD
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.
French State controlled diploma conferring a Master's degree
