Mechanical systems dynamics

This EU concerns the study of mechanical systems as chains of rigid solids connected to each other by mechanical links.

The study of mechanical systems will be conducted from a kinematic, sthenic, and energetic perspective.

The concepts of torsors, connections, the Fundamental Principle of Statics, geometry of masses, the Fundamental Principle of Dynamics, and energy will be revisited in the study of mechanical systems to determine connection forces and equations of motion.

We emphasize the two fundamental mechanical engineering units: kinematics and statics of rigid bodies (L1-S2) and dynamics of rigid solids (L2-S3).

• Motion transmission: Kinematic torque, connections, simple chains, complex chains, cyclomatic number, kinematic mobility
• Fundamental principle of dynamics: Matrix geometry, inertia matrices, kinetic and dynamic torques, torques of forces transmissible in a connection, equations of motion
• Kinetic energy, Power theorem of kinetic energy, Lagrange equations

Vector and matrix calculus

EU on kinematics and statics of rigid solids

EU of rigid body dynamics

Knowledge Test: 50%

1 Final exam: 50%

Règle du max : note finale = max{ET, (50%CC+50%ET)}