Dynamics of Mechanical Systems

This unit focuses on the study of mechanical systems as chains of rigid bodies connected by mechanical links.

Mechanical systems will be studied from a kinematic, sthenic, and energy perspective.

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

We’ll delve deeper into the two fundamental mechanics course units: kinematics and statics of rigid bodies (L1-S2) and dynamics of rigid bodies (L2-S3).

• Motion Transmission: Kinematic Torseur, Links, Simple Chains, Complex Chains, Cyclomatic Number, Kinematic Mobility
• Fundamental Principles of Dynamics: Matrix Geometry, Inertia Matrices, Kinetic and Dynamic Torseurs, Torseurs of Transmissible Forces in a Joint, Equations of Motion
• Kinetic energy, Power, Kinetic Energy Theorem, Lagrange's equations

Vector and Matrix Calculus

Course on Kinematics and Statics of Rigid Bodies

Course on Rigid Body Dynamics

Knowledge Test: 50%

1 Final Exam: 50%

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