Modelling of mechanical systems

Description

• Review of the basics of mechanics of a rigid body;
• Inertia tensor of rigid body;
• Kinematics of rigid bodies (coordinate transformation, description of velocity and acceleration in relatively moving frames, Euler angles);
• Kinetics of rigid bodies;
• Dynamics of rigid bodies (Newton’s laws, Kinetic energy theorem, equation of motion…);
• Friction - contact mechanics - tribological system;
• Application: gyroscopic stabilization, balancing of rotating bodies, wind turbine…

Compétences visées

The aim of this lecture is to provide the necessary knowledge in order to analyze and to model a mechanical system.
For that, this lecture includes :

• Notes on kinematics, kinetics and dynamics of a rigid body;
• Notes on inertia of a rigid body;
• Notes on the resolution of differential second order equation (motion equation…);
• Notes on friction and contact mechanics, lubrication and Hertz theory for mechanical transmission systems.

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