Modeling methods for mechanical systems.
Maths revision: scalars, vectors, scalar and vector product, derivatives, integrals.
Kinematics and dynamics of particles
Kinematics: Position, velocity and acceleration vectors in a plane, trajectory of a particle.
Statics and dynamics of particles: Newton laws of motion.
Kinematics of a rigid body
Kinematics of a rigid body: motions and instantaneous motion, angular velocity and acceleration, instantaneous centre of velocity.
Hints to systems of rigid bodies.
Mass properties of rigid bodies
Centre of mass, mass moment of inertia.
Static and dynamics of rigid bodies
Constraints, static equilibrium equations.
Inertia force and torque, D'Alémbert principle and dynamic equilibrium equations.
Hints to internal actions in system of rigid bodies.
Mutual actions in machinery elements
Contact between bodies, static and dynamic friction, rolling resistance.
During the course the students will also learn how to solve the kinematics and dynamics of rigid bodies by means of the software “solidworks”.