The course deals with kinematics and dynamics of mechanical systems, with reference to systems of rigid bodies.

The student:
-knowledge and understanding: is capable of analysing kinematic and dynamic behaviour of rigid bodies;
-making judgements: is able to make proper choices when designing mechanisms and constraints within a product.

Introduction

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.

Relative motions.

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.

Reaction forces.

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”.

No pre-requisites for teaching attendance are required

The exam consists of a written and an oral part. 

It is necessary to get a sufficient mark in the written exam to be admitted to the oral exam.

During the written part students will be asked to solve some exercises on kinematics and dynamics of rigid bodies.

During the oral part students will be asked ask to comment their written exam, and to answer some theory questions, aimed at evaluating the depth of their understanding.  

Students aiming at a high mark will be also asked to present their work consisting in kinematic or dynamic analysis developed with Solidwork software.