Knowledge of the fundamentals of analytical and applied mechanics is necessary

The course is about the dynamics and stability of multibody mechanical sistems, with particular attention to their modelling and numerical resolution.

The course aims:
- to introduce a systematic approach to the writing of the equations of motion, for systems with n degrees of freedom, i.e. to the development of the mathematical model capable of defining the dynamic behaviour;

- to introduce the fundamentals of tribology in mechanical systems;

- to numerically solve the equations of motion for a multibody mechanical system;

- to provide the knowledge necessary for the study of dynamic stability for systems with one degree of freedom subjected to force fields and introduction of the control action as a force field.

Frontal lectures, with the support of multimedial content and with the adoption of CAE software for multibody simulations. Lab activities.

Oral examination and project

Detailed program:

- Dynamics: Lagrangian, momentum  and energy conservation.

- Rigid body and multi-body dynamics: Theory and computer-aided applications to complex mechanical systems.

- Fundamentals of tribology: mechanics of friction, adhesion and lubrication.

- Vibration dynamics of single degree of freedom (SDOF) systems: Theory of free and forced vibrations, with dissipation. Frequency response function.

- SDOF Vibration dynamics: Applications to constraint oscillations, rotating eccentric mass.
Damping identification methods: logarithmic decrement, resonance curve sharpness.

- Equations of motion of a linearized mechanical system: Modelling considerations, types of inputs, solutions with Laplace transforms; study of the frequency response, Bode diagram of elementary functions, outline of linearization procedures, algebra of block diagrams. Equilibrium position stability analysis and dynamic stability analysis.

There are no specifically prescribed or recommended texts for this subject.