MODELING AND SIMULATION OF MECHANICAL SYSTEMS

The main aim is bringing students to create numerical models suitable to simulate dynamics of complex mechanical systems, both in time and frequency domain, thus studying stability to applied force fields. Fundamental techniques of discretization of mechanical systems will be provided and specific numerical codes (Matlab ®, Simulink ®) will be used to solve equations of motion.

Taught class, Matlab lessons, vibration Lab.

Should teaching be carried out in mixed mode or remotely, it may be necessary to introduce changes with respect to previous statements, in line with the programme planned and outlined in the syllabus.

Modeling of n-degrees of freedom mechanical systems with lumped parameters: motion equations, basic principles of multibody method, non-linear static equilibrium calculation, linear analysis (eigensolution and frequency response), modal decomposition, linear systems with non-linear forces and time integration. Examples in Matlab ® (ride-comfort of a passenger car).

Vibration in continuous systems: cables and beams, frequencies and modes calculation, modal decomposition, structural and hysteretical damping.

Finite Element Method: shape functions for 1-D elements (cables and beams), calculation examples, frequency response function, Matlab examples.

Mechanical systems with 1 or 2 dofs subjected to force fields: analysis of stability and practical examples (airfoils, bearings, Matlab exercises).

Vehicle dynamics: tire-to-road interaction, basic models for longitudinal and lateral dynamics in pure-slip, stability in turns, quarter-car model.

Basic principles of experimental modal analysis with practical examples at laboratory and measurements of vibration.

1) G. Diana, F. Cheli, “Advanced Dynamics of Mechanical Systems”, Springer

2) G. Genta, L.Morello, "The automotive chassis", Volume 2: system design, Springer