DYNAMICS OF MECHANICAL SYSTEMS
cod. 18204

Academic year 2008/09
2° year of course - First semester
Professor
Academic discipline
Meccanica applicata alle macchine (ING-IND/13)
Field
Ambito aggregato per crediti di sede
Type of training activity
Hub-specific activity
45 hours
of face-to-face activities
5 credits
hub:
course unit
in - - -

Learning objectives

<p>The course is an advanced course in dynamics of mechanical systems. <br />
The students will be introduced to the processes of modelling mechanical system, to the development of the governing differential equations associated with dynamic mechanical systems and to the definition of possible methods of solution to the systems governing equation. <br />
</p>

Prerequisites

Mathematical analysis, physics, geometry, rational mechanics and applied mechanics are recommended.

Course unit content

<p>Introduction and definitions <br />
Examples of mechanical systems <br />
Different approaches to the dynamical study of mechanical systems <br />
Principles of dynamics: general considerations. <br />
Principle of virtual work, D’Alambert’s principle, Hamilton’s principle <br />
Lagrange equations for lumped and continuous systems <br />
Rayleigh-Ritz method <br />
Linearisation of the equations of motion <br />
Linear systems: convolution integral and impulse response <br />
Fourier transform and other transforms <br />
Introduction to frequency analysis <br />
Nonlinear problems <br />
Wave motion in elastic solids <br />
Wave and vibration in strings, bars and plates <br />
Group velocity and energy flow <br />
Reflection and transmission of elastic waves <br />
Wave motion in periodic structures <br />
Basic concept of the finite element method <br />
</p>

Full programme

- - -

Bibliography

<p>Suggested textbooks <br />
Ottorino Sesini , Meccanica applicata alle macchine, Milano : Casa editrice ambrosiana <br />
L. Meirovitch, Elements of Vibration Analysis, 2nd edition, McGraw Hill, 1986. <br />
K.F. Graff, Wave Motion in Elastic Solids, Dover, 1991. <br />
<br />
In-depth textbooks <br />
C. Lanzcos, The Variational Principles of Mechanics, Dover, 1986. <br />
A. Papoulis, The Fourier integral and its applications , McGraw-Hill, 1987. <br />
</p>

Teaching methods

<p>Laboratory activity <br />
Some exercises will be carried out in the lab, where the students will perform some numerical exercises using the software MATLAB <br />
<br />
Examination methods <br />
The exam consists in a written exam during the course and an oral exam at the end of the course. <br />
</p>

Assessment methods and criteria

- - -

Other information

- - -