Dynamics of Mechanical Systems - (5 cfu)

Prof. Marco Amabili Tel. 0521 905896 - Fax. 0521 905705
  E-mail. marco.amabili@unipr.it
  Home page. http://me.unipr.it/mam/amabili/amabili.html


Finalità

The course introduces some elements of system dynamics based on energy approach. It gives methods of solution for lumped and continuous linear systems; it is the basis for further courses on dynamics and finite element method.

Programma

Introduction and definitions
Examples of mechanical systems
Different approaches to the dynamical study of mechanical systems
Lagrange equations for lumped and continuous systems
Rayleigh-Ritz method
Linearization of the equations of motion
Nonlinear problems
Matrix representation of physical systems
Eigenvalues and eigenvectors of real matrices
Physical meaning of eigenvectors
Modal coordinates
Eigenfunctions of linear differential operators

Modalità d'esame

Oral exam

Propedeuticità

None

Testi consigliati

L. Meirovitch 1986 Elements of Vibration Analysis, 2nd edition, McGraw Hill.
C. Lanzcos 1986 The Variational Principles of Mechanics, Dover.


Ultimo aggiornamento: 08-08-2006


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