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: *
13-07-2005

Chiudi la finestra