Learning objectives
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.
Prerequisites
- - -
Course unit content
Introduction and definitions<br />Examples of mechanical systems<br />Different approaches to the dynamical study of mechanical systems<br />Lagrange equations for lumped and continuous systems<br />Rayleigh-Ritz method<br />Linearization of the equations of motion<br />Nonlinear problems<br />Matrix representation of physical systems<br />Eigenvalues and eigenvectors of real matrices<br />Physical meaning of eigenvectors<br />Modal coordinates<br />Eigenfunctions of linear differential operators
Full programme
- - -
Bibliography
L. Meirovitch 1986 Elements of Vibration Analysis, 2nd edition, McGraw Hill.<br />C. Lanzcos 1986 The Variational Principles of Mechanics, Dover.
Teaching methods
Oral exam
Assessment methods and criteria
- - -
Other information
- - -