Dynamics of Linear Systems (Dinamica delle strutture I)
Teacher
Credits
6 CFU
Acquired skills
- Modeling and analysis of structures
Contents
|
Dynamics of discrete systems: a review. |
Systems of mass points: equations of motions and conservation theorems. Lagrange's equations. Dynamics of the rigid body. Small motions. Application of Lagrange's equations to structures: examples. |
2 hours |
|
Linear dynamics of a 1 d.o.f. oscillator. |
Free vibrations. Response to periodic, harmonic and impulsive loads. Response to a generic load: Duhamel's integral. Response to the motion of the supports. Applications. Time history direct integration. |
16 hours |
|
Linear dynamics of N d.o.f. systems |
Free and forced motions of elastic systems. Modal Analysis. Eigenvalues and mode shapes. Numerical method to determine eigenpairs. Damped systems: the case of proportional damping. |
20 hours |
|
Linear dynamics of continuous systems. |
Free vibrations of rods. Axial and bending vibrations. Forced motion; modal anaysis. |
6 hours |
|
Design under seismic input |
Italian seismic code. The elastic response spectrum of an oscillator. Pseudo-velocity and pseudo-acceleration. The design spectrum of the Italian seismic code. General criteria of design. Static and dynamical analysis: an example. |
6 hours |
References
- Clough, R. W. and J. Penzien, Dynamics of Structures, 1975, Mc Graw-Hill.
- Como, M. e G. Lanni, Elementi di costruzioni antisismiche, 1979, Ed. Scientifiche Cremonese.
- Gavarini, C., Dinamica delle Strutture, ESA Roma.
Type of exam
Oral