AIMS AND CONTENT

SYLLABUS/CONTENT

1. Geometry of constrained systems. Positional and kinetic constraints; holonomic systems. Configuration space-time, velocity space. Constitutive characterization of reactive forces- Ideal constraints.
2. Lagrange equations. Formal construction, determinism: well-posedness of the Cauchy problem. Potential theory. First integrals. Relative mechanics, apparent forces. Applications.
3. Equilibrium of holonomic systems. Equilibrium equations; stability, pseudo-stability. Small oscillations. Applications to floating rigid bodies.
4. Floating rigid bodies dynamics. Tait-Bryan angles; Kirchhoff equations. Hydrodynamic effects on a rigid body immersed in a non-viscous fluid. Added mass.

RECOMMENDED READING/BIBLIOGRAPHY

1. Teacher’s lecture notes;
2. Goldstein H., Pool C., Safko J. "Meccanica Classica". Zanichelli (2005)
3. Lewandowski E.M. “The dynamics of marine craft”
4. Newman J.N. ”Marine hydrodynamics”

TEACHERS AND EXAM BOARD

Exam Board

ANGELO ALESSANDRI (President)

PATRIZIA BAGNERINI (President)

ENRICO MASSA (President)

STEFANO VIGNOLO (President)

EXAMS

Exam schedule