RATIONAL MECHANICS

RATIONAL MECHANICS

_
iten
Code
56837
ACADEMIC YEAR
2018/2019
CREDITS
5 credits during the 1st year of 8738 Naval Architecture and Marine Engineering (LM-34) GENOVA
SCIENTIFIC DISCIPLINARY SECTOR
MAT/07
LANGUAGE
Italian
TEACHING LOCATION
GENOVA (Naval Architecture and Marine Engineering)
semester
2° Semester
modules
Teaching materials

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

Ricevimento: by appointment, contacting the teacher at the address massa@dima.unige.it

Exam Board

STEFANO VIGNOLO (President)

ENRICO MASSA (President)

PATRIZIA BAGNERINI (President)

ANGELO ALESSANDRI (President)