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CODE 56837
ACADEMIC YEAR 2021/2022
CREDITS
SCIENTIFIC DISCIPLINARY SECTOR MAT/07
LANGUAGE Italian
TEACHING LOCATION
  • GENOVA
SEMESTER 2° Semester
MODULES Questo insegnamento è un modulo di:
TEACHING MATERIALS AULAWEB

AIMS AND CONTENT

AIMS AND LEARNING OUTCOMES

Mathematical foundations of Analytical Mechanics. Dynamics of constrained system, with applications to the study of the hydrostatic and hydrodynamic effects on a rigid body moving in a surrounding fluid.

TEACHING METHODS

Frontal lectures.

SYLLABUS/CONTENT

  1. Geometry of constrained systems. Positional and kinetic constraints; holonomic systems. Configuration space-time, velocity space. Constitutive characterization of the reactive forces. Ideal constraints.
  2. Lagrange equations. Cauchy problem and mechanical determinism. Ordinary and generalized potentials. First integrals. Relative Mechanics, apparent forces. Generalized velocities.
  3. Equilibrium of holonomic systems. Stability and pseudo-stability. Small oscillations
  4. Immersed rigid body dynamics. Tait-Bryan angles, Kirchhoff equations. Pseudo-stability of the equilibrium configuration and small motions of a floating body in calm water. Hydrodynamic pressure; added mass coefficients.

RECOMMENDED READING/BIBLIOGRAPHY

  1. Lecture notes by the teacher;
  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

PATRIZIA BAGNERINI (President)

ANGELO ALESSANDRI (President Substitute)

ENRICO MASSA (President Substitute)

LESSONS

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

Oral examination

ASSESSMENT METHODS

Check of a reasonable acquaintance with the subject, possibly, through the solution of simple practical problems.

Exam schedule

Data appello Orario Luogo Degree type Note
18/01/2022 10:00 GENOVA Orale
09/02/2022 10:00 GENOVA Orale
14/06/2022 10:00 GENOVA Orale
01/07/2022 10:00 GENOVA Orale
18/07/2022 10:00 GENOVA Orale
13/09/2022 10:00 GENOVA Orale