CODE 56837 ACADEMIC YEAR 2024/2025 CREDITS 6 cfu anno 1 INGEGNERIA NAVALE 8738 (LM-34) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/07 LANGUAGE Italian TEACHING LOCATION GENOVA SEMESTER 1° Semester MODULES Questo insegnamento è un modulo di: MATHEMATICAL METHODS IN NAVAL ARCHITECTURE TEACHING MATERIALS AULAWEB AIMS AND CONTENT LEARNING OUTCOMES The aim of the module is to introduce and deepen techniques and methods of Mathematical Physics for the construction of mathematical models and the solution of mechanical problems in Naval Engineering. AIMS AND LEARNING OUTCOMES Acquisition of specific skills regarding the following aspects: constraints, and their representation; systems with a finite number of degrees of freedom: analytic representation of admissible configurations and kinetic states; dynamics and statics of systems subject to ideal constraints; equilibrium stability and small oscillations; hydrostatic and hydrodynamic effects on rigid bodies moving in a surrounding fluid. TEACHING METHODS Frontal lectures. SYLLABUS/CONTENT Geometry of constrained systems. Positional and kinetic constraints; holonomic systems. Configuration space-time, velocity space. Constitutive characterization of the reactive forces. Ideal constraints. Lagrange equations. Cauchy problem and mechanical determinism. Ordinary and generalized potentials. First integrals. Relative Mechanics, apparent forces. Generalized velocities. Equilibrium of holonomic systems. Stability and pseudo-stability. Small oscillations 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 Lecture notes by the teacher; Goldstein H., Pool C., Safko J. "Meccanica Classica". Zanichelli (2005); Lewandowski E.M. “The dynamics of marine craft”; Newman J.N. ”Marine hydrodynamics” TEACHERS AND EXAM BOARD SANTE CARLONI Ricevimento: By appointment. Please send an email to sante.carloni@unige.it ENRICO MASSA Ricevimento: By appointment, contacting the teacher at the address massa@dima.unige.it LESSONS LESSONS START https://corsi.unige.it/8738/p/studenti-orario Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION Oral examination ASSESSMENT METHODS Verification of learning of the theory, and of the ability to apply it to concrete situations, through the discussion of specific topics developed in class. The solution of numerical exercises is not required.
