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Teacher
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IEMMA UMBERTO
(syllabus)
PREREQUISITES:
ORDINARY DIFFERENTIAL EQUATIONS.
VECTOR CALCULUS.
MATRIX ALGEBRA.
INTEGRAL CALCULUS.
FUNDAMENTALS OF DYNAMICS OF AN ISOLATED MATERIAL POINT.
1. SPECTRAL ANALYSIS OF REAL MATRICES; FUNDAMENTAL THEOREMS OF LINEAR ALGEBRA; EIGENVALUE PROBLEMS IN ENGINEERING MECHANICS.
2. MECHANICS OF SYSTEMS OF PARTICLES; CONSERVATION OF MOMENTUM, ANGULAR MOMENTUM AND ENERGY.
3. RIGID BODY MECHANICS; KINEMATICS OF RIGID-BODY MOTIONS; CONSERVATION OF MOMENTUM, ANGULAR MOMENTUM AND ENERGY; KOENIG'S THEOREM; HUYGHENS' THEOREM; INERTIA TENSOR; CENTRAL AXES AND EULER'S EQUATION.
4. FUNDAMENTALS OF LAGRANGEAN MECHANICS.
5. FUNDAMENTALS OF CHAOTIC DYNAMICS.
(reference books)
1. LECTURE NOTES
2. LEVI-CIVITA, AMALDI, "LEZIONI DI MECCANICA RAZIONALE", ZANICHELLI, BOLOGNA
3. MURACCHINI, RUGGERI, SECCIA, "ESERCITAZIONI DI MECCANICA RAZIONALE CON MATLAB E SIMULINK", PROGETTO LEONARDO, BOLOGNA.
4. SPIEGEL, MECCANICA RAZIONALE, COLLANA SCHAUM'S, MCGRAW-HILL.
5. BEER, JOHNSTON, "VECTOR MECHANICS FOR ENGINEERS", MCGRAW-HILL.
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Università Roma Tre