The numbers refer to the chapters and paragraphs of the textbook:
Calcolo of P. Marcellini and C. Sbordone.

1) Real numbers and functions

Natural, whole and rational numbers; density of rationals (5). Axioms of real numbers (2). Overview of set theory (4).
The intuitive concept of function (6) and Cartesian representation (7).
Injective, surjective, bijective and invertible functions. Monotonic functions (8).
Absolute value (9). The principle of induction (13).

2) Complements to real numbers

Maximum, minimum, supremum, infimum.

7) Succession limits

Definition and first properties (56.57).
Limited successions (58). Operations with limits (59).
Indefinite forms (60).
Comparative theorems (61). Other properties of succession limits (62).
Notable limits (63). Monotone sequences, the number e (64).
Sequence going to infinity of increasing order (67).

8) Function limits. Continuous functions

Definition of limit and property (71,72,73).
Continuous functions (74). discontinuity (75).
Theorems on continuous functions (76).

9) Additions to the limits

The theorem on monotonic sequences (80).
Extracted successions; the Bolzano-Weierstrass theorem (81).
The Weierstrass theorem (82).
Continuity of monotonic functions and inverse functions (83).

10) Derivatives

Definition and physical meaning (88-89). Operations with derivatives (90).
Derivatives of compound functions and inverse functions (91).
Derivative of elementary functions (92).
Geometric meaning of the derivative: tangent line (93).

11) Applications of derivatives. Function study

Maximum and minimum relative. Fermat's theorem (95).
Theorems of Rolle and Lagrange (96).
Increasing, decreasing, convex and concave functions (97-98).
De l'Hopital theorem (99).
Study of the graph of a function (100).
Taylor's formula: first properties (101).

14) Integration according to Riemann

Definition (117). Properties of the defined integrals (118).
Uniform continuity. Cantor's theorem (119).
Integrability of continuous functions (120).
The theorems of the average (121).

15) Undefined integrals

The fundamental theorem of integral calculus (123).
Primitives (124). The indefinite integral (125). Integration by parts and by substitution
(126,127,128,129).
Improper integrals (132).

16) Taylor's formula

Rest of Peano (135).
Use of Taylor's formula in the calculation of limits (136).

17) Series

Numerical series (141).
Series with positive terms (142).
Geometric series and harmonic series (143.144).
Convergence criteria (145).
Alternate series (146).
Absolute convergence (147).
Taylor series (149).

S. Lang, A First Course in Calculus, Springer Ed.

The numbers refer to the chapters and paragraphs of the textbook:
Calcolo of P. Marcellini and C. Sbordone.

1) Real numbers and functions

Natural, whole and rational numbers; density of rationals (5). Axioms of real numbers (2). Overview of set theory (4).
The intuitive concept of function (6) and Cartesian representation (7).
Injective, surjective, bijective and invertible functions. Monotonic functions (8).
Absolute value (9). The principle of induction (13).

2) Complements to real numbers

Maximum, minimum, supremum, infimum.

7) Succession limits

Definition and first properties (56.57).
Limited successions (58). Operations with limits (59).
Indefinite forms (60).
Comparative theorems (61). Other properties of succession limits (62).
Notable limits (63). Monotone sequences, the number e (64).
Sequence going to infinity of increasing order (67).

8) Function limits. Continuous functions

Definition of limit and property (71,72,73).
Continuous functions (74). discontinuity (75).
Theorems on continuous functions (76).

9) Additions to the limits

The theorem on monotonic sequences (80).
Extracted successions; the Bolzano-Weierstrass theorem (81).
The Weierstrass theorem (82).
Continuity of monotonic functions and inverse functions (83).

10) Derivatives

Definition and physical meaning (88-89). Operations with derivatives (90).
Derivatives of compound functions and inverse functions (91).
Derivative of elementary functions (92).
Geometric meaning of the derivative: tangent line (93).

11) Applications of derivatives. Function study

Maximum and minimum relative. Fermat's theorem (95).
Theorems of Rolle and Lagrange (96).
Increasing, decreasing, convex and concave functions (97-98).
De l'Hopital theorem (99).
Study of the graph of a function (100).
Taylor's formula: first properties (101).

14) Integration according to Riemann

Definition (117). Properties of the defined integrals (118).
Uniform continuity. Cantor's theorem (119).
Integrability of continuous functions (120).
The theorems of the average (121).

15) Undefined integrals

The fundamental theorem of integral calculus (123).
Primitives (124). The indefinite integral (125). Integration by parts and by substitution
(126,127,128,129).
Improper integrals (132).

16) Taylor's formula

Rest of Peano (135).
Use of Taylor's formula in the calculation of limits (136).

17) Series

Numerical series (141).
Series with positive terms (142).
Geometric series and harmonic series (143.144).
Convergence criteria (145).
Alternate series (146).
Absolute convergence (147).
Taylor series (149).

S. Lang, A First Course in Calculus, Springer Ed.

Computer Architecture, Operative System, Problem, Algorithm, Software, Representation of information, Software compiling and execution, Python development environment, Languages - syntax and semantics, Types and expressions, Functions in Python, Conditional instructions, Repetitive instructions, Strings, Dictionaries, Tuples and Matrix in Python, Sorting algorithms, Specification and correctness of software, Computational complexity, Files and Exceptions, Linear Algebra, Linear equations and sets, Matrices in Algebra, Determinant, Reverse matrix, Rank of a matrix, Gauss, Algebraic functions, Vector spaces, Generators, Bases, Operations between subspaces, Affine spaces, Homomorphism, Image, Kernel, Logic, Geometry in the plane and space

Course calendar will be essentially organized in two similar-length parts: Linear Algebra and Foundation of Computer science.

“Programmazione in Python”, di Lambert Kenneth, Maggioli Editore, Giugno 2018 (II Edizione).

“Geometria” di G. Accascina e V. Monti http://www.dmmm.uniroma1.it/accascinamonti/geogest/Geometria.pdf

Introduction
- Physical quantities and units
- Fundamentals on vector algebra

Kinematics of a material point
- Kinematics quantities in the rectilinear motion
- Uniformly accelerated rectilinear motion
- Simple harmonic motion
- Kinematics in 2-D and 3-D
- Motion trajectory
- Tangential and normal components of acceleration
- Parabolic motion
- Circular motion
- Relative motion

Dynamics of a material point
- Principles of Dynamics and Newton's laws
- Momentum and Impulse
- Equilibrium and constraint reaction forces
- Gravitational force
- Weight and motion under gravity
- Forces and motion
- Forces of dry friction
- Inclined plane
- Elastic force and mass-spring system
- Tension force in ropes
- Applications to circular motion
- Viscous force
- Electrical charge and Coulomb force
- Simple pendulum
- Inertial and non-inertial reference frames
- Inertial forces

Work and Energy
- Work and power
- Work of weight, elastic and dry friction forces
- Work-energy theorem. Applications
- Conservative forces. Potential energy
- Central forces
- Gravitational and electrostatic potential energies
- Conservation of mechanical energy. Applications
- Stability conditions for static equilibrium

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I: Meccanica - Termodinamica", seconda edizione, Edises, Napoli

(*) Notes on selected arguments are also available on the
course website, under the section complementi

Introduction
- Physical quantities and units
- Fundamentals on vector algebra

Kinematics of a material point
- Kinematics quantities in the rectilinear motion
- Uniformly accelerated rectilinear motion
- Simple harmonic motion
- Kinematics in 2-D and 3-D
- Motion trajectory
- Tangential and normal components of acceleration
- Parabolic motion
- Circular motion
- Relative motion

Dynamics of a material point
- Principles of Dynamics and Newton's laws
- Momentum and Impulse
- Equilibrium and constraint reaction forces
- Gravitational force
- Weight and motion under gravity
- Forces and motion
- Forces of dry friction
- Inclined plane
- Elastic force and mass-spring system
- Tension force in ropes
- Applications to circular motion
- Viscous force
- Electrical charge and Coulomb force
- Simple pendulum
- Inertial and non-inertial reference frames
- Inertial forces

Work and Energy
- Work and power
- Work of weight, elastic and dry friction forces
- Work-energy theorem. Applications
- Conservative forces. Potential energy
- Central forces
- Gravitational and electrostatic potential energies
- Conservation of mechanical energy. Applications
- Stability conditions for static equilibrium

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I: Meccanica - Termodinamica", seconda edizione, Edises, Napoli

(*) Notes on selected arguments are also available on the
course website, under the section complementi

1 Role of Engineering Drawing
• Introduction, Mechanical Drawing in the design workflow;
• Technical information, general, principles of drawings, Classification of Drawings;
• Layout of drawing sheets, Title Block, Layout of drawing sheets, scales, lines, Folding of drawing sheets;
• Part and assembly representation.
2 International Standards and normative
• Introduction and motivations;
• Standard code of practice for mechanical drawings.
3 Projections
• Projections: principles, definitions, Theories of projection;
• Orthographic projections: Principle of First Angle Projection, Methods of Obtaining Orthographic Views, Presentation of Views, Presentation of Views, Position of the Object, Selection of Views, Development of Missing Views.
4 Sections
• General principles, Section Views, Hatching of Sections, Cutting Planes, Revolved or Removed Section, Half Section, Local Section, Arrangement of Successive Sections.
5 Dimensioning
• General principles;
• Termination and Origin Indication, Method of Execution;
• Methods of Indicating Dimensions, Special Indications;
• Arrangement of Dimensions and Tolerances.
6 Limits, Tolerances, and fits
• Surface Roughness, indications and symbols;
• Fundamental tolerances, fundamental deviations, Method of Placing Limit Dimensions;
• Geometrical tolerance, Indicating Geometrical Tolerances on the Drawing;
• Indication of Feature Controlled, Standards Followed in Industry.
7 Threads
• Screw thread series, nomenclature, normative;
• Thread series and designation;
• Whitworth threads;
• Thread designation, bolted joints, nuts and studs.
8 Joints
• Temporary and Thread joints;
• keys, splines, cotters and pin joints;
• Welded Joints and Symbols;
• Permanent joints, rubber band fasteners.
9 Transmitting the power
• Introduction to motion guides and joints;
• Sliding and Rolling contact Bearings;
• motion guides and joints, transmission parts, gear box.

• Nigel Cross, Engineering Design Methods: Strategies for Product Design, 4th Edition, John Willey & Sons, 2008;
• T.E. French, C. J. Vierck, R. J. Foster, “GRAPHIC SCIENCE AND DESIGN”, 4th edition, McGraw Hill, 1984;
• Giesecke, Mitchell, Spencer, Hill, Dygdon, Nocak and Lockhart, “TECHNICAL DRAWING WITH ENGINEERING GRAPHICS”, 14/e;

Introduction to the class, Earth’ structure, introduction to mineralogy, main Earth forming minerals. Main type of rocks (igneous, metamorphic, sedimentary). Plate Tectonics Theory. Morphology of the sea floor. Principles of sedimentology. Costal geomorphology and depositional environments. Deep see depositional environments. Marine carbonates and evaporites. Tectonic, volcanism and sedimentation of plate margins and the oceanic floor. Gas hydrates. Natural hazard along costs. Chemical physical properties of water. Ocean and climate. Atmospheric and oceanic circulation. Geophysical methods for the sea floor. Geotechnical principles in sea floor systems. Oceanography of the Mediterranean Sea. Climatic and anthropic impact on costal dynamics. Benthic and Planktonic ecosystems. Climatic and anthropic impact on marine ecosystems Marine minerals and energy.

- Understanding Earth (Edition 7), Thomas H. Grotzinger and John, Jordan, Editor: W. H. Freeman, ISBN-13: 978-1464138744

- Oceanography: An Invitation to Marine Science (Edition 9), Tom S. Garrison and Robert Ellis, Editor: Cengage Learning, ISBN-13: 9781305105164

Dynamics of systems of material points
- systems of material points. Internal and external forces
- First cardinal equation for systems dynamics
- Center of mass and its motion
- Conservation of momentum
- Collisions (brief notes)
- Moment of a force and angular momentum
- Second cardinal equation for systems dynamics
- Conservation of angular momentum
- Koenig theorems

Rigid body dynamics
- Definition of rigid body and its properties
- Continuous bodies. Density and center of mass
- Rigid body kinematics. Angular velocity
- Rigid body dynamics. Rotations around a fixed axis
- Moment of inertia
- Huygens-Steiner theorem
- Compound pendulum
- Rolling motion
- Equilibrium for a rigid body

Introduction to electromagnetism
- Electric charge and Coulomb's law
- Electrostatic field
- Flux of a vector field and Gauss's law
- Electric potential
- Conductors and capacitors
- Stationary electric currents
- Ohm's law
- Magnetic interactions
- Lorentz force
- Magnetic force on current carrying conductors
- Magnetic field generated by a current
- Gauss's law for the magnetic field
- Ampere's law
- Dielectric and magnetic properties of materials (brief notes)

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. II: Elettromagnetismo", seconda edizione, Edises, Napoli

(*) Notes on selected arguments are also available on the course website, under the section complementi

Electric field and magnetic field. Electromagnetism fundamentals, basic principles and theorems for the analysis of electric and magnetic circuits. Electric circuits indc.Representation of sinusoidal electric quantities, definition of circuit impedance and analysis of single-phase and three-phase circuits; instantaneous power, active power and power factor in single-phase and three-phase circuits. Instruments and methods for measuring current, voltage, active power, power factor and energy in single-phase and three-phase circuits. Basic principle and operating characteristics of power transformers. Basic principles of staticpower conversion.Theory of the rotating magnetic field; basic structure and operating characteristics of induction and synchronous machines. Components and systems being used in power plants devoted to either generation or transportation or distribution of the electric energy; protection against either overvoltages or overcurrents; sizing of low-voltage secondary-network systems; power-factor correction; protective grounding and safety-related aspects in power distribution systems.

- G. Chitarin, F. Gnesotto, M. Guarnieri, A. Maschio, A. Stella - Elettrotecnica, 1 - Principi - Società Editrice Esculapio
- G. Chitarin, F. Gnesotto, M. Guarnieri, A. Maschio, A. Stella - Elettrotecnica, 2 - Applicazioni - Società Editrice Esculapio
- Additional Documents and Numerical Exercises - http://moodle1.ing.uniroma3.it

EQUAZIONI DIFFERENZIALI.

Equazioni differenziali lineari del I ordine; Equazioni differenziali generali del primo ordine; il problema di Cauchy: esistenza e unicità locale; equazioni differenziali a variabili separabili; sistemi lineari del I ordine; equazioni differenziali lineari di ordine generico; soluzioni linearmente indipendenti e determinante Wronskiano; metodo di variazione delle costanti; equazioni lineari a coefficienti costanti e polinomio caratteristico; sistemi lineari del I ordine con matrice dei coefficienti costante; esponenziale di matrici e calcolo per matrici diagonalizzabili; altre equazioni differenziali notevoli: equazione di Bernoulli e di Eulero.


CALCOLO DIFFERENZIALE IN PIU’ VARIABILI.
Norma e distanza in R^n; funzioni continue; teorema di Weierstrass; derivate parziali, gradiente e derivate direzionali; funzioni C^1 e C^2; derivate successive, matrice Hessiana e Teorema di
Schwarz; derivazione di funzioni composte; sviluppo di Taylor al II ordine; massimi/minimi locali; metodo dei moltiplicatori di Lagrange e massimi/minimi assoluti su insiemi compatti.


CALCOLO INTEGRALE IN PIU’ VARIABILI.
Integrazione secondo Riemann; misura di Peano-Jordan, integrazione di funzioni continue; formula di riduzione e integrali iterati (teorema di Fubini); cambiamento di variabili negli integrali e matrice Jacobiana; coordinate polari, cilindriche, sferiche; cenni sugli integrali impropri.


CURVE E SUPERFICI.
Curve in R^n ; cambi di parametrizzazione; curve equivalenti e verso; lunghezza di una curva;
superfici regolali in R^3; area di una superficie; superfici orientate e superfici con bordo.


CAMPI VETTORIALI.
Lavoro; integrali curvilinei di un campo vettoriale; campi conservativi ed irrotazionali; equivalenza tra campi conservativi ed irrotazionali su insiemi semplicemente connessi; formula di Gauss-Green; formula di Stokes.

Bertsch, Dal Passo, Giacomelli, Analisi Matematica (McGraw Hill, II edizione)

Esercizi: Marcellini, Sbordone, Esercitazioni di Analisi Matematica Due (vol. I e vol. II). Zanichelli ed.

Introduction to the world of materials
- Historical references, evolution of materials, a look inside them and a nod to transformations
- Properties and performance of the components
Basic properties and elastic behavior
- Intrinsic properties
- Extrinsic properties
- Mechanical stress systems: rigid body, deformable body, mechanical continuum; linear elasticity, Hooke's law, elastic behavior of the isotropic solid
Composition and structure of matter at different dimensional scales - Composition: molecule, chemical bond, Condon-Morse curves; ionic materials, molecular materials - Thermodynamic origin of elasticity - Structures: amorphous and crystalline, Bravais lattices and Miller indexes - Defects in crystalline solids: point, line and surface lattices
Mechanical behavior of materials
- Influence of T and t on mechanical behavior as a function of the nature of the material
- Static tensile stresses at low T: stress-strain curve (elastic field, plastic field, critical points)
- Mechanical properties: ductility, hardness, fragility, resilience and toughness (property measurement techniques)
- Fracture mechanics: Griffith energy theory, stress intensification factor, fracture toughness
- Dynamic solicitations: fatigue, Wohler curve, Paris-Erdogan law
Mono and multi-phase systems
- Systems thermodynamics: Thermodynamics of condensed states, basic concepts, first principle, second principle, equilibrium conditions, non-equilibrium states, I and II together, characteristic state functions
- solid state solubility: cooling curves of one-component systems, aggregation state, Hume-Rothery rules, solid solutions, phase
- dependence of solubility on composition, temperature and pressure: Gibbs rule and leverage, Gibbs energy, Gibbs curves, phase equilibria in binary systems
- phase transformation in the solid state: diffusion mechanisms, activation energy and Fick laws
- solidification kinetics and microstructures: nucleation and growth, main thermodynamic transformations, microstructures
Introduction to the main classes of metallic materials
- Iron-based alloys: classification of steels and cast irons, main phase diagrams, classification of specific heat treatments; special steels, stainless steels and applications.
- Titanium alloys: properties, processes - applications
- Aluminum alloys: properties, processes - applications
Introduction to the main classes of non-metallic materials
- Polymeric matrix polymers and composites: properties, processes, applications
- Ceramics: properties, processes, references to Weibull statistics, applications
Laboratory activities and exercises

W.D. Callister, Scienza e Ingegneria dei Materiali
slides of the course in pdf format

Introduction

Units of Measures

1. HEAT TRANSFERS

1) Conduction
phenomenology of heat transfers; general information on thermal fields; Fourier postulated. Fourier's equation, in Cartesian and cylindrical coordinates, with and without internal heat development. Examples of exact solutions: flatbed and cylindrical layer steady. Sull'adduzione limit signs on faces. The similarity of insulating critical elettrica.Raggio. Example variable regime: periodic regime stabilized in a semi-infinite half

2) Convection
Definition. Natural convection and forced convection. Schematic of the phenomenon. Definition of the heat exchange coefficient. dimensional analysis. Buckingham theorem. Method of indexes. Determination of dimensional characteristics of heat transfer variables. Applications.

3) Irradiation
Kirchhoff's law. Planck's law, Stefan-Boltzmann and Wien. gray bodies. Applications.

4) Complex Phenomena
Heat transfer by adduction. Applications.


2. Applied Thermodynamics

1) Thermodynamic systems
Thermodynamics principles. Temperature. thermodynamic equilibrium. Work in a closed system. Temperature concept.

2) First law
Conversion and energy transformation: the formulation of the first principle. internal energy. Specific heat.

3) Second law
Statements of the second law. Carnot cycle. Carnot's theorem. Thermodynamic temperature scale. Entropy. Reversible and irreversible transformation.

4) Thermodynamics Air
gaseous mixtures. moist air. Absolute and relative humidity. dew point temperature. Enthalpy associated. Mollier diagram. moist air transformation. Psychrometer.
energy exchanges between man and environment. thermal comfort. wellness equations. Thermal comfort indices: actual temperature, PMV, PPD.



3. APPLIED ACOUSTICS AND LIGHTING

1) Definition fundamental physical quantities. Characterization of the stimulus.

2) The psychophysical quantities.

3) Applications and Technology about the Sea Engineering : description of the used instrumentation and measurement methodologies, Design principles.

1. Yunus A. Çengel, “Termodinamica e trasmissione del calore”, McGraw-Hill Education (testo base in versione completa con compendio di Acustica ed Illuminotecnica)
2. Michael Moran et al., “Elementi di Fisica Tecnica per l’Ingegneria”, McGraw-Hill (per consultazione ed approfondimento)
3. Lecture Notes

Thermodynamics

Fundamentals: physical quantities and units of measurement, closed and open systems, forms of energy, properties of a thermodynamic system, transformations and thermodynamic cycles, temperature and zero principle of thermodynamics, pressure.
The first law of thermodynamics: the concept of conservation of energy, closed and open systems, enthalpy, energy conservation for stationary flow systems.
Properties of substances: pure substances, heat capacity and specific heats, phases of a substance, phase changes of pure substances, state diagrams, equation of state for ideal gases, transformations.
The second law of thermodynamics: statements of the second law of thermodynamics, heat engines, refrigeration machines and heat pumps, reversible and irreversible transformations, Carnot cycle, entropy.
Thermodynamics of humid air: dry air and atmospheric air, absolute humidity and relative humidity, dew temperature, psychrometric diagram, air conditioning, transformations for air conditioning.

Heat transfer

Steady-state thermal conduction: Fourier postulate, analogy with electrical flow, thermal conductivity, one-dimensional conduction in simple geometries, multilayer flat walls, cylindrical geometries, critical insulation radius.
Forced and natural convection: introduction, dimensionless numbers, classification of fluid motion, limit layer of velocity and temperature, natural convection on surfaces.
Irradiation: introduction, thermal radiation, black body radiation, radiative properties, view factors, heat transmission by radiation between black and gray diffusing surfaces, radiation screens.
Applications: thermal transmittance and conductance of walls, critical insulation radius.

Acoustics

Acoustic quantities: general information, sound pressure and sound pressure level, sound power and sound power level, sound intensity and sound intensity level, psychophysical acoustics, normal audiogram, weighting curves.
Free-field and indoor environment propagation: behavior of materials subjected to sound stresses, sound-absorbing and sound-insulating materials, sound-insulating power, sound insulation, Sabine theory.

Educational material provided by the Professor

Books:
Yunus A. Çengel, Giuliano Dall'Ò, Luca Sarto, “Fisica tecnica ambientale. Con elementi di acustica e illuminotecnica”, McGraw-Hill Education

Yunus A. Çengel, “Termodinamica e trasmissione del calore”, McGraw-Hill Education

Fabio Polonara, Gianni Cesini, Gianni Latini, “Fisica tecnica”, CittàStudi (only for in-depth analysis)

Introductory concepts, deformation and motion of a particle, Cauchy theorem, Eurlerian and Lagrangian description, the Reynolds transport theorem, the material derivative. Forces and moments on airfoils. Buckingham theorem. General governing equations in integral and differential form. Constitutive relationships for Newtonian fluids. Navier-Stokes equations, Bernouilli equation. Vorticity dynamics. Potential flows and singular solutions (the case of the cylinder). Boundary layer concepts and theoretical approach for a 2D steady case. The separation of the boundary layer.

• Introduction to maritime hydraulic phenomena: waves, currents and sea level variations
• Linear theory of wave motion: periodic progressive waves of constant form, interference between waves, energy propagation, periodic waves on weakly variable sea-bed.
• Wave breaking
• Real waves: irregular waves, ondametric measurements, statistical and spectral analysis of the recorded series
• Analysis of wave pressures on fixed and mobile structures

handouts provided by the teacher

-Mechanics of a material particle
ODE homogeneous and non-homogeneous
Fundamental properties of the motion of a particle
Dynamics of free and constrained material elements
Un-damped and damped oscillators
Mechanical work, power and energy
Stabilty of mechanical equilibrium

-Mechanics of systems of particles
Internal forces
Conservation of momentum
Conservation of angular momentum
Kinetic energy, Koenig’s theorem

-Kinematics of rigid-body motion
Two-dimensional rigid-body motion
Instant centre of rotation
Three-dimensional rigid-body motion

-Galilean relativity
Kinematics in non-inertial frames of reference
Dynamics in non-inertial frames of reference, fictitious forces
Classes of frames of reference
Derivative of vectors in moving frames of reference

-Dynamics of rigid bodies
Dynamics
Conservation of momentum and angular momentumInertia tensor
Ellipsoid of inertia
Koenig’s theorem
Euler equations
Rotation about central axes

-Elements of Lagrangean mechanics
Virtual displacements
Virtual work
Lagrange-Euler equations

-Lecture notes with solved problems
-Beer, Johnston, "Vector Mechanics for Engineers", McGraw-Hill
-Benvenuti, Maschio, “Complementi ed esercizi di Meccanica Razionale", Ed. Kappa

Energy needs and sources
Classification and general characteristics of fluid machines
Thermal and thermodynamic processes of machines and energy systems
Characteristics of working fluids
Hydroelectric power plants
Wind turbines
Fuels and combustion
Steam power plans
Gas turbine power plant
Internal combustion engines
Combined-cycle power plants
Cogeneration
Propulsion
Photovoltaic systems, fuel cells - outlines
Environmental impact of energy systems - outlines

Introduzione allo studio delle machine, Oreste Acton, Carmelo Caputo, UTET 1979
Impianti motori, Oreste Acton, Carmelo Caputo, UTET 1992
Gli impianti convertitori di energia, C. Caputo, Masson 1997

The variety of the mechanisms in applications. Basic definitions. Degrees of freedom. Classification of the kinematic pairs. Kinematic chains and mechanisms. Kinematic analysis. Plane motion of a rigid body. Velocity and acceleration fields. Kinematic analysis of planar mechanisms. Characteristics of infinitesimal plane motion. Inflection and stationary circles. Euler Savary formula. Planar polodes theory. Pairs with unilateral contacts. Construction of conjugate profiles. Oldham and universal (Cardan) joints. Expression of the transmission ratio. Double cardan joint. Parallel and anti-parallel four bar linkages. Drafting table and pantograph mechanisms. Hart and Peaucellier exact straight lines mechanism generators. Disaggregation principle in statics. Free body static force and torque analysis of complex systems. Applications of the theorem of the virtual works. Basic topics in Tribology with particular reference to the marine environment. Surface analysis and characterization. Hertz formulae. Friction. An elementary model of adhesive friction. Friction basic mechanisms. Adhesion, abrasion, fretting, surface fatigue. Experimental classification of the worn surfaces: scuffing, scoring, spalling, case crushing, pitting, galling. Predictive models of wear and friction. Energy dissipated “Reye” method, Archard equation. Ball bearings: static force and fatigue modeling, Striebeck formula. Introduction to lubrication. Viscosity and viscosity index. Petroff’s law. One-dimensional Reye theory of hydro-dynamic lubrication. Lubrication of the Rayleigh step bearing. Film with linearly decreasing thickness. Kingsbury – Mitchell bearings. Hydro-static lubrication in the thrust bearing. Hydrostatic compensation. Journal bearings with hydrodynamic lubrication. Work, power and energy. Principles of energy conservation. Power flow analysis in the mechines. Efficiency. Dynamics of the material point. Dynamic of the rigid body. Newton Euler formulation of the dynamic problems. Dynamic analysis by means of the generalized principle of the virtual works. Traction coefficient in transmission. Gearings. The geometrical characteristics of gears with involute profiles. The mechanical interference in gearings. Advanced methods in kinematics: analytical and numerical methods. Dynamic analysis of multibody systems by means of the coordinate partitioning method and the elimination of the Lagrange’s multipliers. Vibration of systems with one degree of freedom. Free oscillation, damped oscillations and excited vibrations. Rayleigh method for the case of the free undamped oscillator. The function of the flywheel in machines. Flexural and torsional vibration in transmission shafts. Vibrations of system with n degrees of freedom. Dynamic problems and wear in breaks. Cams. Construction of cams with prescribed law of motion. Dynamic problems in cams. Constant acceleration cam. Exercises. Kinematic analysis of the slider crank and four bar linkages. Centrodes of the coupler motions. Static balance in different mechanisms. Lubrication. Kingsbury – Michell hydrodynamic bearings. Geometry of involute gearings. Evaluation of the efficiency of simple mechanisms. Analytical and numerical methods in the kinematic analysis of simple mechanisms. Inverse and direct dynamic problems in simple mechanisms. The application of the methods of Lagrange’s multipliers to the solution of direct dynamic analysis of Multibody systems.

Belfiore, N.P., Di Benedetto, A., Pennestrì, E., Fondamenti di meccanica applicata alle macchine, SECONDA
EDIZIONE, CEA Casa Editrice Ambrosiana, Milano, 2011.

Di Benedetto, A., Belfiore, N.P., Fondamenti di Teoria delle vibrazioni meccaniche, CEA Casa Editrice
Ambrosiana, Milano, 2007.

Materials available from Moodle and Teams platforms.

Kinematics of rigid bodies. The rigid body model. Rigid displacements. General formula of infinitesimal rigid displacement. Scalar representation of the rigid displacement field. Planar rigid displacements. Systems of rigid bodies.

Kinematic characterization of a constraint. External constraints and internal constraints.
The cinematic problem. Kinematic classification.

Statics of rigid bodies. External forces. Force, moment of a force, systems of forces, force density, distributed loads.
Static characterization of constraints. The static problem. Cardinal equations of statics. Static classification. Statical-kinematical duality.

Beam kinematics. Displacement, rotation, hypothesis of small displacements. Kinematic conditions.

Deformation measurements. Axial deformation. Angular scroll. Bowing. Equations of congruence. Model of Euler-Bernoulli. Vector representation of congruence equations. The kinematic problem for the beam. Statics of the beam. External actions and internal actions. Partwise balance. Differential equilibrium equations in scalar and vector format. The static problem. Internal action diagrams.

Reticular trusses. Internal isostaticity of the triangular mesh. Canonical nodes. Node method. Canonical sections. Ritter method.

Constitutive equations. Phenomenology of the response of a material. The uniaxial test. Elastic behavior. Plastic behavior and rupture. Ductile and fragile materials.

Constitutive equations for the elastic beam. Axial behavior, flexural behavior, shear behavior. Uniform thermal variation, affine thermal variation.

The elastic problem for the beam and its formulation.

Displacement method. Equation of the tension beam. Inflexion of a beam in the Euler-Bernoulli model. Extension to the Timoshenko model. Connection conditions and problem formulation for beam systems. Kinematic and static performance of internal constraints.


Principle of virtual work. The concept of congruent system. Notion of a balanced system. External virtual work. Internal virtual work. Theorem of virtual works, statement and proof. Application of the Virtual Works Principle to the calculation of displacements and rotations in statically-determined structures.

Force method. Released structure. Application of the method to the general case. Müller-Breslau equations. Flexibility matrix. Effect of constraint displacement and thermal distortions.

Continuous beams. The three-moment equation.

Three-dimensional continuous bodies: analysis of the deformation. The strain tensor. Geometrical interpretation of the components of the strain tensor.
State of triaxial deformation. State of cylindrical deformation. Spherical or hydrostatic deformation state. Mohr's circles.

Three-dimensional continuous bodies. Cauchy's concept of traction. Partwise balance. Cauchy's Lemma. The stress tensor. Differential equations of equilibrium.

Principal stresses and principal directions. Voltage states. Lamé's ellipsoid of tension. Isostatic lines. State of plane or biaxial tension. Purely tangential tension state. Uniaxial voltage state. Mohr's circles for the stress.

Linearly elastic constitutive equations. Experimental determination of elastic constants. Traction test. Torsion test. Isotropic materials: the generalized Hooke law.

The problem of elastic balance. The Virtual Works Theorem. Partial solutions to the problem of elastic equilibrium. Deformation work. Clapeyron's theorem. Betti's theorem. Theorem of the minimum total potential energy. Theorem of the minimum total complementary potential energy

The problem of Saint Venant. Postulate of Saint Venant. The semi-inverse method.

Normal force. Flexure.

Torsion of compact and hollow circular sections.

Torsion of compact sections of arbitrary shape. The Neumann problem. Elliptical sections. Polygonal sections. The hydrodynamical analogy. Thin rectangular section. Open sections composed of thin rectangles. Thin-walled sections: Bredt's theory.

Bending and shearing. Distribution of normal tractions. Distribution of tangential tractions: Jourawsky formula and its applicability.
Thin sections open. Thin rectangular section. Thin double T section. U and H shaped sections. Thin sections closed. Symmetrical closed section. Symmetrical compact sections. Determination of the shear center.

Rupture criteria for fragile materials and ductile materials.

The phenomenon of structural instability. Stability analysis in rigid beams with elastic restraints. Stable branches. Unstable branches. Sensitivity to initial imperfections. Euler's Elastica. Dependence of the critical load on the constraint conditions. Inflection plans. Curves of stability, slenderness.

The beam: structural analysis and verification. Extension of the Saint Venant theory. Resistance criteria for the Saint Venant solid.

P. Casini & M. Vasta, "Scienza delle costruzioni", Città Studi Edizioni 2016.
Steen Krenk & Jan Høgsberg, "Statics and Mechanics of Structures", Springer 2013.
M. Capurso, Lezioni di Scienza delle Costruzioni, Pitagora Editrice, 1984.
E. Sacco, Lezioni di Scienza delle Costruzioni, 2016.

Geomorphological and meteoceanographical design conditions. Extreme wave statistics. Wave-structure interaction. Hydraulic and stability verifications (overtopping, transmission). Design and construction of maritime works.
Structural types: rubble mound breakwaters, vertical walls, floating barriers, piled jetties, Harbour quay walls, shore protection works, offshore platforms.

Handouts from the professor