Università degli Studi di Perugia


Mechanical engineering
Study-unit Code
Maria Cristina Valigi
Course Regulation
Coorte 2021
Type of study-unit
Obbligatorio (Required)
Type of learning activities
Attività formativa integrata


Code 70A00505
Teacher Maria Cristina Valigi
  • Maria Cristina Valigi
  • 45 ore - Maria Cristina Valigi
Learning activities Caratterizzante
Area Ingegneria meccanica
Academic Discipline ING-IND/13
Type of study-unit Obbligatorio (Required)
Language of instruction Italian
Contents -Kinematic pairs and mechanisms.
-Friction and wear.
-Efficiency of machines and group of machines.
-Kinetostatic analysis of planar mechanisms with graphical and analytical methods.
-Preliminary design
of gearings and transmission systems.
-Mechanical vibrations.
-Lagrangian dynamics to mechanisms and mechanical systems.
-Motion transmission with flexible elements.
Reference texts 1) Funaioli E., Maggiore A., Meneghetti U., Lezioni di Meccanica applicata alle macchine. Prima parte: Fondamenti di Meccanica delle Macchine, ed. Patron, Bologna.
2) S.Papini,
M.Malvezzi,S.Falomi Esercitazioni di meccanica applicata alle macchine: 1 Ed.Esculapio
M.Malvezzi,M.C.Valigi Esercitazioni di meccanica applicata alle macchine: 2 Ed.Esculapio
Educational objectives Applications of fundamentals for the static, and dynamic analysis of mechanical systems commonly found in machinery.
Prerequisites knowledge and competencies in theoretical mechanics-
Teaching methods Face-to-face theoretical lessons and exercises.
Other information Attending students have the possibility of examination in itinere.
Learning verification modality A written examination and an oral examination.
Extended program Definition of machine. Kinematic chains and mechanisms. Kinematic pairs. . Contact forces. Efficiency. Friction. Coulomb friction. Coefficient of friction. Wear. Reye principle. Rolling friction.The free-body diagram. Superposition. Graphical force analysis. Analytical Statics. Calculating Reactions. The Principle of Virtual Work. Kinetic Energy. Lagrange's equations.Fundamental law of Gearing. Spur Gears and helical gears. Gear Tooth forces. Gear trains. Planetary Gear trains. Fixed and movable pulley.Belt drives.Mechanical vibrations: Single dof model. Free response and forced response of the single dof system. Multiple dofs.


Code 70A00605
Teacher Giuseppe Saccomandi
  • Giuseppe Saccomandi
  • 45 ore - Giuseppe Saccomandi
Learning activities Base
Area Matematica, informatica e statistica
Academic Discipline MAT/07
Type of study-unit Obbligatorio (Required)
Language of instruction Italian
Contents Vectorial Calculus.

The Kinematic of Rigid Body

Relative Kinematics.

Constrained Systems.

Centre of Mass. Moment of Inertia.

Force, Work, Potential.

Laws of Mechanics.

Lagrange Equations.
Reference texts T. Ruggeri: Richiami di Calcolo Vettoriale e Matriciale. - Pitagora Editrice Bologna.

P. Biscari, T. Ruggeri, G. Saccomandi, M.Vianello : Meccanica Razionale. - Spinger.
Educational objectives The goal of this course is to provide the students with an introduction to the statics and the dynamics of the rigid body as well as of the holonomic systems using the principle of virtual work and the Lagrange Equations respectively .
Prerequisites Calculus level I and II, geometry I.
Teaching methods Lectures on all subjects of the course and Exercices in the classroom.
Other information Yor are recommanded to attend the lectures.

The lectures will be held at the department at
in Via Goffredo Duranti
06125 Perugia.

A tutor is available by appointment at mariacesarina.salvatori@unipg.it
Learning verification modality The oral examination consists on an interview about 2/3 arguments treated during the course. This allows to verify the ability of knowledge and understanding, the ability to apply the acquired skills, the ability to display and learn. Operating time up to 30-40 minutes.
Extended program Vectorial Calculus: dot product, cross product, scalar triple product, vectorial triple product. Applied vectors. Moment of a vector about a point. Moment of a vector about an axis. Couples. Equivalence of systems of vectors.

The Kinematic of the Rigid Body: rigid configurations. Euler angles. Angular velocity. Poisson's formulas. Rigid motion. Mozzi's Theorem.

Relative Kinematics: Galileo's Theorem. Coriolis Theorem.

Constrained Systems: virtual constraints, virtual displacement and virtual velocity. Rigid virtual displacement. Holonomic constraints. Degrres of freedom. Configurations space.

Centre of Mass. Moment of Inertia.

Force, Work, Potential: elementary work. Work of a force moving along a curve. Work of a system of forces acting on a rigid body. Conservative forces.

Laws of Mechanics: Princilples of Mechanics.

Statics:The statics of the mass point. Equation of statics, Equilibrium positions of a rigid body and of an holonomic system. The priciple of virtual works.
The dynamics of the rigid body. Lagrange's Equations.
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