Unit THEORETICAL AND APPLIED MECHANICS
- Course
- Mechanical engineering
- Study-unit Code
- 70047510
- Curriculum
- Gestionale
- Teacher
- Maria Cristina Valigi
- CFU
- 10
- Course Regulation
- Coorte 2021
- Offered
- 2022/23
- Type of study-unit
- Obbligatorio (Required)
- Type of learning activities
- Attività formativa integrata
APPLIED MECHANICS
| Code | 70A00505 |
|---|---|
| CFU | 5 |
| Teacher | Maria Cristina Valigi |
| Teachers |
|
| Hours |
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| 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 3)S.Papini, 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. |
THEORETICAL MECHANICS
| Code | 70A00605 |
|---|---|
| CFU | 5 |
| Teacher | Giuseppe Saccomandi |
| Teachers |
|
| Hours |
|
| 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. Statics. Dynamics. 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. |