28661 - Mechanics Applied to Machines T-A

Course Unit Page


This teaching activity contributes to the achievement of the Sustainable Development Goals of the UN 2030 Agenda.

Quality education Industry, innovation and infrastructure Responsible consumption and production

Academic Year 2021/2022

Learning outcomes

From the theoretical foundations of mechanics, the course provides the basic concepts and methods for the functional study of the machines, with particular reference to the problems associated with the use and maintenance.

Course contents

Degrees of freedom of plane and spatial mechanisms. Mechanical efficiency in direct and retrograde motion. Elements of static fundamental equations. Static analytical and static graphics.
Tribology. Frictional sliding and rolling friction.
Work of friction forces. Elementary theory of sliding friction. Rolling friction. Wear. Mechanical efficiency of the prismatic pair and the inclined plane: direct and retrograde motion.
Mechanical efficiency of revolute pairs: analytical and graphical determination. Analytical calculation of the mechanical efficiency of the twisted pair. Distribution of contact pressure. Ball bearings and roller bearings: the calculation of the moment of balance. Balance in the automotive wheel.
Elements of kinematics of rigid bodies in the plan: instant center of rotation. Graphic determination of instantaneous centers of rotation in planar mechanisms.
Involute helical gears: proportioning and non-interference condition. Gears: ordinary and planetary. Differential gears: function, relative velocities and moments transmitted to the wheels. Transmission with flexible bodies: efficiency of the hoist.
Shares of inertia in the motion of a rigid body: special cases. Masse replacement rod. Shares of inertia of the crank thrust centered. Determination of forces discharged to the chassis. Balancing of rotors in the field: method of influence coefficients. Dynamics of plants in periodic regime.
Free and forced vibration of damped systems with one degree of freedom. Vibration isolation: excitation of the sprung mass and excitement of the base. Vibrometer.


E. Funaioli, A. Maggiore, U. Meneghetti. Lezioni di Meccanica Applicata alle Macchine - Prima parte: Meccanica delle Macchine. Ed. PatronE. Funaioli, A. Maggiore, U. Meneghetti. Lezioni di Meccanica Applicata alle Macchine - Seconda parte: Elementi di meccanica degli azionamenti. Ed. Patron

Teaching methods

Both theoretical and exercise lessons are performed in the classroom.

Assessment methods

The exam is oral: all that has been done in the classroom, included the exercise lessons, can be verified. In order to participate to the oral verification, the day of the exam session the candidate must bring a notebook reporting some exercises (highlighted during the course) performed with personalized data.

Office hours

See the website of Riccardo Rubini