ID:
23046
Dettaglio:
SSD: Applied Mechanics for Machinery
Duration: 64
CFU: 8
Located in:
DALMINE
Url:
MECHANICAL ENGINEERING - 23-270/PERCORSO COMUNE Year: 3
Year:
2025
Overview
Date/time interval
Primo Semestre (15/09/2025 - 20/12/2025)
Syllabus
Course Objectives
The course aims to provide a physical awareness and knowledge of the basic topics regarding mechanics of machines - typical amount of motion, power flow throughout a mechanical system, ways of and reasons for losing power, vibrations. After the course, students are able to apply what they learned to the modelling and analysis of mechanical systems from both kinematics and dynamics point of view, the estimation of the power required in machines and to the approximate evaluation of vibratory behaviour of mechanical systems.
Course Prerequisites
Basic knowledge of mathematics and physics.
Teaching Methods
Lectures (about 48 hours) and numerical application activities (about 24 hours)
Assessment Methods
Written exam (two hours and half duration), with three exercises to be solved, and oral exam (about thirty minutes duration). Each exercise has a maximum value of ten pts.
Only students achieving an assessment equal or higher than 18/30 in the written exam may take the oral exam. The results of the written exam are published on the teacher's web page according to instruction given during the exam. Oral exam may be taken in a session different from the written exams's one. The oral exams's dates are published on the teacher's web page, after the the written exam. Only students achieving an assessment equal or higher than 18/30 pass the oral exam. The final assessment is the arithmetic mean of the written and oral exams' assessments. For the exam completion, a report of the application activities developed during the course must be delivered.
Only students achieving an assessment equal or higher than 18/30 in the written exam may take the oral exam. The results of the written exam are published on the teacher's web page according to instruction given during the exam. Oral exam may be taken in a session different from the written exams's one. The oral exams's dates are published on the teacher's web page, after the the written exam. Only students achieving an assessment equal or higher than 18/30 pass the oral exam. The final assessment is the arithmetic mean of the written and oral exams' assessments. For the exam completion, a report of the application activities developed during the course must be delivered.
Contents
Machines and mechanisms. Structure of a mechanical system: members, kinematic elements, lower and
higher kinematic pairs. Conjugate profiles. Revolute joint, prismatic joint, helical pair.
Principle sketch of a machine. Work energy theorem. Work energy equation for a machine in steady
state operation. Forward and backward power in a machine. Characteristic curves of motors and their
typical parameters. Motor’s running in four quadrants. Motor-load coupling: transmissions and speed
variators. Wasted energy in transmission: forward and backward efficiency. Work energy equation for a
machine in transient operation with forward and backward power flux. Periodic running of a machine.
Flywheel design.
Contact forces between solids: static friction, kinetic friction, rolling friction. Wasted power in
kinetic and rolling friction. How to change friction forces. Examples of motion transmission by friction: flat and trapezoidal belts.
Friction in revolute joint, planar joint, inclined plane, helical pair. Contact pressure distribution
in planar prismatic pairs and in planar pairs. Wear and friction: Reye's theory.
Lubricated kinematic pairs: basic theory of hydro-dynamic lubrication.
Kinematics of a rigid body in plane: absolute and relative instantaneous center of rotation; geometric locus of instantaneous center of rotation. Acceleration of a rigid body's points. relative
motion: Coriolis' and Rivals' theorems.
Dynamics od a rigid body in plane. Inertial actions. D'Alembert's principle, dynamic equilibrium
equations.
One degree of freedom linkages: four-bar linkage, cranck-slider mechanisms. Methods for kinematic
analysis. Dynamic analysis. Reciprocating masses balancing.
Introduction to vibrations. Equations of motion: dynamic equilibrium equation and energy methods.
Undamped free vibrations. Damped free vibrations. Damping: logarithmic decrement, energy loss in
resonance, structural damping, equivalent viscous damping.
Forced vibrations. Transfer function of a mechanical system.
The topics of the course will be covered also by means of application examples
higher kinematic pairs. Conjugate profiles. Revolute joint, prismatic joint, helical pair.
Principle sketch of a machine. Work energy theorem. Work energy equation for a machine in steady
state operation. Forward and backward power in a machine. Characteristic curves of motors and their
typical parameters. Motor’s running in four quadrants. Motor-load coupling: transmissions and speed
variators. Wasted energy in transmission: forward and backward efficiency. Work energy equation for a
machine in transient operation with forward and backward power flux. Periodic running of a machine.
Flywheel design.
Contact forces between solids: static friction, kinetic friction, rolling friction. Wasted power in
kinetic and rolling friction. How to change friction forces. Examples of motion transmission by friction: flat and trapezoidal belts.
Friction in revolute joint, planar joint, inclined plane, helical pair. Contact pressure distribution
in planar prismatic pairs and in planar pairs. Wear and friction: Reye's theory.
Lubricated kinematic pairs: basic theory of hydro-dynamic lubrication.
Kinematics of a rigid body in plane: absolute and relative instantaneous center of rotation; geometric locus of instantaneous center of rotation. Acceleration of a rigid body's points. relative
motion: Coriolis' and Rivals' theorems.
Dynamics od a rigid body in plane. Inertial actions. D'Alembert's principle, dynamic equilibrium
equations.
One degree of freedom linkages: four-bar linkage, cranck-slider mechanisms. Methods for kinematic
analysis. Dynamic analysis. Reciprocating masses balancing.
Introduction to vibrations. Equations of motion: dynamic equilibrium equation and energy methods.
Undamped free vibrations. Damped free vibrations. Damping: logarithmic decrement, energy loss in
resonance, structural damping, equivalent viscous damping.
Forced vibrations. Transfer function of a mechanical system.
The topics of the course will be covered also by means of application examples
Online Resources
More information
If the course will be delivered in mixed or completely remote form, some changes could be introduced in the syllabus in order to make the course, and the relevant exam, feasible also in this way.
Degrees
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MECHANICAL ENGINEERING - 23-270
Bachelor's Degree
3 years
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Main module
MECHANICAL SYSTEMS ENGINEERING