First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
Course unit
IN05105663, A.A. 2017/18

Information concerning the students who enrolled in A.Y. 2016/17

Information on the course unit
Degree course First cycle degree in
IN0511, Degree course structure A.Y. 2011/12, A.Y. 2017/18
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Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination APPLIED MECHANICS
Department of reference Department of Industrial Engineering
Mandatory attendance No
Language of instruction Italian
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit


ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Educational activities in elective or integrative disciplines ING-IND/13 Applied Mechanics for Machinery 6.0

Mode of delivery (when and how)
Period Second semester
Year 2nd Year
Teaching method frontal

Organisation of didactics
Type of hours Credits Hours of
Hours of
Individual study
Lecture 6.0 48 102.0 No turn

Start of activities 26/02/2018
End of activities 01/06/2018

Examination board
Board From To Members of the board
8 A.A. 206/17 01/10/2016 30/11/2017 COSSALTER VITTORE (Presidente)
DORIA ALBERTO (Membro Effettivo)

Prerequisites: None
Target skills and knowledge: Providing students with the basic technical knowledge (laws, equations, theorems) for modeling mechanical systems. Presenting the chief components for motion generation and power transmission. Investigating the methods for the kinematics and dynamics analysis of machines, with reference, in particular, to planar motion.
Examination methods: Written assessment
Course unit contents: INTRODUCTION: definition of machine and mechanism. Equilibrium, constitutive and congruence equations, simplifying hypotheses. Analysis and synthesis of machines: definition of forward and inverse kinematic analysis, definition of forward and inverse dynamic analysis, kinematic synthesis.

KINEMATICS OF PLANAR LINKAGES: relative motion, kinematic pairs, Grubler equation, loop-closure equations, choice of the independent equations. Assur groups, identification of Assur groups in a mechanism. Loop closure equation Jacobian matrix, numerical iterative solution of position loop closure equations; Newton-Raphson iterative scheme. Solution of position, velocity and acceleration kinematics analysis, velocity and acceleration ratios. Singular configurations. Basic examples: slider-crank mechanism, four-bar linkage, turning-block linkage. Exercises.

DYNAMICS OF PLANAR LINKAGES: essentials of rigid-body mechanics and mass distribution. Principle of virtual work: definition and application to inverse dynamics problems. D’Alambert principle; kinetostatic application of the principle of virtual work. Lagrange equations. Solution of inverse dynamics problems using Newton’s approach, computation of joint reactions. Forward dynamics essentials. Exercises.

POWER TRANSMISSION COMPONENTS: gear trains: definitions, essentials of gears, ordinary and planetary gear trains, Willis equation, computation of the actual gear ratio, efficiency, epicyclic speed-reducers.
Textbooks (and optional supplementary readings)
  • M. Giovagnoni, A. Rossi, Introduzione allo studio dei meccanismi. Padova: Edizioni Libreria Cortina, 1996. Cerca nel catalogo
  • E. Funaioli, A. Maggiore, U. Meneghetti, Lezioni di meccanica applicata alle macchine. Bologna: Patron Editore, 2005. Cerca nel catalogo