First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
Course unit
IN05105686, A.A. 2019/20

Information concerning the students who enrolled in A.Y. 2019/20

Information on the course unit
Degree course Second cycle degree in
IN0518, Degree course structure A.Y. 2011/12, A.Y. 2019/20
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Number of ECTS credits allocated 9.0
Type of assessment Mark
Course unit English denomination MECHANICAL VIBRATIONS
Department of reference Department of Industrial Engineering
E-Learning website
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

Teacher in charge ALBERTO DORIA ING-IND/13

Course unit code Course unit name Teacher in charge Degree course code

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Core courses ING-IND/13 Applied Mechanics for Machinery 9.0

Course unit organization
Period First semester
Year 1st Year
Teaching method frontal

Type of hours Credits Teaching
Hours of
Individual study
Lecture 9.0 72 153.0 No turn

Start of activities 30/09/2019
End of activities 18/01/2020
Show course schedule 2019/20 Reg.2011 course timetable

Examination board
Board From To Members of the board
7 A.A. 2019/20 01/10/2019 30/11/2020 DORIA ALBERTO (Presidente)
LOT ROBERTO (Membro Effettivo)
6 A.A. 2018/19 01/10/2018 30/11/2019 DORIA ALBERTO (Presidente)
MASSARO MATTEO (Membro Effettivo)

Prerequisites: Calculus I
Fundamentals of Linear Algebra and Geometry
Numerical analysis
Calculus II
Mechanics of machines*
Mechanics of Solids

* Only for students of Mechanical and Aerospace Engineering
Target skills and knowledge: Provide students with the theoretical and computational tools needed to solve vibration problems in mechanical systems.
Provide students with the basics of the techniques of identification and monitoring of mechanical systems.
Examination methods: The exam focuses on the entire program and consists mainly of a written test, which includes both numerical exercises and theory questions.
Approximately there are 2-3 exercise questions and 2-3 theory questions. Each question is associated with a score that appears in the exam track, so that the student can have an indication of the score he can reach.
The total duration of the written test is at least 2 hours.
The oral exam is only foreseen in three cases
a) If the result in the written test is 16 or 17/30. In this case, the student is given the opportunity to achieve sufficiency by an oral exam on the date indicated by the teacher.
b) If the student wishes to improve any sufficient mark obtained in the written test, even in this case the oral test must be sustained in the same appeal on the date indicated by the teacher.
c) If the student obtained a very negative mark (<10/30) in a previous written test, even in this case the oral test must be sustained in the same appeal on the date indicated by the teacher
Assessment criteria: To pass the exam the student must demonstrate the ability of modeling vibrating systems with concentrated and distributed parameters and the ability of understanding the physical phenomena that govern the vibrations of mechanical systems.
In detail, numerical exercises are evaluated positively if the calculation method adopted is correct and the final result is correct.
The answers to the theory questions are evaluated positively, if the physical / mathematical treatment is correct, the exposure is clear and the treatment is complete.
Course unit contents: Frequency analysis of vibrations.
Linear systems with one degree of freedom: Free and forced vibrations in the presence of harmonic, transient, periodic and random forces.
Linear systems with concentrated parameters and n degrees of freedom: equations of motion in matrix form, free vibrations (natural frequencies and mode shapes) and forced vibration.
Modal approach and experimental modal analysis.
Continuous systems: vibrations of beams and ropes, analytical solutions and approximate methods.
Introduction to numerical methods for the study of the vibrations.*
Self-excited vibrations and dynamic stability.*

Vibration isolation.
Dynamic absorbers.*
Rotor dynamics.*
Elements of Sound and Vibration.*
Notes on active vibration control.*
Outline of energy harvesting techniques.

*Only for students of Mechanical and Aerospace Engineering
Planned learning activities and teaching methods: Lectures of theory and exercises.
Laboratory on experimental modal analysis.
Additional notes about suggested reading: Lecture notes in Moodle DII
Textbooks (and optional supplementary readings)
  • S. Bergamaschi V. Cossalter, Esercizi di Meccanica delle Vibrazioni. Padova: Cortina, 1983. Cerca nel catalogo
  • D. J. Inman, Engineering Vibration - second edition. Upper Saddle River NJ: Prentice Hall, 2000. Cerca nel catalogo
  • D Thorby, Structural Dynamics and Vibration in Pratice. Amsterdam: Elsevier, 2008. Cerca nel catalogo
  • R. Basso, Elementi di Meccanica delle Vibrazioni II Edizione. Padova: Ed. Librerie Progetto, 2014. Cerca nel catalogo

Innovative teaching methods: Teaching and learning strategies
  • Laboratory
  • Loading of files and pages (web pages, Moodle, ...)

Innovative teaching methods: Software or applications used
  • Moodle (files, quizzes, workshops, ...)
  • ModalView

Sustainable Development Goals (SDGs)
Affordable and Clean Energy