First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
MECHATRONIC ENGINEERING
Course unit
MECHANICAL VIBRATIONS
IN05105686, A.A. 2017/18

Information concerning the students who enrolled in A.Y. 2017/18

Information on the course unit
Degree course Second cycle degree in
MECHATRONIC ENGINEERING
IN0529, Degree course structure A.Y. 2011/12, A.Y. 2017/18
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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 Management and Engineering
E-Learning website https://elearning.unipd.it/dtg/course/view.php?idnumber=2017-IN0529-000ZZ-2017-IN05105686-N0
Mandatory attendance No
Language of instruction Italian
Branch VICENZA
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

Lecturers
Teacher in charge ALBERTO TREVISANI ING-IND/13

Mutuating
Course unit code Course unit name Teacher in charge Degree course code
IN05105686 MECHANICAL VIBRATIONS ALBERTO TREVISANI IN0531

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

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

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

Calendar
Start of activities 26/02/2018
End of activities 01/06/2018
Show course schedule 2019/20 Reg.2011 course timetable

Examination board
Board From To Members of the board
9 2018 01/10/2018 15/03/2020 TREVISANI ALBERTO (Presidente)
RICHIEDEI DARIO (Membro Effettivo)
BOSCARIOL PAOLO (Supplente)
BOSCHETTI GIOVANNI (Supplente)
CARACCIOLO ROBERTO (Supplente)
8 2017 01/10/2017 15/03/2019 TREVISANI ALBERTO (Presidente)
RICHIEDEI DARIO (Membro Effettivo)
BOSCARIOL PAOLO (Supplente)
BOSCHETTI GIOVANNI (Supplente)
CARACCIOLO ROBERTO (Supplente)
7 2016 01/10/2016 15/03/2018 TREVISANI ALBERTO (Presidente)
RICHIEDEI DARIO (Membro Effettivo)
BOSCARIOL PAOLO (Supplente)
BOSCHETTI GIOVANNI (Supplente)
CARACCIOLO ROBERTO (Supplente)

Syllabus
Prerequisites: None
Target skills and knowledge: Providing students with technical and practical knowledge in the dynamics of vibrating systems. Discussing discrete and continuous models useful for reproducing vibrational phenomena and for understanding the excitation mechanisms. Clarifying the chief techniques for measuring vibrations in mechanical system
Examination methods: Written and oral assessment
Course unit contents: VIBRATIONS OF SINGLE-DEGREE-OF-FREEDOM MECHANICAL SYSTEMS: the harmonic oscillator, natural frequency and damping ratio. Free vibrations, transient response, damping ratio estimation. Instability, self-excited vibrations. Forced vibrations (harmonic excitation), complex vector notation, frequency response of a damped harmonic oscillator, transmissibility, vibration excited by an unbalanced mass. Vibration isolation, choice of antivibration mountings. Impulse response. Response to an arbitrary force, convolution integral, convolution theorem, correspondence between Fourier transform of the impulse response and frequency response. Harmonic oscillator-like mechanical systems, linearization of dynamic models. Torsional vibrasions. Vibrations induced by inertial forces in slider crank mechanisms. Balancing of multi-cylinder engines. Examples and exercises.

VIBRATIONS OF MULTI-DEGREE-OF-FREEDOM MECHANICAL SYSTEMS: equations of motion in linear matrix form. Mass and stiffness matrices: definitions and properties. Stiffness matrices and elastic energy definition. Positive definite and positive semidefinite systems. Mass matrices and kinetic energy definition. Modal analysis, eigenvalue problem, natural frequencies and modes of vibration, modal matrix and equation of motion decoupling. Free undamped vibrations, examples. Beat. Modal and Rayleigh damping. Modal load and time response by modal superposition. Resonance and antiresonance, Frahm’s active vibration absorber, dynamic vibration absorbers (DVA, TMD).

VIBRATIONS OF CONTINUOUS SYSTEMS: continuous models for slander beams, frequency equations, modes of vibration of pinned-pinned beams, clamped-clamped beams, free beams and cantilever beams. Free and forced vibration. Exercise: experimental evaluation of the natural frequencies of a free beam.

VIBRATION MEASUREMENT AND CONTROL: vibration measurement equipments, contact and non-contact devices, piezo accelerometers, vibration measurement methods, spectral analyzers. Experimental data conditioning techniques. Methods and instruments for the experimental evaluation of the modal parameters of structures and mechanisms: electrodynamic shakers and impact test. Optimal estimate of the frequency response by means of averages of auto and cross spectra. Example of active vibration control: sky-hook damping. Laboratory experiences.
Textbooks (and optional supplementary readings)
  • M. Giovagnoni, Analisi delle vibrazioni nei sistemi meccanici. Padova: Edizioni Libreria Cortina, 2009. Cerca nel catalogo
  • J.P. Den Hartog, Mechanical Vibrations. New York: Dover, 1985. Cerca nel catalogo