33998 - Mechanics of Vibrations and Experimentation of Mechanical Systems Laboratory M

Course Unit Page


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

Industry, innovation and infrastructure

Academic Year 2021/2022

Learning outcomes

Students are introduced to experimental procedures and methods for identification, design, analysis of dynamical models of mechanical systems.

Course contents

This course discusses from the experimental and numerical point of view the main techniques commonly employed in experimental identification of mechanical systems, showing that some useful results can be obtained in solving problems arising in the industrial practice. Numerical modeling techniques for multi-degree-of-freedom mechanical systems is first outlined. Discretization of continuous systems is also considered, and some techniques (FEM,spectral modeling) are briefly illustrated. Identification of structural and modal system parameters then follows, and some time and frequency-based techniques are shown, and numerical and experimental applications are outlined.

Some practical examples, concerning the application of some previously defined techniques, are also reported.

- Free and forced vibration of single and multi-degree-of-freedom systems, real and complex damping ;

- structural v/s modal model;

- experimental modal analysis (EMA): time and frequency domain identification techniques;

_ response simulations;

_ structural modifications;

_ application examples:

_ model identification and structural modification;

_ Signal analysis and processing techniques: Forier Series, DFT, FFT, continuous Fourier and Laplace transform operator. Windows, digital filtering, FRF estimate (H, H2, Hv, H3), zero-padding. Numerical simulation and real time experimental applications in laboratory.


- Bendat, J.S., Piersol, A.G., Random Data Analysis and Measurement Procedures, III ed., Wiley, N.Y., 2000;

- Bendat, J.S., Piersol, A.G., Engineering Applications of Correlation and Spectral Analysis, II ed., Wiley, N.Y., 1993;

- Bendat, J.S., Nonlinear System Techniques and Applications, Wiley, N.Y., 1998;

- Cochin, I., Cadwallender, W., Analysis and Design of Dynamic Systems, III ed., Addison-Wesley, Reading, 1997;

- de Silva, C., W., Vibrations Fundamentals and Practice, CRC Press, Boca Raton, 2000, http://www.engnetbase.com/ejournals/books/book_summary/summary.asp?id=426;

- Ewins, D. J., Modal Testing, II ed., Research Studies Press, Philadelfia, 2000;

- Fahy, F., Sound and Structural Vibration, Academic Press, London, 1985,

- Inman, D.J., Vibration with control measurement and stability, Prentice-Hall, London, 1989;

- James, M.L., Smith, G.M., Wolford, .J.C., Whaley, P.W., Vibration of Mechanical and Structural Systems, Harper & Row, NY, 1989;

- McConnell, K.G., Vibration Testing theory and practice, Wiley, N.Y., 1995;

- Meirovitch, L., Computational Methods in Structural Mechanics, Sijtoff & Noordhoff, Rockville, Usa, 1980

- Newland, D.E., Random Vibrations and Spectral Analysis, II ed., Longman, N.Y., 1984;

- Newland, D.E., Mechanical Vibration Analysis and Computation, Longman, Singapore, 1989;

- Thomson, W.T., Theory of vibration with applications, Chapman &Hall, London, IV ed., 1993

- Przemienecki, J.S., Theory of Matrix Structural Analysis, McGraw-Hill, N.Y. 1968

Teaching methods

Lectures with blackboard and slides and notebook+overhead projector.

Assessment methods

Oral examination: discussion of topics listed in the program. Discussion of a specific topic or solution of a numerical application concerning mechanical vibrations with experimental application.

Teaching tools

Lectures with blackboard and slides and notebook+overhead projector, pen and tablet computer, Teams software.

Office hours

See the website of Giuseppe Catania