Random Vibrations and Uncertainty Quantification for Metamaterials (RVUQ)

Name (Acronym)

Random Vibrations and Uncertainty Quantification for Metamaterials (RVUQ)
ECTS

3
Contact E-mail

marco.broccardo@unitn.it, oreste.bursi@unitn.it
Teachers

Prof. BROCCARDO Marco, Prof. BURSI Oreste S.
Syllabus

ESSE3 Page
Institution

DICAM, University of Trento
Study Program

MAII M3
Degree

Postgraduate
Language

English

Information
Registration

ABSTRACT

Excitations affecting metamaterials and metastructures, like ambient noise, earthquakes, wind, and ocean waves, are inherently stochastic. This course introduces stochastic processes and random vibrations for modeling and evaluating their stocastic dynamic response. Special attention is given to applications in ambient noise and earthquake engineering. The course deepens understanding of metamaterial and metastructure dynamics, including frequency domain analysis, coherency of inputs, and modal cross-correlations—essential for assessing their effectiveness in applications like energy harvesting and advanced seismic isolation systems.

COURSE CONTENT

Probability theory and random processes
Analysis of discrete and continuous periodic systems
Transfer Matrix method
Correlation and power spectral density functions
Stochastic dynamic analysis of periodic structures subjected to stationary and non-stationary random excitations
Stochastic dynamic analysis of periodic structures subjected to spatially varying excitations

TEACHING ACTIVITIES

The teaching activity includes theoretical lessons, exercises and lab experiments. The exam consists of a written test with multiple-choice questions on the course topics.

FURTHER READINGS

BURSI, O.S., Basone, F. and Wenzel, M., ” Stochastic analysis of locally resonant linear and hysteretic metamaterials for seismic isolation of process equipment”, Journal of Sound and Vibration, 2021, 510, 116263
Aloschi, F., BURSI, O.S., Palermo, A. and Marzani, A., A time domain procedure for the identification of periodic structures. International Journal of Mechanical Sciences, Volume 269, 1 May 2024, 109054,
Guner, T., BURSI, O.S. & Broccardo M., “Seismic vibration mitigation of steel storage tanks by metafoundations endowed with linear and bistable columns “, Bulletin of Earthquake Engineering, 24 April 2023, (published online), https://doi.org/10.1007/s10518-023-01692-0

Each registered participant acknowledges that the material distributed in the frame of the courses, available for the duration of the current edition of the Postgraduate program, is protected by copyright and delivered for educational purposes and personal use only. The participant agrees and undertakes not to forward, publish, disclose, distribute, disseminate – in any form or manner – such a material without written consent of the author(s) of the material. Unless otherwise explicitly allowed by the speaker in written form, no recordings of the online lectures can be made.

Course Information

Date:	27 March – 28 March 2025 (15 hours)
Format:	The course is offered on-site and on-line (synchronous and asynchronous) with video recordings, hand-outs, etc. of the lectures available off-line

Registration Information

UniTN Students:	Free
EXTERNAL Students:	216 Eu: First course 180 Eu: Every course from the second one

The fees include the course teaching, video recordings, hand-outs, etc. (*).

Registration Procedure for UniTN Students

Please contact the Student Support Office of your Department/Centre/School to include the course in your study plan.

Registration Procedure for EXTERNAL Students

Step 1: Register a "guest" type account (@guest.unitn.it)

Should you still not have a UniTN account, you have to register and log in with your SPID identity or CIE (electronic ID card). If you cannot use SPID or CIE, please create your own UniTN account.

Step 2: Enroll to a Single UniTN Course

Complete the online application through the dedicated webpage.
In the application form (Section "Teaching Activities") put the following information:
- Name of single class/teaching activity: Random Vibrations and Uncertainty Quantification for Metamaterials
- Code of single class/teaching activity: M220_35
- Degree course to which the teaching activity is associated: [M220] Master in Multifunctional Metamaterials and Metastructures
Once received the outcome of the application (1-3 days), login into ESSE3 with your "guest" account user-name and password. Then, pay the bulletin you find in Administrative Office – Payments.

NOTES:

A vademecum with a step-by-step guide to enroll to a single course at the University of Trento is available here
For any question on the registration process, please write to 2025.MAII.M3.UniTN.TRENTO.IT@unitn.it

(*) Each registered participant acknowledges that the material distributed in the frame of the courses, available for the duration of the current edition of the Postgraduate program, is protected by copyright and delivered for educational purposes and personal use only. The participant agrees and undertakes not to forward, publish, disclose, distribute, disseminate – in any form or manner – such a material without written consent of the author(s) of the material. Unless otherwise explicitly allowed by the speaker in written form, no recordings of the online lectures can be made.