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Analysis and Design of Linear and Nonlinear Metastructures (LNM)

ABSTRACT

This course offers a comprehensive introduction to nonlinear structural dynamics including significant nonlinear oscillators and relevant methods of solutions. It is based on a balance between theory and applications, and includes the latest advances in metastructure research. Nonlinearities, hysteretic oscillators, quasi-periodic structures and metastructures will be discussed for the vibration mitigation of industrial components and small modular reactors. Theoretical classes will be complemented by numerical exercises and lab experiments.

 

COURSE CONTENT

  • Introduction to finite lattices and metastructures
  • Motion in large. Perturbation methods. Duffing oscillators
  • Solutions of the dynamics of a nonlinear cell
  • Analysis of quasi-periodical and periodic metastructures
  • Vibration mitigation of industrial components and small modular reactors
  • Hands-on tutorials and lab experiments

 

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

  1. Wenzel, M., BURSI, O.S. and Antoniadis, I., ” Optimal finite locally resonant metafoundations enhanced with nonlinear negative stiffness elements for seismic protection of large storage tanks”, Journal of Sound and Vibration, Volume 483, 29 September 2020, 115488.
  2. Xiao L., BURSI, O.S., Wang, M., Nagarajaiah, S. Sun, F., Du, X-L, “Metamaterial beams with negative stiffness absorbers and rotation: band-gap behavior and band-gap merging”, Engineering Structures, 280,115702, 1 April 2023. https://doi.org/10.1016/j.engstruct.2023.115702
  3. Guner, T., Nardin, C., BURSI, O.S., Erlicher, S., Monteil, A. “Design standardisation and seismic protection of SMRs through modular metafoundations”, Nuclear Engineering and Design, Volume 426, 1 September 2024, 113347.
  4. Meirovitch, L., Elements of vibration analysis,  McGraw Hill.
  5. Rao, S.S., Mechanical vibrations, Pearson Prentice Hall.
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:  8 May – 9 May 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: Analysis and Design of Linear and Nonlinear Metastructures
    • Code of single class/teaching activity: M220_36
    • 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:

(*) 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.