Odeljenje za mehaniku, 16. decembar 2020.

• 13. Decembar,  2020
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Naredni sastanak Seminara biće održan u sredu, 16. decembra 2020, u sali 301f Matematičkog instituta SANU sa početkom u 18 časova.

Predavač: Danilo Karličić, Matematički institut SANU

Naslov predavanja: FLOQUET-BLOCH WAVES IN PERIODIC ELASTIC STRUCTURES

Apstrakt: In the first part, the methodology to carry out the analysis of  Bloch wave propagation in an array of vertically aligned and elastically connected structural elements such as beams, strings, plates, or other slender structures will be presented. The suggested approach is based on the Floquet-Bloch theorem and Galerkin approximations used in defining the eigenvalue problem and obtaining the band structure of the periodic systems. In the second part of presentation, we will focus on the elastic wave propagation analysis and phenomenon known as mode veering in pre-stressed Timoshenko beams based hexagonal lattice embedded in an elastic medium. Here, the frequency band structure of the presented lattice system obtained by using the Floquet-Bloch theorem and the finite element method will be discussed in detail. Moreover, the reasons for introducing the Hurty-Craig-Bampton method in reducing the number of degrees of freedom and computatio time for jointed periodic structures  will be explained and in conclusion some tips for future research will be given.

Napomena: Predavanje se može naknadno pogledati na linku
https://miteam.mi.sanu.ac.rs/asset/sL2JyyLQwBsoyKaZS.
ukoliko predavač da svoju saglasnost.

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