Одељење за механику, 16. децембар 2020.

Наредни састанак Семинара биће одржан у среду, 16. децембра 2020, у сали 301ф Математичког института САНУ са почетком у 18 часова.

Предавач: Данило Карличић, Математички институт САНУ


Апстракт: 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 computation time for jointed periodic structures will be explained and in conclusion some tips for future research will be given.

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