000015346 001__ 15346
000015346 005__ 20161115100219.0
000015346 04107 $$aeng
000015346 046__ $$k2016-08-21
000015346 100__ $$aPiccolroaz, Andrea
000015346 24500 $$aDispersion and localization in flexural waves supported by Rayleigh beam structures

000015346 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015346 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015346 506__ $$arestricted
000015346 520__ $$2eng$$aThe paper presents novel analysis of Floquet-Bloch flexural waves in a periodic lattice-like structure consisting of flexural beam ligaments. A special feature of this structure is in the presence of the rotational inertia, which is commonly neglected in conventional models of the Euler-Bernoulli type. The dispersion properties of the Rayleigh beam structure with rotational inertia include degeneracies linked to Dirac cones on the dispersion diagrams as well as directional anisotropy and special refraction properties. Steering of Dirac cones is described for rectangular flexural structures with a rotational inertia. The paper also brings a comparative analysis between dynamic models of couple-stress elastic materials and structured Rayleigh beams on a Winkler foundation. Although physical phenomena have different physical origins, the underlying equations appear to be similar, and hence mathematical models have a lot in common.

000015346 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015346 653__ $$a

000015346 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015346 720__ $$aPiccolroaz, Andrea
000015346 8560_ $$ffischerc@itam.cas.cz
000015346 8564_ $$s98373$$uhttps://invenio.itam.cas.cz/record/15346/files/TS.SM10-2.03.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2476, code TS.SM10-2.03
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000015346 962__ $$r13812
000015346 980__ $$aPAPER