000022285 001__ 22285
000022285 005__ 20170622150005.0
000022285 04107 $$aeng
000022285 046__ $$k2015-05-25
000022285 100__ $$aTovstik, Petr
000022285 24500 $$aTWO-DIMENSIONAL LINEAR MODEL OF ELASTIC SHELL MADE OF ANISOTROPIC HETEROGENEOUS MATERIAL

000022285 24630 $$n5.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000022285 260__ $$bNational Technical University of Athens, 2015
000022285 506__ $$arestricted
000022285 520__ $$2eng$$aA thin linearly elastic shell made of heterogeneous anisotropic material is studied. The general anisotropy described by 21 elastic moduli is examined. The material may be functionally graduated or multi-layered. The asymptotic expansions in powers of the relative shell thickness of the three-dimensional elasticity equations are used to deliver the two-dimensional shell model. In the zeroth-order approximation the model of 8th differential order is obtained. The asymptotic precision of this model is the same as the precision of the classic Kirchhoff–Love model for isotropic shell. Influence of the elastic moduli variation in the thickness direction is examined. As an example the Donnell system for shallow shells is presented, and this system is used to discuss the free transversal shell vibrations spectrum.

000022285 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000022285 653__ $$aThin Shell, Linear Two-dimensional model, General Anisotropy, Asymptotical Expansions.

000022285 7112_ $$aCOMPDYN 2015 - 5th International Thematic Conference$$cCrete (GR)$$d2015-05-25 / 2015-05-27$$gCOMPDYN2015
000022285 720__ $$aTovstik, Petr$$iAl'chibaev, Daniil$$iTovstik, Tatiana P.
000022285 8560_ $$ffischerc@itam.cas.cz
000022285 8564_ $$s305886$$uhttps://invenio.itam.cas.cz/record/22285/files/C2851.pdf$$yOriginal version of the author's contribution as presented on CD, section: 
.
000022285 962__ $$r22030
000022285 980__ $$aPAPER