000014222 001__ 14222
000014222 005__ 20161115100145.0
000014222 04107 $$aeng
000014222 046__ $$k2016-08-21
000014222 100__ $$aZhavoronok, Sergey
000014222 24500 $$aHigh-order shell theory based on the analytical continuum dynamics formalism

000014222 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014222 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014222 506__ $$arestricted
000014222 520__ $$2eng$$aA new variational formulation for the general theory of thick anisotropic shells is proposed. The dimensional reduction approach is combined with the Lagrangian formalism of analytical dynamics of continua. The shell model is defined on the two-dimensional manifold and consists in the configuration space with a set of field variables, the Lagrangian density, and the constraint equations. Here the field variables of the first kind are defined as biorthogonal expansion coefficients of the displacement vector with respect to the normal coordinate, the dimensional reduction of Lagrangian volumetric density results its surface density, and the constraint equations are derived from the boundary conditions on shell’s faces. The equations of motion are formulated as Lagrange equations of the second kind. The low-order theories are constructed using the presented formalism, and their correspondence with the classical theories is shown.

000014222 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014222 653__ $$a

000014222 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014222 720__ $$aZhavoronok, Sergey
000014222 8560_ $$ffischerc@itam.cas.cz
000014222 8564_ $$s72797$$uhttps://invenio.itam.cas.cz/record/14222/files/PO.SM04-1.28.242.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1998, code PO.SM04-1.28.242
.
000014222 962__ $$r13812
000014222 980__ $$aPAPER