000001818 001__ 1818
000001818 005__ 20141118153453.0
000001818 04107 $$acze
000001818 046__ $$k2010-05-10
000001818 100__ $$aSobotka, J.
000001818 24500 $$aOn application of generalized functions to calculations of thin-walled beams

000001818 24630 $$n16$$pEngineering Mechanics 2010
000001818 260__ $$bInstitute of Thermomechanics AS CR, v.v.i., Prague
000001818 506__ $$arestricted
000001818 520__ $$2eng$$aThis article presents Ph.D. thesis dealing with applications of generalized functions (distributions) to analytical calculations of thin-walled beams with discontinuities in loading, supports, mid-line contour geometry and due to internal hinges or couplings. Three mathematical models of thin-walled beams have been generalized here using the distributional derivative in order to hold true also at points of discontinuity of unknown quantities. The first model is for thin-walled prismatic beam bending that covers the effect of shear lag based on the first approximation of mid-sUljace shear strain. The second one is for restrained torsion of open cross-section thin-walled prismatic bars. The third one is for coupled bending and torsion of open cross-section thin-walled prismatic beams that covers the effect of restrained wmping using plane approximation of bending warping and sectorial approximation of mid-line contour warping.

000001818 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000001818 653__ $$a

000001818 7112_ $$aEngineering Mechanics 2010$$cSvratka (CZ)$$d2010-05-10 / 2010-05-13$$gEM2010
000001818 720__ $$aSobotka, J.
000001818 8560_ $$ffischerc@itam.cas.cz
000001818 8564_ $$s7802029$$uhttps://invenio.itam.cas.cz/record/1818/files/Sobotka-018-PT.pdf$$y
             Original version of the author's contribution as presented on CD, SOL.
            
000001818 962__ $$r1750
000001818 980__ $$aPAPER