000003973 001__ 3973
000003973 005__ 20141118153340.0
000003973 04107 $$acze
000003973 046__ $$k2009-05-11
000003973 100__ $$aSobotka, J.
000003973 24500 $$aOn application of generalized functions to calculations of thin-walled beams under plane bending considering constrained warping

000003973 24630 $$n15.$$pEngineering Mechanics 2009
000003973 260__ $$bInstitute of Theoretical and Applied Mechanics AS CR, v.v.i., Prague
000003973 506__ $$arestricted
000003973 520__ $$2eng$$aWhen a thin-walled beam is bent secondary membrane stresses may arise owing to the restraint of warping. These secondary stresses may have the same order as primary stresses which may be calculated according to the classical Bernoulli-Navier hypothesis. In order to simplify the practical computations of these secondary stresses we modify the mathematical model (Hýča, 1990) to be valid also at such points where discontinuities of unknown quantities occur. To solve this task we use generalized functions. The discontinuities may be expressed using the Heaviside unit step function or Dirac distribution. The general solution to the mathematical model with generalized functions of the thin-walled beam with constrained warping is computed by means of the Laplace transform method.

000003973 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000003973 653__ $$a

000003973 7112_ $$aEngineering Mechanics 2009$$cSvratka (CZ)$$d2009-05-11 / 2009-05-14$$gEM2009
000003973 720__ $$aSobotka, J.
000003973 8560_ $$ffischerc@itam.cas.cz
000003973 8564_ $$s315247$$uhttps://invenio.itam.cas.cz/record/3973/files/Sobotka-105-PT.pdf$$y
             Original version of the author's contribution as presented on CD, 105.
            
000003973 962__ $$r3852
000003973 980__ $$aPAPER