000003807 001__ 3807
000003807 005__ 20141118153346.0
000003807 04107 $$acze
000003807 046__ $$k2008-05-12
000003807 100__ $$aSobotka, J.
000003807 24500 $$aON APPLICATIONS OF GENERALIZED FUNCTIONS TO CALCULATION OF THIN-WALLED BEAM DESIGN ELEMENTS SUBJECT TO NON-UNIFORM TORSION

000003807 24630 $$n14$$pEngineering Mechanics 2008
000003807 260__ $$bInstitute of Thermomechanics AS CR, v.v.i., Brno
000003807 506__ $$arestricted
000003807 520__ $$2eng$$aVlasov's mathematical model of the restrained torsion of a prismatic thin-walled open-section beam contains derivatives of unknown functions which are the torque, the bimoment, the twist, and the rotation of cross sections. But these derivatives are not defined at such points between ends of a beam where a concentrated torsional load or a concentrated bimoment load or an internal support or an internal coupling is located. In order that the Vlasov's mathematical model of thin-walled open-section elastic beam subjected to torsion allowing for constrained warping may hold true also at the points of discontinuity mentioned, which are common in calculating experience, we have used the distributional derivatives for the unknown quantities, and developed generalized mathematical model in the form of a system of ordinary differential equations (SODE). In order to solve this generalized model we use the Laplace transform, and find the general solution which is the generalization of the initial parameters' method since it covers also bars with internal couplings.

000003807 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000003807 653__ $$a

000003807 7112_ $$aEngineering Mechanics 2008$$cSvratka (CZ)$$d2008-05-12 / 2008-05-15$$gEM2008
000003807 720__ $$aSobotka, J.
000003807 8560_ $$ffischerc@itam.cas.cz
000003807 8564_ $$s314921$$uhttp://invenio.itam.cas.cz/record/3807/files/Sobotka_FT.pdf$$y
             Original version of the author's contribution as presented on CD, , page 852.
            
000003807 962__ $$r3717
000003807 980__ $$aPAPER