000001710 001__ 1710
000001710 005__ 20141118153457.0
000001710 04107 $$acze
000001710 046__ $$k2007-05-14
000001710 100__ $$aSobotka, J.
000001710 24500 $$aON APPLICATIONS OF GENERALIZED FUNCTIONS TO CALCULATION OF BEAM-COLUMN DESIGN ELEMENTS

000001710 24630 $$n13$$pEngineering Mechanics 2007
000001710 260__ $$bInstitute of Thermomechanics AS CR, v.v.i., Prague
000001710 506__ $$arestricted
000001710 520__ $$2eng$$aThe classical mathematical model of beam-columns contains derivatives of functions for the bending moment, the shear force, the axial force, the slope, and the deflection, that are not defined at points in which internal supports or concentrated lateral and axial loading or internal hinges or internal sliding connections are situated. In order that the mathematical model of the beam-columns may be valid also at these points of discontinuity we use generalized functions and derive the generalized mathematical model in the form of a system of ordinary differential equations. We use the Laplace transform for solving this generalized model with constant axial tension force. The solution found is the generalization of the classical initial parameters method because it covers also discontinuous beam-columns, i.e. with internal hinges or internal sliding connections.

000001710 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000001710 653__ $$a

000001710 7112_ $$aEngineering Mechanics 2007$$cSvratka (CZ)$$d2007-05-14 / 2007-05-17$$gEM2007
000001710 720__ $$aSobotka, J.
000001710 8560_ $$ffischerc@itam.cas.cz
000001710 8564_ $$s206780$$uhttps://invenio.itam.cas.cz/record/1710/files/125-Sobotka-PT.pdf$$y
             Original version of the author's contribution as presented on CD, .
            
000001710 962__ $$r1585
000001710 980__ $$aPAPER