000001966 001__ 1966
000001966 005__ 20141118153448.0
000001966 04107 $$acze
000001966 046__ $$k2011-05-09
000001966 100__ $$aSobotka, J.
000001966 24500 $$aON APPLICATIONS OF GENERALIZED FUNCTIONS TO CALCULATION OF THIN CYLINDRICAL SHELLS 

000001966 24630 $$n17.$$pEngineering Mechanics 2011
000001966 260__ $$bInstitute of Thermomechanics AS CR, v.v.i., Brno
000001966 506__ $$arestricted
000001966 520__ $$2eng$$aThe mathematical model of a thin cylindrical shell according to Timoshenko and Love bending theory contains derivatives of generalized internal forces and deformation components. However these derivatives are not defined at such points between ends of the shell where a concentrated loading or an internal support or coupling is located. In order that the mathematical model of a thin cylindrical shell subjected to axisymmetric loading may hold true at the points of discontinuity mentioned, which are common in calculating experience, we have used the distributional derivative for the unknown quantities, and developed a generalized mathematical model in the form of a system of ordinary differential equations (SODE). We have found the general solution to the SODE by using the Laplace transform method and symbolic programming approach. The solution found is a generalization of Krylov functions method.

000001966 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000001966 653__ $$aThin cylindrical shell, discontinuities, Dirac singular distribution, Heaviside step function.

000001966 7112_ $$aEngineering Mechanics 2011$$cSvratka (CZ)$$d2011-05-09 / 2011-05-12$$gEM2011
000001966 720__ $$aSobotka, J.
000001966 8560_ $$ffischerc@itam.cas.cz
000001966 8564_ $$s655624$$uhttp://invenio.itam.cas.cz/record/1966/files/p128.pdf$$y
             Original version of the author's contribution as presented on book, page 551.
            
000001966 962__ $$r1835
000001966 980__ $$aPAPER