On numerical realization of the problem of torsion and bending of prismatic bars of arbitrary cross section / S. Yu. Fialko, D. Lumelskyy // Journal of Mathematical Sciences [Dokument elektroniczny]. – ... więcej

On numerical realization of the problem of torsion and bending of prismatic bars of arbitrary cross section / S. Yu. Fialko, D. Lumelskyy // Journal of Mathematical Sciences [Dokument elektroniczny]. – 2013, Vol. 192, No. 6, s. 664-681 : il. – Tryb dostępu: http://link.springer.com/article/10.1007%2Fs10958-013-1424-4. – Bibliogr. 12 poz., Streszcz. ang. – doi: 10.1007/s10958-013-1424-4. – ISSN 1573-8795

We have developed a program complex for the determination of geometric characteristics and analysis of tangential stresses of prismatic bars with an arbitrary cross section in the stages of preprocessor, ... więcej

We have developed a program complex for the determination of geometric characteristics and analysis of tangential stresses of prismatic bars with an arbitrary cross section in the stages of preprocessor, processor, and postprocessor data processing in a finite-element analysis. Based on the principle of possible displacements, we obtain variational functionals for the Saint-Venant problem of torsion of a prismatic bar and bending by a transverse force, which does not cause torsion. These functionals are directly used to obtain resolving relations of the finite-element method. On the basis of the Betti reciprocal theorem, the coordinates of the center of bending are determined. We formulate all the relations for the buckling function, which enables us to avoid problems connected with nonuniqueness with the use of the Prandtl function of stresses in the case of a multiply connected domain.