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TsAGI Science Journal

ISSN Imprimer: 1948-2590
ISSN En ligne: 1948-2604

TsAGI Science Journal

DOI: 10.1615/TsAGISciJ.2018025651
pages 579-595

NUMERICAL METHODS FOR DETERMINING TORSIONAL STIFFNESS OF PRISMATIC RODS

Vladimir Mikhailovich Uskov
Central Aerohydrodynamic Institute (TsAGI), 1, Zhukovsky Str., Zhukovsky, Moscow Region, 140180, Russian Federation
Aleksandr Vasilievich Chedrik
Central Aerohydrodynamic Institute (TsAGI), 1, Zhukovsky Str., Zhukovsky, Moscow Region, 140180, Russian Federation
Vasilii Vasil'evich Chedrik
Central Aerohydrodynamic Institute (TsAGI), Zhukovsky St. 1, Zhukovsky 140180, Russia

RÉSUMÉ

Numerical methods for solving the Saint-Venant problem on torsion of a rod with an arbitrarily shaped cross section are considered. A comparative analysis of these methods is performed for two cross sections that have the exact analytical solutions and complicated cross sections of practical significance. Various approaches are developed for solving the Laplace and Poisson equations for the torsion problem. The Poisson equation is solved by the finite-element method with different orders of interpolation of the stress function. The solution to the Neumann problem is searched in the form of harmonic polynomials. The method of fundamental solutions is used to solve the Dirichlet problem for the Laplace equation. Numerical results for determining torsional stiffness are compared with available experimental data.


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