年間 6 号発行
ISSN 印刷: 1948-2590
ISSN オンライン: 1948-2604
NUMERICAL METHODS FOR DETERMINING TORSIONAL STIFFNESS OF PRISMATIC RODS
要約
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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Chedrik Vasily, Ishmuratov Fanil, Different fidelity computational models in aeroelastic design of aircraft and WT models, Transportation Research Procedia, 29, 2018. Crossref