MECHANICS

Numerical method of stable solution of S.-Venant problem of shaft torsion with arbitrary unity-connected domain section

V. V. Sobolev

Rostov-on-Don State Academy of Agriculture Machine-Building

Abstract: Stable numerical method of solving S.-Venant problem about torsion of shaft with arbitrary bounded unity-connected domain section with Jordan boundary was developed. This method is based on direct solution of the boundary problem for harmonic functions in non-classical discrete statement with regularization procedure. Testing of this method with employment of computer programs demonstrates its sufficiently high efficiency and precision.

Keywords: S.-Venant problem, shaft torsion, boundary problems, harmonic function, numerical method, regularization procedure, computer program.

UDC: 519.632:531.262


Accepted: November 18, 2009