Naslov
Formulation of Boundary Element Method for Saint-Venant's Torsion

Autori
Obsieger, Boris

Izvornik
Engineering Review (1330-9587) 18 (1998); 59-78

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Saint-Venant's torsion; warping; stress; stiffness; shaft; prismatic thin-wall beam; Laplace's differential equation; boundary element method

Sažetak
This paper presents a method for solving problems related to Saint-Venant's torsion. The evaluated method can primarily be used in analyses of stress and warping, but also for calculation of stiffness of any prismatic solid with uniform cross-section, such as shafts, prismatic thin-wall shells, etc. Warping is defined by a so-called warping (i.e. Saint-Venant's) function that satisfies Laplace's differential equation. By partial integration, Laplace's differential equation originates integral equations, whose solution is a warping function. Due to the difficulty of founding an exact solution of those integral equations, it is convenient to apply some numerical methods, such as so-called boundary element method. As soon as the warping function is determined, the analyses of stress, warping and stiffness require minor number of additional numerical operations

Izvorni jezik
Engleski

Znanstvena područja
Strojarstvo

POVEZANOST RADA