Nonorthogonal solution for thin-walled members - A finite element formulation

Publication Type:
Journal Article
Canadian Journal of Civil Engineering, 2006, 33 (4), pp. 421 - 439
Issue Date:
Filename Description Size
Thumbnail2010003674OK.pdf313.21 kB
Adobe PDF
Full metadata record
Conventional solutions for the equations of equilibrium based on the well-known Vlasov thin-walled beam theory uncouple the equations by adopting orthogonal coordinate systems. Although this technique considerably simplifies the resulting field equations, it introduces several modelling complications and limitations. As a result, in the analysis of problems where eccentric supports or abrupt cross-sectional changes exist (in elements with rectangular holes, coped flanges, or longitudinal stiffened members, etc.), the Vlasov theory has been avoided in favour of a shell finite element that offer modelling flexibility at higher computational cost. In this paper, a general solution of the Vlasov thin-walled beam theory based on a nonorthogonal coordinate system is developed. The field equations are then exactly solved and the resulting displacement field expressions are used to formulate a finite element. Two additional finite elements are subsequently derived to cover the special cases where (a) the St. Venant torsional stiffness is negligible and (b) the warping torsional stiffness is negligible. © 2006 NRC Canada.
Please use this identifier to cite or link to this item: