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The three-dimensional beam theory : finite element formulation based on curvature
Zupan, Dejan (Author), Saje, Miran (Author)

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Abstract
article introduces a new finite element formulation of the three-dimensional `geometrically exact finite-strain beam theory'. The formulation employs the generalized virtual work principle with the pseudo-curvature vector as the only unknown function. The solution of the governing equations is obtained by using a combined Galerkin-collocation algorithm. The collocation ensures that the equilibrium and the constitutive internal force and moment vectors are equal at a set of chosen discrete points. In Newton's iteration special update procedures for the pseudo-curvature and rotational vectors have to be employed because of the non-linearity of the configuration space. The accuracy and the efficiency of the derived numerical algorithm are demonstrated by several examples. (C) 2003 Civil-Comp Ltd. and Elsevier Ltd. All rights reserved.

Language:English
Keywords:three-dimensional beams, three-dimensional rotations, curvature, finite element method
Tipology:1.01 - Original Scientific Article
Organization:FGG - Faculty of Civil and Geodetic Engineering
Year:2003
Publisher:Elsevier
Number of pages:str. 1875-1888
Numbering:Letn. 81, št. 18-19
UDC:624.072:519.63
ISSN on article:0045-7949
DOI:10.1016/S0045-7949(03)00208-6 Link is opened in a new window
COBISS.SI-ID:1964385 Link is opened in a new window
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Downloads:345
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Record is a part of a journal

Title:Computers & Structures
Shortened title:Comput. struct.
Publisher:Elsevier
ISSN:0045-7949
COBISS.SI-ID:4419338 This link opens in a new window

Secondary language

Language:English
Keywords:prostorski nosilci, rotacije, ukrivljenost, metoda končnih elementov

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