ǂThe ǂlinearized three-dimensional beam theory of naturally curved and twisted beams

ǂthe ǂstrain vectors formulation

Dejan Zupan (Author), Miran Saje (Author)

Abstract

This paper presents the equations of the linearized geometrically exact three-dimensional beam theory of naturally curved and twisted beams. A new finite-element formulation for the linearized theory is proposed in which the strain vectors are the only unknown functions. The linear form of the consistency condition that the equilibrium and the constitutive internal force and moment vectors are equal, is enforced to be satisfied at chosen points. An arbitrary curved and twisted axis of the beam is taken into account which demands proper consideration of the non-linearity of spatial rotations. The accuracy and the efficiency of the derived numerical algorithm are demonstrated by comparing present numerical results with various analytical and numerical results. (c) 2005 Elsevier B.V. All rights reserved.

Keywords

linearna teorija nosilcev;ukrivljeni nosilci;zviti nosilci;konsistentna linearizacija;deformacijske količine;prostorski nosilci;prostorske rotacije;linear beam theory;naturally curved beam;twisted beam;consistent linearization;strain measure;three-dimensional beam;three-dimensional rotation;

Data

Language:	English
Year of publishing:	2006
Typology:	1.01 - Original Scientific Article
Organization:	UL FGG - Faculty of Civil and Geodetic Engineering
Publisher:	Elsevier
UDC:	624.072:519.61/.64
COBISS:	3169889
ISSN:	0045-7825
Views:	2630
Downloads:	583
Average score:	0 (0 votes)
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Other data

Secondary language:	English
Secondary keywords:	linearna teorija nosilcev;ukrivljeni nosilci;zviti nosilci;konsistentna linearizacija;deformacijske količine;prostorski nosilci;prostorske rotacije;
File type:	application/pdf
Type (COBISS):	Not categorized
Pages:	str. 4557-4578
Volume:	Letn. 195
Issue:	ǂšt. ǂ33-36
Chronology:	jul. 2006
DOI:	10.1016/j.cma.2005.10.002
ID:	8312359