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Kinematically exact curved and twisted strain-based beam
Češarek, Peter (Avtor), Saje, Miran (Avtor), Zupan, Dejan (Avtor)

URLURL - Predstavitvena datoteka, za dostop obiščite http://drugg.fgg.uni-lj.si/3822/ Novo okno
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Izvleček
The paper presents a formulation of the geometrically exact three-dimensional beam theory where the shape functions of three-dimensional rotations are obtained from strains by the analytical solution of kinematic equations. In general it is very demanding to obtain rotations from known rotational strains. In the paper we limit our studies to the constant strain field along the element. The relation between the total three-dimensional rotations and the rotational strains is complicated even when a constant strain field is assumed. The analytical solution for the rotation matrix is for constant rotational strains expressed by the matrix exponential. Despite the analyticalrelationship between rotations and rotational strains, the governingequations of the beam are in general too demanding to be solved analytically. A finite-element strain-based formulation is presented in which numerical integration in governing equations and their variations is completely omitted and replaced by analytical integrals. Some interesting connections between quantities and non-linear expressions of the beam are revealed. These relations can also serve as useful guidelines in the development of new finite elements, especially in the choice of suitable shapefunctions.

Jezik:Angleški jezik
Ključne besede:strain measure, constant strain, non-linear beam theory, three-dimensional beam, three-dimensional rotation
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:FGG - Fakulteta za gradbeništvo in geodezijo
Leto izida:2012
Založnik:Elsevier
Št. strani:str. 1802-1817
Številčenje:Letn. 49, št. 13
UDK:531:624.072.2
ISSN pri članku:0020-7683
DOI:10.1016/j.ijsolstr.2012.03.033 Povezava se odpre v novem oknu
COBISS.SI-ID:5825121 Povezava se odpre v novem oknu
Število ogledov:323
Število prenosov:114
Metapodatki:XML RDF-CHPDL DC-XML DC-RDF
 
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Gradivo je del revije

Naslov:International journal of solids and structures
Skrajšan naslov:Int. j. solids struct.
Založnik:Pergamon Press
ISSN:0020-7683
COBISS.SI-ID:997903 Novo okno

Sekundarni jezik

Jezik:Angleški jezik
Ključne besede:deformacijske količine, konstantne deformacije, nelinearna teorija nosilcev, prostorski nosilci, prostorske rotacije

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