Peter Češarek (Avtor), Miran Saje (Avtor), Dejan Zupan (Avtor)

Povzetek

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.

Ključne besede

deformacijske količine;konstantne deformacije;nelinearna teorija nosilcev;prostorski nosilci;prostorske rotacije;strain measure;constant strain;non-linear beam theory;three-dimensional beam;three-dimensional rotation;

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FGG - Fakulteta za gradbeništvo in geodezijo
Založnik: Elsevier
UDK: 531:624.072.2
COBISS: 5825121 Povezava se bo odprla v novem oknu
ISSN: 0020-7683
Št. ogledov: 2304
Št. prenosov: 856
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Sekundarni jezik: Angleški jezik
Sekundarne ključne besede: deformacijske količine;konstantne deformacije;nelinearna teorija nosilcev;prostorski nosilci;prostorske rotacije;
Vrsta datoteke: application/pdf
Vrsta dela (COBISS): Delo ni kategorizirano
Strani: str. 1802-1817
Letnik: ǂLetn. ǂ49
Zvezek: ǂšt. ǂ13
Čas izdaje: 2012
DOI: 10.1016/j.ijsolstr.2012.03.033
ID: 8312465