Naslov
A shear-flexible beam model for large displacement analysis of composite beam-type structures

Autori
Turkalj, Goran ; Lanc, Domagoj ; Banić, Damjan ; Brnić, Josip

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
MECHCOMP3: 3rd International Conference on Mechanics of Composites / Ferreira, Antonio J. M. ; Viola ; Erasmo ; Tornabene, Francesco ; Fantuzzi, Nicholas - Bolonja : Societa Editrice Esculapid, 2017, 18-19

ISBN
9788893850292

Skup
3rd International Conference on Mechanics of Composites

Mjesto i datum
Bologna, Italija, 04.07.2017. - 07.07.2017

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
beam, shear-flexibility, large displacements, finite elements

Sažetak
This work presents a beam model for large displacement analysis of composite beam-type structures composed of the straight and prismatic shear flexible composite thin-walled beam members. By applying the virtual work principle, the updated Lagrangian incremental formulation and the nonlinear displacement field of thin- walled cross-sections, the equilibrium equations of a straight beam element are firstly developed. Although displacements are allowed to be large, strains are assumed to stay small. External loads are static and conservative. A linear interpolation for the axial displacement and a cubic interpolation the deflections and angle of twist are employed, respectively. Internal moments are represented as the stress resultants calculated by the engineering theories. Due to the nonlinear displacement field, the incremental geometric potential of the semitangential moment is obtained for both the torsion and bending moments. The generalized displacement control method is employed as an incremental-iterative solution scheme. At the end of each iteration, the updating of nodal orientations is performed using the transformation rule which applies for semitangental incremental rotations. Force recovering is performed according to the conventional approach. Linear shape functions are used for the axial displacement, while cubic shape functions are employed for the transverse displacements and angle of twist. Also, using a non-linear displacement field for the cross- section that includes the large rotation effects, the geometric stiffness matrix for the spatial thin-walled beam finite element is derived, in which internal semitangential moments are obtained. Semi-rigid connections are allowed to occur at finite element nodes by modifying the stiffness matrices and nodal vectors of a conventional large-displacement beam element having rigid connections at the end nodes. Flexible connections are allowed to occur at finite element nodes. In order to include flexible connection characteristics into the numerical procedure, the data for load- deformation relationships of the given connection must be mathematically represented. The accuracy of the numerical algorithm is examined through several test problems.

Izvorni jezik
Engleski

Znanstvena područja
Brodogradnja, Građevinarstvo, Strojarstvo, Temeljne tehničke znanosti

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