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A shear-flexible beam model for large displacement analysis of composite beam-type structures (CROSBI ID 650225)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija

Turkalj, Goran ; Lanc, Domagoj ; Banić, Damjan ; Brnić, Josip A shear-flexible beam model for large displacement analysis of composite beam-type structures // MECHCOMP3: 3rd International Conference on Mechanics of Composites / Ferreira, Antonio J. M. ; Viola ; Erasmo et al. (ur.). Bolonja: Societa Editrice Esculapid, 2017. str. 18-19

Podaci o odgovornosti

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

engleski

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

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.

beam, shear-flexibility, large displacements, finite elements

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Podaci o prilogu

18-19.

2017.

nije evidentirano

objavljeno

9788893850292

Podaci o matičnoj publikaciji

MECHCOMP3: 3rd International Conference on Mechanics of Composites

Ferreira, Antonio J. M. ; Viola ; Erasmo ; Tornabene, Francesco ; Fantuzzi, Nicholas

Bolonja: Societa Editrice Esculapid

2421-2822

Podaci o skupu

3rd International Conference on Mechanics of Composites

predavanje

04.07.2017-07.07.2017

Bologna, Italija

Povezanost rada

Brodogradnja, Građevinarstvo, Strojarstvo, Temeljne tehničke znanosti