A hybrid-Trefftz element containing an elliptic hole
Finite Elements in Analysis and Design
Analysis of moving loads using force-based finite elements
Finite Elements in Analysis and Design
A multivariable wavelet-based finite element method and its application to thick plates
Finite Elements in Analysis and Design
Finite Elements in Analysis and Design
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A consistent flexibility matrix is presented for a large displacement equilibrium-based Timoshenko beam-column element. This development is an improvement and extension to Neuenhofer-Filippou [1] (1998. ASCE J. Struct. Eng. 124, 704-711) for geometrically nonlinear Euler-Bernoulli force-based beam element. In order to find weak form compatibility and strong form equilibrium equations of the beam, the Hellinger-Reissner potential is expressed. During the formulation process, an extended displacement interpolation technique named curvature/shearing based displacement interpolation (CSBDI) is proposed for the strain-displacement relationship. Finally, the extended CSBDI technique is validated for geometric nonlinear examples and accuracy of the method is investigated concluding improved convergence rates with respect to the general finite element formulation. Also it is seen that the use of force based formulation removes shear locking effects. The results demonstrate considerable accuracy even in presence of high axial loading in comparison with the displacement based approach.