engleski

Shear flexible beam finite element analysis using Eulerian approach

In this paper a numerical stability analysis of shear deformable beam structures, based on the finite element method, is presented. Displacements and rotations are allowed to be large but strains are assumed to be small. Stability problems are approached by load-deflection manner, which attempts to solve a stability problem by predicting the structural behaviour through the entire range of loading, including pre-buckling as well as post-buckling phase Linear shape functions are used for the axial displacement, while cubic shape functions are employed for transverse displacements and angle of twist. The corresponding equilibrium equations are formulated in the framework of Eulerian description, using the virtual work principle. Numerical algorithm is verified trough test problems.

shear flexibility; beam element; Eulerian approach

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