Abstract:
A proposed version of the finite element method can find large displacements of a plane linearelastic
structure with given nodal loads, and conversely, nodal loads at the given displacements. A calculation
model includes geometrical, static and physical relations (Hooke's law). The calculation showed
that several different deformed positions of the structure may correspond to the same loads. To verify
the proposed model, the pure bending of a beam was calculated with large displacements taken into account.
Analysis of the results showed the adequacy of the proposed model. At that the results differ
markedly from the ANSYS solution.
Keywords:geometric nonlinearity, large displacements, finite deformations, pure bending, plane stress-strain state.
Fulltext:
PDF file (488 kB)