GEOMETRICALLY NONLINEAR FINITE ELEMENT ANALYSIS OF BEAMS, FRAMES, ARCHES AND AXISYMMETRIC SHELLS

Abstract The geometrically nonlinear analysis of elastic inplane oriented bodies, e.g. beams, frames and arches, is presented in a total Lagrangian co-ordinate system. By adopting a continuum approach, employing a paralinear isoparametric element, the formulation is applicable to structures consisting of straight or curved members. Displacements and rotations are unrestricted in magnitude. The nonlinear equilibrium equations are solved using the Newton-Raphson method for which a number of examples are given. The derivations are extended to include axisymmetric structures.

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