Abstract
A geometrically nonlinear finite element formulation based on a moving Eulerian coordinate system is used to predict the structural response of flexible planar frames. The total potential energy of the system is expressed in terms of the strain inducing displacements and parameters that reflect the coupling between axial (tension or compression) and bending effects. A conjugate gradient energy search procedure is employed to minimize directly the total potential energy of the structural system. The method includes the effects of prestressing and prescribing displacements in addition to abrupt changes in geometric configuration due to buckling of compression members and slackening of tension elements. Numerical examples illustrate and verify the accuracy of the technique presented.
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