Abstract

In the finite element force method the stresses are related to the external loads by the matrix equation of equilibrium. This equation allows the reduction of total number of variables since a stress field can be described in terms of independent (redundant) parameters. Such a selection is used in the elastic force method as well as in the limit analysis. An optimal choice of redundancies which corresponds to the best accuracy of a numerical procedure solving the underdeterminate system of equilibrium equations is sought. The results of a numerical comparison between the various techniques used for an automatic selection of redundancies are presented for a series of frame and truss problems.

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