Abstract

The paper deals with the development of stability estimates for structures under time depending loads. The estimates are based on energy norms and can be used for the investigation of safety against loss stability by buckling. The static analysis is used to define a point on the load path with a certain critical strain energy. Starling from this state the presented procedure allows to deeide whether the structure slays for a certain load history within the critical bounds, which separate the motion around the prebuckling stale from the motion in a postbuckling region. For an arbitrary load history Galerkin’s procedure is applied using a representation of the deformations from static modal analysis. The stability is proved by comparing the load induced energy and a so-called critical strain energy.

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