Abstract
The efficiency, accuracy and ease in use of linearized stability analyses for establishing the postbuckling response of rigid jointed frames is discussed using as a model a simple rectangular frame. This is accomplished by comparing a variety of results of the linearized stability analyses with those of the exact elastica analysis the governing equations of which appear for the first time in the technical literature; important conclusions on the accuracy and range of applicability of the foregoing linearized stability analyses are drawn. It is found that the completely linearized stability analysis, corresponding to a linear boundary-value problem, furnishes very reliable results which are quite near to those of the widely used non-linear kinematic stability analysis and much more accurate than those of the standard (incompressible) elastica; thus the former analysis, being the simplest possible postbuckling analysis, constitutes, for structural design purposes the most powerful method for determining the initial postbuckling response of frames.
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