Abstract
T he Paper represents a first step towards the development of a complete general statistical theory of imperfection-sensitivity in elastic post-buckling. A general conservative structural system described by n generalized coordinates, a loading parameter and an imperfection parameter is considered, and is assumed to exhibit either an asymmetric or an unstable-symmetric point of bifurcation. A general statistical distribution is introduced for the magnitude of the imperfection parameter, and asymptotic relationships are derived for the distribution of failure loads in the two points of bifurcation. The distinguishing features are observed, and the relative insensitivity of the results to the local form of the imperfection distribution is noted.
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