Abstract
The lowest critical load λ 1 cr of a perfect system is expanded in a power series in ϵ 1/m where m is a positive integer and ϵ the imperfection parameter. Coefficients of this series are all functions of the critical load λ of the imperfect system. For any given value of λ the corresponding imperfection parameter ϵ can then be found. The procedure may also be used to find the buckling load of a perfect or imperfect system having a non-linear pre- buckling basic path without actually tracing out this basic path. The analysis is based on a perturbation approach and uses a diagonalized system of discrete co-ordinates. As an example, the buckling load of an initially defected column with a non-linear elastic middle support was calculated.
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