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Some estimates for a buckling problem

Einige Abschätzungen für ein Knickproblem

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Summary

On the basis of the exact non-linear equation describing the shape of an elastic column buckled under its own weight, estimates of maximum deflection are obtained. Also, a method to estimate lower bounds to the critical load is presented.

Zusammenfassung

Es werden auf der Basis der exakten, nichtlinearen Gleichung, welche die Gestalt einer elastischen, unter dem Eigengewicht knickenden Säule beschreibt, Abschätzungen der maximalen Ausbiegung erhalten. Es wird auch eine Methode zur Abschätzung unterer Schranken der kritischen Last vorgestellt.

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Atanackovic, T.M., Milisavljevic, B.M. Some estimates for a buckling problem. Acta Mechanica 41, 63–71 (1981). https://doi.org/10.1007/BF01246904

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