This paper is concerned with constructing families of Euler–Bernoulli beams which have exactly the same sequence of buckling loads of a given beam. The result is valid under the assumption of pinned–pinned, pinned–sliding and sliding–sliding end conditions. The analysis is based on a reduction of the buckling problem to an eigenvalue problem for a class of strings and on constructing isospectral strings via a Darboux lemma.

Families of beams with a given buckling spectrum

CALIO', Ivo Domenico;
2011-01-01

Abstract

This paper is concerned with constructing families of Euler–Bernoulli beams which have exactly the same sequence of buckling loads of a given beam. The result is valid under the assumption of pinned–pinned, pinned–sliding and sliding–sliding end conditions. The analysis is based on a reduction of the buckling problem to an eigenvalue problem for a class of strings and on constructing isospectral strings via a Darboux lemma.
2011
isobuckling beam
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/28630
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