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.File in questo prodotto:
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