Critical Length of a Column in View of Bifurcation Theory

M. Kopáčková

Abstract


The paper investigates nonlinear eigenvalue problem for a vertical homogeneous rod loaded with its own weight only. The critical length of the rod, for which the rod loses its stability, is found by use of bifurcation theory. Dependence of maximal deflections of the rods on their lengths is given.

Keywords


ritical length of column; eigenvalue problem; bifurcation theory; approximation of solution; Bessel function

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ISSN 1210-2709 (Print)
ISSN 1805-2363 (Online)
Published by the Czech Technical University in Prague