Critical Length of a Column in View of Bifurcation Theory

M. Kopáčková

doi:10.14311/180

Critical Length of a Column in View of Bifurcation Theory

Authors

M. Kopáčková

DOI:

https://doi.org/10.14311/180

Keywords:

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

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.