The dynamic stability of an elastic column
Lyapunov's second method is used to investigate the stability of the rectilinear equilibrium modes of a nonlinearly elastic thin rod (column) compressed at its end. Stability here is implied relative to certain integral characteristics, of the type of norms in Sobolev spaces; the analysis is carried out for all values of the problem parameter except the bifurcation values.
scientific article; zbMATH DE number 56409