Journal of Theoretical
and Applied Mechanics
42, 1, pp. 163-193, Warsaw 2004
and Applied Mechanics
42, 1, pp. 163-193, Warsaw 2004
Vibration and stability of a column subjected to the generalised load by a force directed towards the pole
A new loading of slender systems, which is a generalised load by a force directed towards the positive or negative pole, is presented in the paper. A new constructional scheme of the loading and receiving heads is introduced. Theoretical considerations connected with the formulation of boundary conditions are shown in this paper. Values of the critical force and the course of natural frequency in relation to the external load for given geometry and physical constants of the column are determined dependending on the constructional solution of the loading and receiving heads. The results of theoretical and experimental research are compared one with another.
Keywords: elastic column; divergence instability; natural frequency