Vibration and stability of an elastic column subject to a generalized load
The critical load for the divergence instability, eigenfrequency curves, and the Rayleigh's quotient are determined for a column with one clamped end, subject to a generalized load. In particular, it has been found that the way in which the external force can be applied results in the linear dependence of both the shearing force and the bending moment on both the deflection and the deflection angle of the loaded end. Furthermore, we show theoretically and experimentally that the slope of some eigencurves can change from positive to negative with the increasing load value.
scientific article; zbMATH DE number 1066910