VIBRATION AND STABILITY OF AN ELASTIC COLUMN SUBJECT TO A GENERALIZEDLOAD

The critical load of the divergence instability, eigenfrequency curves and the Rayleigh's quotient for a column with one clamped end, subjec t to a generalized load, have been established in the paper. In partic ular, it has been found that the way the external force is being appli ed results in the linear dependence of both the shearing force and the bending moment upon both the deflection and the deflection angle of t he loaded end. Such a case of loading exists e.g. for a column which s upports a transversally stabilized structure when the contact surfaces are cylindrical. Furthermore, it has been theoretically and experimen tally proven, that the slope of some eigencurves can change from posit ive to negative with the increasing load value.