Summary
The critical load of the divergence instability, eigenfrequency curves and the Rayleigh's quotient for a column with one clamped end, subject to a generalized load, have been established in the paper. In particular, it has been found that the way the external force is being applied results in the linear dependence of both the shearing force and the bending moment upon both the deflection and the deflection angle of the loaded end. Such a case of loading exists e.g. for a column which supports a transversally stabilized structure when the contact surfaces are cylindrical. Furthermore, it has been theoretically and experimentally proven, that the slope of some eigencurves can change from positive to negative with the increasing load value.
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This research has been supported by the State Committee for Scientific Research, Warsaw, Poland, 1995.
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Tomski, L., Przybylski, J., Gołębiowska-Rozanow, M. et al. Vibration and stability of an elastic column subject to a generalized load. Arch. Appl. Mech. 67, 105–116 (1996). https://doi.org/10.1007/BF00787144
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DOI: https://doi.org/10.1007/BF00787144