VIBRATION AND STABILITY OF A CLAMPED-ELASTICALLY RESTRAINED TIMOSHENKO COLUMN UNDER NONCONSERVATIVE LOAD

The influence of shear deformation and rotatory inertia on the vibration and stability of a clamped-elastically restrained column subjected to a nonconservative force is studied in the present paper. The direction of an external force following the deflection of the column at its elastically restrained end is generally expressed in terms of the arbitrary angle dependent on the slope at the column end. In the analysis, the governing equations derived according to Hamilton's principle are used. The dependence of the eigenfrequency, and flutter and divergence loads on the slenderness ratio is numerically examined for various spring stiffnesses and follower force directions. It is shown that although the effect of shear deformation and rotatory inertia is almost to destabilize the system, there may be a case in which it is to stabilize the system in connection with the spring stiffness and follower force direction. Detailed discussion is also presented for the special case of a clamped-free column subjected to a fully tangential follower force in comparison with the other study.