The Influence of Support Characteristics on the Stability of an Elastic System Subjected to a Circulatory Force.
WATERVLIET ARSENAL N Y
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The stability of a vertical double pendulum with elastic joints, mounted on a platform whose horizontal motion is constrained by an elastic spring and subjected to circulatory force, is examined. Attention is focused on the determination of the critical loads of divergence and flutter as functions of the platform mass and spring stiffness parameters, which characterize the effects of the support on the stability of the double pendulum. The frequency equation is derived, and several typical eigencurves are plotted in the load-frequency plane. Stability maps in the load-tangency coefficient plane indicate the existence of regions of stability, divergence and flutter. Certain boundary curves of these regions are strongly dependent upon the values of the parameters that characterize the support.
- Numerical Mathematics