Published: 30 June 2007

Dynamic stability of a flexible rod under parametric excitation

A. M. Gouskov1
E. V. Myalo2
G. Y. Panovko3
V. G. Tretyakova4
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A homogeneous rod with a constant cross section, vertically mounted and cantilevered, is considered. At the unstrained state, the rod’s axis is straight. It is supposed lateral stiffness is that the rod buckles in static conditions only under gravity and its axis bends. Flexural oscillations of the rod when its base vibrates vertically are investigated. Stabilization circumstances of the rod axis rectilinearity depending on excitation parameters, internal and external damping, and rod flexibility are determined.

About this article

23 April 2007
15 June 2007
30 June 2007
flexible rod
parametric excitation
parametric resonance
dynamical stability