Some Features of Non-Conservative Stability Problems of Mechanical Systems

Using a three-link pendulum loaded by a tracking and potential force, the stability of the rectilinear equilibrium form of the system is thoroughly examined. Using the Routh-Hurwitz criterion, the conditions of static (divergence) and dynamic (flutter) types of loss of stability are formulated. It is shown that small and equal in value partial damping coefficients have virtually no effect on the position of the flutter boundary. Examples are given of the alternation of boundaries corresponding to different types of stability loss. Examples are also provided to illustrate the fact that in some cases with a monotonous increase in the tracking force, both the loss of stability and the stabilization of the equilibrium position are possible.

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