Asymmetry in the closed elastic-systems

The finite dimensional model of the closed elastic rod with a circular configuration of its elastic axis is consider. The rod was modeled by means of system consisting of $n$ nonsymmetric rigid bodies connected by elastic spherical joints. The possibility of equilibrium existence of such system in rotating coordinate system is studied. Necessary stability conditions of the relative equilibrium of the considered regime are obtained. The case of four bodies is studied in details.