Stability of forced torsional vibrations of an equipped rod / G. L. Brovko, S. A. Kuzichev. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. № 1. P. 0 [Moscow Univ. Mech. Bulletin. Vol. 72, N 2, 2017. P. 6-10].

An equipped elastic rod model demonstrating the one-dimensional Cosserat continuum properties under longitudinal and rotary motion is considered. Natural and forced-by-flow rotary oscillations are studied. Exact conditions of oscillatory stability and instability are obtained. The typical motion features are found: exactly two different forms and two different frequencies in each oscillation mode as well as the onset of a divergence mode with an increase of external load intensity.

Key words: Cosserat continuum, equipped rod, longitudinal-torsional motions, free and forced vibrations, stability, divergence.