[en] The paper is focused on the stabilization problem for the following system of differential equations ∂²(t) = v, t ≥ 0, (∂²ω_i(x,t))/∂t² + c² (∂⁴ω_i(x,t))/∂x⁴ = ∂²(t)ω_i(x,t) - (x+d)v, x is an element of [0,l], i = 1,2,...,k, where v is an element of R is the control parameter. The above system describes a rotating rigid body endowed with a number of elastic beams. To solve the stabilization problem, we prove a sufficient condition for partial strong asymptotic stability which is valid for general nonlinear dynamical systems in a Banach space. This result is applied to deriving a feedback control explicitly. In addition, we prove strong (non-asymptotic) stability in the sense of Lyapunov as well as precompacness of the trajectories for the corresponding nonlinear semigroup. Some simulation results are given in conclusion. (author)