One of the most popular method of vibrating systems analysis is dynamical flexibility method. This method makes possible the assignment of stability bands. The thesis is applied to the free-free damped beam systems analysis. The beam is loaded by transversal unitary force in accordance with a dynamical flexibility definition. In a mathematical model Coriolis forces, centrifugal forces and damping forces were took into the consideration. The damping forces enable active vibration control and can change dynamical characteristics of the system.