THE STRUCTURAL INFLUENCE OF THE FORCES ON THE STABILITY OF DYNAMICAL SYSTEMS

In this paper consider the autonomous dynamical system linear or linearized with 2 degree of freedom. In the system of equation of 4th degree, appear the structure generalized forces: K(q) - the conservative forces, N(q)- the non-conservative forces, the dissipative forces D(q), G(q)the gyroscopically forces. In the linear system, these forces from the different structural combinations can produce the stability or the instability of the null solution. In this way are known the theorems of Thomson - Tait - Cetaev (T-T-C) for the configurations. We will introduce the non conservative forces, studying the stability with the Routh - Hurwitz criterion or construct the Liapunov function, obtaining some theorems with practical applications.