ON THE STABILITY OF DISSIPATIVE MECHANICAL SYSTEMS WITH CONSTRAINT DAMPING

The paper investigates the stability of a nonlinear dissipative mechanical system subjected to potential force, gyroscopic force, Rayleigh dampingand constraint damping, using direct Liapunov method. Assuming that the gyroscopic force depends on a parameter, two asymptotically stability theorems are obtained, and the lower bounds of the parameter are evaluated.