Dynamic Analysis of a Two-Mass System with Essentially Nonlinear Vibration Damping

A nonlinear system with two degrees of freedom is considered. The system consists of an oscillator with relatively large mass, which approximates some continuous elastic system, and an oscillator with relatively small mass, which damps the vibrations of the elastic system. A modal analysis reveals a local stable mode that exists within a rather wide range of system parameters and favors vibration damping. In this mode, the vibration amplitudes of the elastic system and the damper are small and high, respectively__________Translated from Prikladnaya Mekhanika, Vol. 41, No. 1, pp. 102–111, January 2005.