Assessment on vibration nonlinearity of Duffing-type sliding systems

Taking the superposition principle as a criterion and calculating dynamic response of Duffing-type sliding systems to double-frequency harmonic excitations, the vibration nonlinearity of systems and their influence factors are analyzed. The results show that there is an interaction mechanism between nonlinearities of restoring force and damping; the increase in friction damping under given conditions may restrain the revealment of the nonlinearity of restoring force; the nonlinearity of the whole system vibration is not the simple accumulation of the above two nonlinear effects; the influence of external excitations is reflected with their amplitude and frequency; if the intensities of the double-frequency harmonic excitations are both increasing, the vibration nonlinearity of the whole system may be stimulated.