Snap-Through Truss as a Vibration Absorber

In this paper we consider the possibility of elastic oscillation absorption using the snap-through truss. This truss was introduced by Mises in 1923. A single-degree-of-freedom linear oscillator is chosen as the most simple model of a continuous elastic system. The nonlinear absorber with three equilibrium positions (the snap-through truss) is attached to this oscillator. The dynamics of this system is studied by the nonlinear normal vibration mode approach. The construction and stability analysis of the localized and non-localized nonlinear normal modes are developed. If the localized mode is realized, the system energy is concentrated in the nonlinear absorber. This situation is the most appropriate to absorb vibrations.