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Abstract

A dynamics of stability and bifurcation analysis of an asymmetrically nonlinear absorber system that contains a main part and a nonlinear spring is proposed. For this study, the analytical works on this nonlinear vibration absorber were performed by the harmonic balance method and the Floquet theory. Dynamic phenomena due to changing of periodic excitation are analyzed. The investigation fulfils that the bifurcation sequences illustrate completely the complex phenomena of system dynamics. Furthermore, this study show that the primary bifurcation orbit coexist with orbit of the secondary responses via a saddle-node bifurcation in a specific period excitation range. The results demonstrate that the new phenomena occur in the strongly nonlinear system.

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