Abstract
A two-degree-of-freedom nonlinear mechanical system describing a damped linear oscillator weakly coupled to a lightweight grounded bistable nonlinear energy sink is proposed to investigate the targeted energy transfer (TET) under asymmetric local nonlinear potentials. The bifurcations of equilibria are discussed to reflect the bistable and asymmetric characteristics of the system. Through projections of isoenergetic manifolds, the topological features of the Hamiltonian dynamics under 1 : 1 internal resonance have been investigated, which induces conditions for energy localization and exchange. In the general case, the topological features of the Hamiltonian dynamics related to the nonlinear normal modes (NNMs) are classified by the Poincar e ́ map, the relations between the NNMs and the Hamiltonian dynamics have been interpreted through the frequency energy plots. The results show that introducing the asymmetric characteristics may enhance the TET and realize the complete TET. • The structure of a grounded NES combines both the characteristics of bistability and asymmetry to trigger complete TET is practical in engineering. • The capability of the grounded bistable NES to absorb the energy from the LO is evaluated by the transformed variable under 1:1 internal resonance conditions. And the dynamical properties of NNMs and the mechanism of these dynamical properties are studied by the Poincare map and the frequency energy plots (FEPs) in detail. • The introduction of asymmetry can optimize TET, which makes it possible to completely transfer the input energy to the NES and enhance the vibration absorbing characteristic of the grounded bistable NES.
Published Version
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