Frequency–energy plot and targeted energy transfer analysis of coupled bistable nonlinear energy sink with linear oscillator

The nonlinear energy sink (NES), which is proven to perform rapid and passive targeted transfer (TET), has been employed for vibration mitigation in many primary small- large-scale structures. Recently, the feature of bistability, two nontrivial stable equilibria one trivial unstable equilibrium exist, utilized TET what known as bistable NES (BNES). BNES generates a force that incorporates negative linear multiple positive or stiffness components. In this paper, coupled oscillator (LO) where dynamic behavior resulting LO-BNES system studied through frequency–energy plots (FEPs), are generated by analytical approximation using complexification-averaging method numerical continuation techniques. effect length transverse coupling springs found affect stability topology branches indicates importance exact physical realization system. rich dynamical also highlighted appearance symmetrical unsymmetrical in- out-of-phase backbone branches, especially at low levels. superimposed wavelet frequency spectrums response on FEP have verified robustness mechanism role NNM backbones clearly observed.