Dynamic analysis of 1-dof and 2-dof nonlinear energy sink with geometrically nonlinear damping and combined stiffness

Nonlinear energy sink (NES) refers to a typical passive vibration device connected linear or weakly nonlinear structures for absorption and mitigation. This study investigates the dynamics of 1-dof 2-dof NES with damping combined stiffness oscillator. For system NES, truncation failure frequency are revealed through bifurcation analysis using complex variable averaging method. The detuning interval existence strongly modulated response (SMR) is also reported. it reported in similar that mass distribution between affects maximum value saddle-node bifurcation. To obtain periodic solution consideration detuning, incremental harmonic balance method (IHB) Floquet theory employed. corresponding regime obtained by Poincare mapping, shows responses oscillator not always consistent, can generate extra SMR than NES. Finally, suppression effect proposed damping, analyzed verified spectrum, demonstrates better performance.