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<p>Nonlinear energy sinks containing dry friction damping (DNES) hold significant potential in vibration control. To unveil DNES’s underlying mechanism and explore the vibration reduction effect, this study couples DNES with a typical Duffing system having quintic nonlinear stiffness under periodic excitations. Initially, the coupled DNES system’s dynamic model is formulated based on Newton’s laws. Subsequently, the system’s bifurcation behavior is examined using bifurcation theory and fast-slow analysis. Numerical simulations determine equilibrium points, thus clarifying the vibration reduction mechanism. Upon coupling DNES, the system experiences a Fold bifurcation marked by a rapid transition, where the motion trajectory is transformed from a large amplitude and high frequency vibration to a bursting oscillation of spiking state and quiescent state. This phenomenon occurs because the unstable equilibrium point stabilizes after DNES coupling, enhancing its attraction to the motion trajectory. Moreover, observations show that DNES vibration has a smaller amplitude than NES vibration, improving the vibration reduction effect’s stability. DNES exhibits a favorable vibration reduction effect, maintaining it even when the external excitation intensity increases.</p>

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Study on vibration reduction mechanism of nonlinear energy sink containing dry friction damping

  • 期刊论文

  • 发表日期：

    2026年7月20日

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  • Chenyang Zhang,
  • Xianghong Li,
  • Yongjun Shen

摘要

Nonlinear energy sinks containing dry friction damping (DNES) hold significant potential in vibration control. To unveil DNES’s underlying mechanism and explore the vibration reduction effect, this study couples DNES with a typical Duffing system having quintic nonlinear stiffness under periodic excitations. Initially, the coupled DNES system’s dynamic model is formulated based on Newton’s laws. Subsequently, the system’s bifurcation behavior is examined using bifurcation theory and fast-slow analysis. Numerical simulations determine equilibrium points, thus clarifying the vibration reduction mechanism. Upon coupling DNES, the system experiences a Fold bifurcation marked by a rapid transition, where the motion trajectory is transformed from a large amplitude and high frequency vibration to a bursting oscillation of spiking state and quiescent state. This phenomenon occurs because the unstable equilibrium point stabilizes after DNES coupling, enhancing its attraction to the motion trajectory. Moreover, observations show that DNES vibration has a smaller amplitude than NES vibration, improving the vibration reduction effect’s stability. DNES exhibits a favorable vibration reduction effect, maintaining it even when the external excitation intensity increases.