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<p>To address the lightweight design challenge of conventional nonlinear energy sinks (NES), this study proposes a rotational inertia damper-enhanced NES (RIDNES) capable of achieving superior vibration suppression performance with a relatively small mass ratio while avoiding the installation limitations of grounded inertial NES. The complexification-averaging method is employed to derive the analytical solution along with the frequency response function of the RIDNES-primary structure system. Bifurcation and chaotic responses are systematically analyzed, and the slow invariant manifold (SIM) characteristics and strongly modulated response (SMR) mechanism are revealed through the multiscale method. A preliminary parameter design strategy is proposed by correlating the saddle-node bifurcation condition with the frequency response curve to avoid the high detached response branches. The inclusion of linear stiffness and rotational inertia introduces more complex dynamic behaviors of RIDNES. A smaller linear stiffness or a larger inertia ratio tends to broaden the nonlinear stiffness range associated with chaotic responses and can further enhance the vibration mitigation performance of RIDNES under 1:1 resonance. The predicted lower critical load boundary of SMR agrees well with the numerical results, whereas the upper boundary is slightly underestimated. Comparative analyses demonstrate that RIDNES not only achieves excellent vibration reduction efficiency and a wider suppression bandwidth under a small mass ratio, but also avoids the installation limitations of grounded inertial NES. The proposed RIDNES offers a feasible lightweight design strategy and holds substantial potential for engineering applications.</p>

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Dynamic analysis and vibration suppression performance of a rotational inertia damper-enhanced nonlinear energy sink under harmonic excitation

  • 期刊论文

  • 发表日期：

    2026年4月14日

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  • Yangwen Chen,
  • Buyu Jia,
  • Xiaolin Yu,
  • Wentao Ou

摘要

To address the lightweight design challenge of conventional nonlinear energy sinks (NES), this study proposes a rotational inertia damper-enhanced NES (RIDNES) capable of achieving superior vibration suppression performance with a relatively small mass ratio while avoiding the installation limitations of grounded inertial NES. The complexification-averaging method is employed to derive the analytical solution along with the frequency response function of the RIDNES-primary structure system. Bifurcation and chaotic responses are systematically analyzed, and the slow invariant manifold (SIM) characteristics and strongly modulated response (SMR) mechanism are revealed through the multiscale method. A preliminary parameter design strategy is proposed by correlating the saddle-node bifurcation condition with the frequency response curve to avoid the high detached response branches. The inclusion of linear stiffness and rotational inertia introduces more complex dynamic behaviors of RIDNES. A smaller linear stiffness or a larger inertia ratio tends to broaden the nonlinear stiffness range associated with chaotic responses and can further enhance the vibration mitigation performance of RIDNES under 1:1 resonance. The predicted lower critical load boundary of SMR agrees well with the numerical results, whereas the upper boundary is slightly underestimated. Comparative analyses demonstrate that RIDNES not only achieves excellent vibration reduction efficiency and a wider suppression bandwidth under a small mass ratio, but also avoids the installation limitations of grounded inertial NES. The proposed RIDNES offers a feasible lightweight design strategy and holds substantial potential for engineering applications.