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<p>Inerter is a two–terminal inertia dynamic element and has made progress in the field of vibration control. In this research, a new nonlinear self–adaptive inerter (NSI) is proposed to obtain nonlinearity of inertance and adaptability of operating conditions. The designed nonlinear inerter is passive, with variable inertance adjusted by regulation springs. First, dynamic model of NSI is established. Basic principles, modelling considerations and process of dynamic modelling of the designed nonlinear inerter are explained. Then, design of NSI is described. Solid model and physical images of the designed nonlinear inerter are depicted. Then, experiments of the designed nonlinear inerter are performed in an established experimental system. Amplitude–frequency response of the experimental system obtained by numerical calculation is verified by simple harmonic input force experiments. Force–displacement loops of a linear and the designed nonlinear inerter are compared. It is concluded that: Dynamic model of the designed inerter is nonlinear and verified by experiments. Forward and backward jump phenomenon and multi–value phenomenon exist in amplitude–frequency response results. Inertance of the NSI increases with the increase of the amplitudes of the input forces. The experimental results indicate that NSI has nonlinearity and adaptability.</p>

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Model, design and experiments of a new nonlinear self–adaptive inerter

  • 期刊论文

  • 发表日期：

    2025年2月26日

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  • Yuehao Li,
  • Niaoqing Hu,
  • Zhengyang Yin,
  • Yi Yang,
  • Zhe Cheng,
  • Zuanbo Zhou,
  • Jiangtao Hu

摘要

Inerter is a two–terminal inertia dynamic element and has made progress in the field of vibration control. In this research, a new nonlinear self–adaptive inerter (NSI) is proposed to obtain nonlinearity of inertance and adaptability of operating conditions. The designed nonlinear inerter is passive, with variable inertance adjusted by regulation springs. First, dynamic model of NSI is established. Basic principles, modelling considerations and process of dynamic modelling of the designed nonlinear inerter are explained. Then, design of NSI is described. Solid model and physical images of the designed nonlinear inerter are depicted. Then, experiments of the designed nonlinear inerter are performed in an established experimental system. Amplitude–frequency response of the experimental system obtained by numerical calculation is verified by simple harmonic input force experiments. Force–displacement loops of a linear and the designed nonlinear inerter are compared. It is concluded that: Dynamic model of the designed inerter is nonlinear and verified by experiments. Forward and backward jump phenomenon and multi–value phenomenon exist in amplitude–frequency response results. Inertance of the NSI increases with the increase of the amplitudes of the input forces. The experimental results indicate that NSI has nonlinearity and adaptability.