Low-frequency multi-mode vibration suppression of a metastructure beam with two-stage high-static-low-dynamic stiffness oscillators

  • Qichen Wu
  • Gangting Huang
  • Chong Liu
  • Shilin XieEmail author
  • Minglong Xu
Original Paper


Metastructures with periodic local resonators are effective in attenuating waves in a special frequency range due to their band gap properties. A low-frequency multi-mode resonator based on a two-stage high-static-low-dynamic stiffness oscillator is proposed in this paper to create multiple low-frequency band gaps of flexural waves in a metastructure beam. The theoretical models of infinite and finite metastructure beams are established, respectively. The band structures obtained by the plane wave expansion method are thereafter verified by the mode superstition method. This demonstrates such metastructure features with multiple low-frequency band gaps. Multiple band gaps property is discussed, and a dynamic analysis of a simplified cell shows that locations of band gaps are determined by the natural frequencies of the resonator, which can be adjusted by configuring the physical parameters of the oscillators. The influence of mass ratio and damping on band gaps is numerically analysed, and the results show that mass ratio has an optimal value and damping can suppress the resonance effectively. Finally, a case study is performed, and the results show that the proposed metastructure has good performance in vibration suppression both around concerned multiple low-frequency modes and high-frequency range. The general design procedure of a metastructure beam is also summarized.



This work is supported by National Natural Science Foundation of China (Grant No. 11872290) and NSAF (Grant No. U1430129).


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Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2019

Authors and Affiliations

  • Qichen Wu
    • 1
    • 2
  • Gangting Huang
    • 1
    • 2
  • Chong Liu
    • 1
    • 2
  • Shilin Xie
    • 1
    • 2
    Email author
  • Minglong Xu
    • 1
    • 2
  1. 1.State Key Laboratory for Strength and Vibration of Mechanical StructuresXi’an Jiaotong UniversityXi’anChina
  2. 2.School of Aerospace EngineeringXi’an Jiaotong UniversityXi’anChina

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