4.6 Article

An ultrawide-zero-frequency bandgap metamaterial with negative moment of inertia and stiffness

Journal

NEW JOURNAL OF PHYSICS
Volume 23, Issue 4, Pages -

Publisher

IOP Publishing Ltd
DOI: 10.1088/1367-2630/abef28

Keywords

metamaterials; negative effective moment of inertia; negative effective stiffness; coupled bandgap; ultrawide-zero-frequency bandgap

Funding

  1. National Science Fund for Distinguished Young Scholars [11925205]
  2. National Natural Science Foundation of China [11632003, 51921003]
  3. Research Project of State Key Laboratory of Mechanics and Control of Mechanical Structures (NUAA)

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Metamaterials with negative effective moment of inertia and negative effective stiffness can generate bandgaps in certain frequency ranges, leading to quick wave attenuation. They can achieve wide bandgaps and zero-frequency bandgaps in the low-frequency range, suitable for ultralow-frequency-vibration isolation.
Metamaterials have demonstrated great potential for controlling wave propagation since they are flexibly adjustable. A new one-dimensional metamaterial model with both a negative effective moment of inertia and negative effective stiffness is proposed. A negative effective moment of inertia and negative effective stiffness can be achieved by adjusting the structural parameters in certain frequency ranges. Bandgaps in the low-frequency range with exponential wave attenuation can be generated in the metamaterial. A flat band is obtained that couples two Bragg bandgaps to achieve a wide bandgap in the low-frequency range, where the effective moment of inertia and effective stiffness are both infinite. A zero-frequency bandgap can be achieved by adjusting the structural parameters. Quick attenuation of wave is observed in the zero-frequency ranges with single-negative parameters. Furthermore, an ultrawide-zero-frequency bandgap is obtained by optimizing the structural parameters of the system. In addition, it is easy to switch between the Bragg and locally resonant bandgaps. This new metamaterial can be applied to ultralow-frequency-vibration isolation.

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