An ultrawide-zero-frequency bandgap metamaterial with negative moment of inertia and stiffness
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 nega...
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Published in: | New journal of physics Vol. 23; no. 4; p. 43003 |
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01-04-2021
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Abstract | 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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AbstractList | 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. |
Author | Yang, Leiyu Wang, Lifeng |
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CitedBy_id | crossref_primary_10_1103_PhysRevApplied_21_044049 crossref_primary_10_3390_app14031028 crossref_primary_10_1088_1402_4896_aca93e crossref_primary_10_1016_j_matdes_2022_110921 crossref_primary_10_1007_s00707_021_03122_1 crossref_primary_10_1063_5_0155154 crossref_primary_10_1016_j_compstruct_2022_115586 crossref_primary_10_1063_5_0123475 crossref_primary_10_1016_j_eml_2023_101985 crossref_primary_10_1063_5_0155865 crossref_primary_10_1002_pssb_202200277 crossref_primary_10_1007_s00707_024_03913_2 crossref_primary_10_1016_j_apm_2023_01_022 crossref_primary_10_3390_sym14030529 crossref_primary_10_1007_s00419_022_02146_w crossref_primary_10_1016_j_ijmecsci_2024_108992 |
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SubjectTerms | coupled bandgap Energy gap Frequency ranges Inertia Metamaterials Moments of inertia negative effective moment of inertia negative effective stiffness Parameters Physics Stiffness ultrawide-zero-frequency bandgap Wave attenuation Wave propagation |
Title | An ultrawide-zero-frequency bandgap metamaterial with negative moment of inertia and stiffness |
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