Study on Sound Insulation Characteristics of Thin Plate Acoustic Metamaterials With Flexoelectric Effects

YANG Shasha; PENG Cong; MENG Han; SHEN Cheng

doi:10.21656/1000-0887.450115

Volume 45 Issue 8

Aug. 2024

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Article Navigation > Applied Mathematics and Mechanics > 2024 > 45(8): 1070-1081

YANG Shasha, PENG Cong, MENG Han, SHEN Cheng. Study on Sound Insulation Characteristics of Thin Plate Acoustic Metamaterials With Flexoelectric Effects[J]. Applied Mathematics and Mechanics, 2024, 45(8): 1070-1081. doi: 10.21656/1000-0887.450115

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Study on Sound Insulation Characteristics of Thin Plate Acoustic Metamaterials With Flexoelectric Effects

doi: 10.21656/1000-0887.450115

YANG Shasha^1,2,3,
PENG Cong^2,4,
MENG Han^2,4,
SHEN Cheng^{2,4
,
,}

1. School of Mechanical Engineering, Nanjing Vocational University of Industry Technology, Nanjing 210023, P.R.China;
2. State Key Laboratory of Mechanics and Control for Aerospace Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P.R.China;
3. Jiangsu Province Precision Manufacturing Engineering and Technology Research Center, Nanjing 210023, P.R.China;
4. MIIT Key Laboratory of Multifunctional Lightweight Materials and Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P.R.China

Funds:

The National Science Foundation of China(12202183)

Received Date: 2024-04-25
Rev Recd Date: 2024-06-05

Available Online: 2024-09-06

Abstract

Abstract

When the structure size is reduced to the micro- and nano-scale, a new mechanoelectric coupling effect, the flexoelectric effect, cannot be ignored. The governing equations and boundary conditions for the sound insulation problem of thin plate acoustic metamaterial structure with the flexoelectric effects were derived by means of the variational principle. The sound insulation curves of thin plate mass blocks were predicted based on the Kirchhoff theory. The effects of flexural effects, geometric sizes and mass densities on the sound insulation performances of the structure were systematically discussed. The results show that, for the micro- and nano-scale structure sizes, the flexoelectric effect significantly increases the sound insulation valley values and peak frequencies of the sound insulation curves, so it is necessary to consider the flexoelectric effects. This work provides a theoretical basis for the research of noise control in MEMS.
- flexoelectric effect,
- thin plate metamaterial,
- sound insulation characteristic

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References(16)

References

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