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与分路压电贴片的周期性亚波长阵列弹性连接的超材料蜂窝芯夹层板的声传输损失

Sound Transmission Loss of Metamaterial Honeycomb Core Sandwich Plate Elastically Connected with Periodic Subwavelength Arrays of Shunted Piezoelectric Patches.

作者信息

Yang Gongzhuo, Huang Qibai, Yang Mingquan, Huang Yizhe

机构信息

State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan 430074, China.

School of Mechanical Engineering, Hubei University of Technology, Wuhan 430068, China.

出版信息

Materials (Basel). 2022 May 31;15(11):3923. doi: 10.3390/ma15113923.

Abstract

Honeycomb core sandwich plates are widely used as a lightweight, high-strength sound insulation material. However, they do not perform well in specific frequency bands. Acoustic metamaterials can break the law of mass in specific frequency bands and have high sound transmission loss (STL); however, the resonance frequency is difficult to regulate. To solve this problem, this paper first proposes an infinitely large metamaterial honeycomb core sandwich plate, which can generate newly tuned piezoelectric resonance frequencies, and we study its STL. The structure has piezoelectric patches arranged in sub-wavelength arrays with inductance shunting circuits that are elastically connected to both sides of the honeycomb core sandwich plate. The effective dynamic mass density and effective dynamic bending stiffness of the metamaterial plates were obtained using the effective medium (EM) method. A theoretical model for the numerical calculation of oblique STL and diffuse-field STL was established by the structural bending wave method. The finite element simulation method was used to verify that the metamaterial plates can generate three peaks at 1147 Hz, 1481 Hz and 1849 Hz in oblique or diffuse-field STL curves, which reached 57 dB, 86 dB and 63 dB, respectively, and are significantly better than the plate rigidly connected with piezoelectric sheets and the bare plate with the same mass. In order to better understand the characteristics of STL, the explicit functions of the resonance frequencies were derived. Key influencing factors were analyzed, and the regulation law of new piezoelectric resonance frequencies was clarified.

摘要

蜂窝芯夹层板作为一种轻质、高强度的隔音材料被广泛应用。然而,它们在特定频段的性能不佳。声学超材料可以在特定频段打破质量定律并具有高声传输损耗(STL);然而,共振频率难以调节。为了解决这个问题,本文首先提出了一种无限大的超材料蜂窝芯夹层板,它可以产生新调谐的压电极共振频率,并研究其STL。该结构具有以亚波长阵列排列的压电贴片,带有电感分流电路,这些电路弹性连接到蜂窝芯夹层板的两侧。使用有效介质(EM)方法获得了超材料板的有效动态质量密度和有效动态弯曲刚度。通过结构弯曲波方法建立了斜向STL和扩散场STL数值计算的理论模型。采用有限元模拟方法验证了超材料板在斜向或扩散场STL曲线中可在1147Hz、1481Hz和1849Hz处产生三个峰值,分别达到57dB、86dB和63dB,明显优于与压电片刚性连接的板和相同质量的裸板。为了更好地理解STL的特性,推导了共振频率的显式函数。分析了关键影响因素,阐明了新的压电极共振频率的调节规律。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6249/9182446/2e466311e1f4/materials-15-03923-g001.jpg

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