含负泊松比超材料肋板的双层板声振特性分析

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (15) : 273-279.

论文

张兆龙1，朱翔1,2,3，李天匀1,2,3，付俊勇1

作者信息 +

Acoustic and vibration characteristics analysis of double-layer plates with negative Poisson’s ratio metamaterial ribs

ZHANG Zhaolong1, ZHU Xiang1,2,3, LI Tianyun1,2,3, FU Junyong1

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文章历史 +

摘要

构造内六角蜂窝胞元构成的负泊松比超材料，将其作为双层板间的连接结构，基于有限元法和边界元法，对含负泊松比超材料肋板的双层板结构开展了声振分析。分析了内六角蜂窝负泊松比胞元几何特征与力学性能，设计含负泊松比肋板的双层板对其振动进行求解，并分析了胞元填充阻尼对振动的影响，结果表明双层板下面板响应相比上面板有明显衰减。控制结构总质量不变，通过调整负泊松比肋板的宽度与厚度，实现胞元等效模量的变化，进而改变肋板刚度，进行振动和辐射噪声计算。结果表明与平板连接的双层板相比，含负泊松比肋板的双层板对振动能量有良好的吸收和衰减功能，能更好地降低面板的振动响应与辐射噪声；负泊松比肋板的板厚越小，层间结构的等效模量越低，振动与辐射声功率也越低。
关键词：负泊松比；双层板；结构阻尼；振动；辐射噪声

Abstract

Construct a negative Poisson's ratio metamaterial composed of hexagonal honeycomb cells and use it as a connection structure between double-layer plates. Based on the finite element method and the boundary element method, the sound and vibration analysis of the double-layer plate structure with negative Poisson's ratio metamaterial ribs is carried out. The geometric characteristics and mechanical properties of the negative Poisson’s ratio cell of the hexagonal honeycomb are analyzed, the double-layer plate with negative Poisson’s ratio ribs is designed and the vibration is solved, and the influence of the cell filling damping on the vibration is analyzed. The results show that the response of the lower panel of the double-layer board is significantly attenuated compared to the upper panel. The total mass of the control structure remains unchanged. By adjusting the width and thickness of the negative Poisson's ratio ribs, the equivalent modulus of the cell is changed, and then the rib stiffness is changed, and vibration and radiation noise calculations are performed. The results show that compared with the double-layer panel connected by the flat panel, the double-layer panel with negative Poisson's ratio ribs has a good absorption and attenuation function for vibration energy, and can better reduce the panel's vibration response and radiated noise; The smaller the thickness of the negative Poisson's ratio ribs, the lower the equivalent modulus of the interlayer structure, and the lower the vibration and radiated sound power.
Key words: negative Poisson's ratio; double-layer plate; structural damping; vibration; radiated noise

导出引用

张兆龙1，朱翔1,2,3，李天匀1,2,3，付俊勇1. 含负泊松比超材料肋板的双层板声振特性分析[J]. 振动与冲击, 2022, 41(15): 273-279

ZHANG Zhaolong1, ZHU Xiang1,2,3, LI Tianyun1,2,3, FU Junyong1. Acoustic and vibration characteristics analysis of double-layer plates with negative Poisson’s ratio metamaterial ribs[J]. Journal of Vibration and Shock, 2022, 41(15): 273-279

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