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赵晓宇, 吴卫国, 林永水. 波导吸振器的低频减振设计和应用. 力学学报, 2023, 55(11): 2636-2646. DOI: 10.6052/0459-1879-23-146
引用本文: 赵晓宇, 吴卫国, 林永水. 波导吸振器的低频减振设计和应用. 力学学报, 2023, 55(11): 2636-2646. DOI: 10.6052/0459-1879-23-146
Zhao Xiaoyu, Wu Weiguo, Lin Yongshui. Low-frequency vibration reduction design and application of waveguide absorber. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(11): 2636-2646. DOI: 10.6052/0459-1879-23-146
Citation: Zhao Xiaoyu, Wu Weiguo, Lin Yongshui. Low-frequency vibration reduction design and application of waveguide absorber. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(11): 2636-2646. DOI: 10.6052/0459-1879-23-146

波导吸振器的低频减振设计和应用

LOW-FREQUENCY VIBRATION REDUCTION DESIGN AND APPLICATION OF WAVEGUIDE ABSORBER

  • 摘要: 基于螺旋声学黑洞的波导吸振器(waveguide absorber, WGA)是为解决声学黑洞尖端厚度过薄、截止频率较高等问题而提出的新构型, 目前其设计方法、耗能机理和减振应用效果有待进一步研究. 研究基于几何声学理论和欧拉−伯努利梁理论, 提出了WGA的设计方法, 构建了WGA材料参数和几何参数选取的理论模型, 通过数值仿真揭示了WGA设计参数对弯曲波波数虚部的影响规律, 阐明了几何参数对于截止频率的调控机制, 进一步从时域和频域的角度分析了WGA的弯曲波耗散机理. 开展加筋板减振实验研究对比验证了设计方法的可靠性和WGA的减振效果. 结果表明, 研究提出的设计方法可使WGA在更大尖端厚度的条件下获得更低的反射系数和截止频率, 在降低加工难度的条件下提高其减振效果和适用范围. 安装WGA后的加筋板在10 ~ 1000 Hz内加速度级降低可达26 dB, 减振效果显著优于等质量阻尼层. 新设计的WGA具有易安装、减振频带宽、低频减振效果好和对结构固有振动特性影响小等优点. 研究为WGA的设计及其在结构减振工程中的应用提供了指导.

     

    Abstract: The waveguide absorber (WGA) based on spiral acoustic black hole is a new configuration proposed to solve the problems of thin tip thickness and high cut-off frequency of acoustic black hole. The design method, energy dissipation mechanism and vibration reduction application effect of WGA need further research. Based on geometric acoustics theory and Euler-Bernoulli beam theory, this study proposes a design method for WGA, constructs a theoretical model for selecting material parameters and geometric parameters of WGA, reveals the influence law of WGA design parameters on the imaginary part of bending wave wave number by numerical simulation, clarifies the regulation mechanism of geometric parameters on the cut-off frequency, and further analyzes the bending wave dissipation mechanism of WGA from the time domain and frequency domain perspectives. The vibration reduction experiment of stiffened plate is carried out to verify the reliability of the design method and the vibration reduction effect of WGA. The results show that the design method proposed in this study can make WGA obtain lower reflection coefficient and cut-off frequency under the condition of larger tip thickness, improve its vibration reduction effect and application range under the condition of reducing processing difficulty. The acceleration level of the stiffened plate with WGA installed can be reduced by up to 26 dB in the range of 10 ~ 1000 Hz, and the vibration reduction effect is significantly better than that of the equal mass damping layer. The new design of WGA has the advantages of easy installation, wide vibration reduction band, good low-frequency vibration reduction effect and small influence on the inherent vibration characteristics of the structure. This study provides guidance for the design of WGA and its application in structural vibration reduction engineering.

     

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