声学黑洞约束阻尼板半解析耦合建模与振动特性研究

Semi analytical coupling modeling and vibration characteristics of ABH plate with constrained damping layer

声学黑洞(ABH)以其优异的性能在结构减振降噪、声波调控、能量回收等领域展示了极其广阔的应用前景。但声学黑洞边缘截断会导致非零反射系数的存在,从而弱化声学黑洞效应。为此,本文在声学黑洞结构中引入约束阻尼材料,在Rayleigh-Ritz法框架下,选择高斯函数作为基函数,根据声学黑洞板的形状确定高斯基函数的分布,避免质量矩阵和刚度矩阵的奇异化,建立了声学黑洞约束阻尼板的半解析分析模型。通过与有限元分析结果对比,验证了半解析建模方法的正确性。研究了约束阻尼结构参数对声学黑洞板弯曲振动特性的影响规律,揭示了约束阻尼的减振机理和能量耗散作用。实验进一步验证了声学黑洞约束阻尼板的减振效果。

In recent years,acoustic black hole(ABH) has shown an extremely broad application prospect in the fields of structural vibration and noise suppression,acoustic wave control,energy recovery,etc,due to its excellent performance.However,the truncation of ABH edge will lead to the existence of non-zero reflection coefficient,thus weakening the acoustic black hole effect.In this paper,the constrained layer damping is introduced into ABH plates.Under the framework of Rayleigh Ritz method,Gaussian function is selected as the basis function,and the distribution of basis function is determined according to the shape of ABH plate to avoid the singularity of mass matrix and stiffness matrix.A semi analytical model of ABH plate with constrained layer damping is established.By comparing with the results of finite element analysis,the correctness of the semi analytical modeling method is verified.The influence of structural parameters of constrained layer damping on the bending vibration characteristics of ABH plate is studied,and the damping mechanism and energy dissipation of constrained layer damping are revealed.The experiment further verifies the damping effect of ABH plate with constrained layer damping.The research provides a design reference for the application of constrained layer damping in ABH structures.