板状材料上加强筋的几何形状对兰姆波透射特性的影响
Effects of stiffeners on transmission of Lamb waves in palte-like structures
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摘要: 为研究板状材料上加强筋结构对兰姆波透射特性的影响,通过有限元仿真和实验的方法,结合兰姆波频散曲线和二维傅里叶变换分析方法,研究了不同几何形状的加强筋结构对兰姆波垂直入射时的透射特性。仿真与实验的结果表明:加强筋结构会对兰姆波产生梳状滤波器效应,即同一几何形状的加强筋对不同频率的兰姆波透射程度不同;梳状滤波器的通带带宽和通带个数受到加强筋几何形状的影响;随着加强筋高度的增加,梳状滤波器的通带带宽变小且通带个数增加;随着加强筋厚度的增加,梳状滤波器的通带带宽和个数并不呈现单调变化;对于同一高厚比的加强筋,随着加强筋体积的变大,梳状滤波器的通带宽变小且通带个数增加。该研究结果可用于指导利用兰姆波对具有加强筋结构的板状材料进行结构健康监测和无损检测时兰姆波有效频率的选择,从而提高兰姆波能量的利用率和信号的信噪比。Abstract: In order to study the transmission of Lamb waves at integral stiffeners in platelike structures, both Finite Element Modeling(FEM) simulations and experiments are conducted. Combined with dispersion curves of Lamb waves and two dimensional Fourier transform analysis, the effects of integral stiffeners with different geometries upon vertically incident Lamb waves are studied. Experiment and simulation results show that stiffeners act like comb filters upon Lamb waves of different frequency components. The passband widths and the number of passbands of comb filters are affected by the geometry of stiffeners:as the height of stiffener increases, the passband becomes narrower and the comb filter has more fluctuations;as the stiffener becomes wider, the number of passband changes not monotonically, which is more complex than the effect of stiffener height;in the case of the same aspect ratio of stiffener, the higher and wider the stiffener is, the more and narrower the passband is. Study results can provide specific guidance on the frequency band selections of Lamb waves in structural health monitoring and nondestructive evaluating application to increase the effective detection range and signal-to-noise ratio of Lamb waves.