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Lamb waves in highly attenuative plastic plates

机译:高衰减塑料板上的兰姆波

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摘要

The influence of material attenuation on Lamb wave dispersion behavior has been studied analytically. As the attenuation is increased, keeping the ratio of the bulk longitudinal to bulk shear wave attenuation constant at the value measured in high-density polyethylene, the degree of coupling between the shear and longitudinal partial waves decreases and the phase velocity dispersion curves for different modes of the same symmetry can cross; this is not possible for an elastic plate. With increasing attenuation, some modes become asymptotic to the bulk longitudinal velocity at thigh frequency, rather than to the bulk shear velocity. At high values of attenuation, there is minimal coupling between the longitudinal and shear partial waves and the behavior of the longitudinal modes is analogous to that of a "fluid plate." The predicted group velocities and attenuations of selected modes in a high-density polyethylene plate have been checked experimentally, and good agreement was obtained.
机译:分析了材料衰减对兰姆波色散行为的影响。随着衰减的增加,纵向波与纵向剪切波的衰减比保持恒定在高密度聚乙烯中测得的值,剪切波与纵向局部波之间的耦合度降低,并且不同模式的相速度频散曲线具有相同对称性的可以交叉;这对于弹性板是不可能的。随着衰减的增加,某些模式变得渐近于高频的整体纵向速度,而不是整体剪切速度。在高衰减值下,纵向和横波的分波之间的耦合最小,纵向模式的行为类似于“流体板”的行为。实验检验了高密度聚乙烯板的预测群速度和所选模式的衰减,并获得了良好的一致性。

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