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在由各向异性、粘弹性复合材料制成的夹层结构中传播的导波。

Guided waves propagating in sandwich structures made of anisotropic, viscoelastic, composite materials.

作者信息

Castaings Michel, Hosten Bernard

机构信息

Laboratoire de Mécanique Physique, Université Bordeaux 1, UMR CNRS 5469 351, Cours de la Libération, 33405 Talence Cedex, France.

出版信息

J Acoust Soc Am. 2003 May;113(5):2622-34. doi: 10.1121/1.1562913.

Abstract

The propagation of Lamb-like waves in sandwich plates made of anisotropic and viscoelastic material layers is studied. A semi-analytical model is described and used for predicting the dispersion curves (phase velocity, energy velocity, and complex wave-number) and the through-thickness distribution fields (displacement, stress, and energy flow). Guided modes propagating along a test-sandwich plate are shown to be quite different than classical Lamb modes, because this structure does not have the mirror symmetry, contrary to most of composite material plates. Moreover, the viscoelastic material properties imply complex roots of the dispersion equation to be found that lead to connections between some of the dispersion curves, meaning that some of the modes get coupled together. Gradual variation from zero to nominal values of the imaginary parts of the viscoelastic moduli shows that the mode coupling depends on the level of material viscoelasticity, except for one particular case where this phenomenon exists whether the medium is viscoelastic or not. The model is used to quantify the sensitivity of both the dispersion curves and the through-thickness mode shapes to the level of material viscoelasticity, and to physically explain the mode-coupling phenomenon. Finite element software is also used to confirm results obtained for the purely elastic structure. Finally, experiments are made using ultrasonic, air-coupled transducers for generating and detecting guided modes in the test-sandwich structure. The mode-coupling phenomenon is then confirmed, and the potential of the air-coupled system for developing single-sided, contactless, NDT applications of such structures is discussed.

摘要

研究了由各向异性和粘弹性材料层制成的夹层板中类兰姆波的传播。描述了一种半解析模型,并用于预测色散曲线(相速度、能量速度和复波数)以及厚度方向分布场(位移、应力和能量流)。结果表明,沿测试夹层板传播的导模与经典兰姆模有很大不同,因为这种结构不像大多数复合材料板那样具有镜像对称性。此外,粘弹性材料特性意味着色散方程的根为复数,这导致了一些色散曲线之间的联系,即一些模式耦合在一起。粘弹性模量虚部从零到标称值的逐渐变化表明,模式耦合取决于材料的粘弹性水平,但有一种特殊情况除外,在这种情况下,无论介质是否为粘弹性,都会出现这种现象。该模型用于量化色散曲线和厚度方向模态形状对材料粘弹性水平的敏感性,并从物理上解释模式耦合现象。还使用有限元软件来确认纯弹性结构的结果。最后,使用超声空气耦合换能器进行实验,以在测试夹层结构中产生和检测导模。然后确认了模式耦合现象,并讨论了空气耦合系统在开发此类结构的单面、非接触式无损检测应用方面的潜力。

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