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A multiple-scale perturbation approach to mode coupling in periodic plates

机译:周期板中模式耦合的多尺度摄动方法

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摘要

In this paper, guided ultrasonic wave propagation is analyzed in an elastic plate with sinusoidal surface corrugations. The corrugated area acts as a finite-length grating which corresponds to a 1-D phononic crystal (PC). The multiple-scale perturbation technique is used to derive coupled-mode equations describing the amplitudes of interacting modes. These equations are solved exactly for the two-point boundary-value problem of the PC. The study involves the coupling of the incident symmetric Lamb wave S0 to the reflected antisymmetric Lamb wave A0. The influences of the depth of corrugation and length of the PC are studied. Theoretical results are compared with experimental measurements.
机译:在本文中,在具有正弦表面波纹的弹性板中分析了引导的超声波传播。波纹状区域用作与一维声子晶体(PC)对应的有限长度光栅。多尺度摄动技术用于导出描述相互作用模态振幅的耦合模态方程。对于PC的两点边值问题,可以精确地求解这些方程。研究涉及入射对称兰姆波S 0 与反射反对称兰姆波A 0 的耦合。研究了波纹深度和PC长度的影响。将理论结果与实验测量结果进行比较。

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