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基于组合厚度梁实现弯曲波异常透射

Abnormal transmission of flexural wave based on composite thickness beam

  • 摘要: 文章面向平面弯曲波提出具有组合厚度梁的非共振单相板,旨在实现一定频率范围内的透射波异常偏转、聚焦和贝塞尔波束功能。利用传递矩阵法计算组合厚度梁的透射系数和相移,通过有限元对组合厚度梁的理论计算进行验证。依据广义斯奈尔定律,构造具有相位梯度变化的新型超栅结构,用于实现对入射弯曲波的偏转、聚焦等功能。利用有限元进行了计算模拟,结果证明超栅在不同频率下具有多功能透射能力。文章提出了一种简单、紧凑和具有多功能透射能力的超栅,这为控制弯曲波的研究提供了一种新思路。

     

    Abstract: In this paper, a nonresonant single-phase plate with a combined thickness beam is proposed for planar flexural waves in order to achieve abnormal deflection, focusing, and Bessel beam functions of transmitted waves within a specific frequency. The transmission coefficients and phase shift of the composite thickness beam are calculated using the transfer matrix method, and the theoretical calculation is validated through finite element analysis. By constructing a novel metagrating with phase gradient variation based on the generalized Snell's Law, deflection and focusing of incident curved waves can be achieved. Finite element simulations demonstrate that the proposed metagrating exhibits multifunctional transmission capability at different frequencies. This paper presents a simple and compact metagrating with multifunctional transmission capability, providing new insights into the control of bending waves.

     

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