用细杆连接的双周期弹性波导中的阻波带

IF 1.2 4区物理与天体物理 Q4 ACOUSTICS

Acoustical Physics Pub Date : 2025-08-18 DOI:10.1134/S1063771024602619

S. A. Nazarov

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引用次数: 0

摘要

研究了一种周期各向同性均匀弹性波导，该波导由相同的质量体通过细水平杆连接，并通过垂直杆连接在刚性半空间上。利用棒的降维方法，分析了刚体位移与奇异场的相互作用，构造了周期单元模型问题中特征值随Floquet参数的渐近性。得到了光谱（通波带）长度和位置的渐近公式，揭示了开放的光谱间隙（阻波带）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Wave Stop Bands in a Double-Periodic Elastic Waveguide from Bodies Connected to Each Other by Thin Rods

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Wave Stop Bands in a Double-Periodic Elastic Waveguide from Bodies Connected to Each Other by Thin Rods

A periodic isotropic and homogeneous elastic waveguide composed of identical massive bodies connected to each other by thin horizontal rods and attached to a rigid half-space by vertical rods was studied. Using the dimension reduction procedure on the rods and analyzing the interaction between rigid displacements and singular fields in a body, the asymptotics of eigenvalues depending on the Floquet parameters was constructed in the model problem on a periodicity cell. As a result, asymptotic formulas were found for the lengths and positions of spectral (wave pass) bands, and open spectral gaps (wave stop bands) were revealed.

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来源期刊

Acoustical Physics 物理-声学

CiteScore

1.60

自引率

50.00%

发文量

审稿时长

3.5 months

期刊介绍： Acoustical Physics is an international peer reviewed journal published with the participation of the Russian Academy of Sciences. It covers theoretical and experimental aspects of basic and applied acoustics: classical problems of linear acoustics and wave theory; nonlinear acoustics; physical acoustics; ocean acoustics and hydroacoustics; atmospheric and aeroacoustics; acoustics of structurally inhomogeneous solids; geological acoustics; acoustical ecology, noise and vibration; chamber acoustics, musical acoustics; acoustic signals processing, computer simulations; acoustics of living systems, biomedical acoustics; physical principles of engineering acoustics. The journal publishes critical reviews, original articles, short communications, and letters to the editor. It covers theoretical and experimental aspects of basic and applied acoustics. The journal welcomes manuscripts from all countries in the English or Russian language.