Scholarlink

<b>Abstract</b>— <p>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.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

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

  • 期刊论文

  • 发表日期：

    2025年4月1日

查看全文
  • S. A. Nazarov

摘要

Abstract—

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.