• 文献检索
  • 文档翻译
  • 深度研究
  • 学术资讯
  • Suppr Zotero 插件Zotero 插件
  • 邀请有礼
  • 套餐&价格
  • 历史记录
应用&插件
Suppr Zotero 插件Zotero 插件浏览器插件Mac 客户端Windows 客户端微信小程序
定价
高级版会员购买积分包购买API积分包
服务
文献检索文档翻译深度研究API 文档MCP 服务
关于我们
关于 Suppr公司介绍联系我们用户协议隐私条款
关注我们

Suppr 超能文献

核心技术专利：CN118964589B侵权必究
粤ICP备2023148730 号-1Suppr @ 2026

文献检索

告别复杂PubMed语法，用中文像聊天一样搜索，搜遍4000万医学文献。AI智能推荐，让科研检索更轻松。

立即免费搜索

文件翻译

保留排版，准确专业，支持PDF/Word/PPT等文件格式，支持 12+语言互译。

免费翻译文档

深度研究

AI帮你快速写综述，25分钟生成高质量综述，智能提取关键信息，辅助科研写作。

立即免费体验

具有离散和连续动态细观结构的弹性体中的波动。

Waves in elastic bodies with discrete and continuous dynamic microstructure.

机构信息

Department of Mathematics, IMPACS, Aberystwyth University, Aberystwyth SY23 3BZ, UK.

Department of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL, UK.

出版信息

Philos Trans A Math Phys Eng Sci. 2020 Jan 10;378(2162):20190313. doi: 10.1098/rsta.2019.0313. Epub 2019 Nov 25.

DOI:10.1098/rsta.2019.0313
PMID:31760902
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6894521/
Abstract

This paper presents a unified approach to the modelling of elastic solids with embedded dynamic microstructures. General dependences are derived based on Green's kernel formulations. Specifically, we consider systems consisting of a structure and continuously or discretely distributed oscillators. Several classes of connections between oscillators are studied. We examine how the microstructure affects the dispersion relations and determine the energy distribution between the master structure and microstructures, including the vibration shield phenomenon. Special attention is given to the comparative analysis of discrete and continuous distributions of the oscillators, and to the effects of non-locality and trapped vibrations. This article is part of the theme issue 'Modelling of dynamic phenomena and localization in structured media (part 2)'.

摘要

本文提出了一种统一的方法来对具有嵌入式动态微观结构的弹性固体进行建模。基于 Green 核公式推导出了一般的依赖关系。具体而言，我们考虑由结构和连续或离散分布的振荡器组成的系统。研究了振荡器之间的几种连接类型。我们研究了微观结构如何影响频散关系，并确定了主结构和微观结构之间的能量分布，包括振动屏蔽现象。特别关注对离散和连续分布的振荡器的比较分析，以及非局部性和被困振动的影响。本文是主题为“结构介质中动态现象和局域化建模（第 2 部分）”的一部分。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/b656d01fd714/rsta20190313-g17.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/6fbea95697e3/rsta20190313-g1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/9cccb195239a/rsta20190313-g2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/9c97df18fbd0/rsta20190313-g3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/ddb0b4da6226/rsta20190313-g4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/2d54e58e5d50/rsta20190313-g5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/4850f0231730/rsta20190313-g6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/fe6e8af3f39b/rsta20190313-g7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/d96cd410445c/rsta20190313-g8.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/827662b3665d/rsta20190313-g9.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/564fe9177f54/rsta20190313-g10.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/3596298996d5/rsta20190313-g11.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/c90fd688e312/rsta20190313-g12.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/6654364217e3/rsta20190313-g13.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/805595c35568/rsta20190313-g14.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/ebe4c2850389/rsta20190313-g15.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/7b9b6d8b2d16/rsta20190313-g16.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/b656d01fd714/rsta20190313-g17.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/6fbea95697e3/rsta20190313-g1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/9cccb195239a/rsta20190313-g2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/9c97df18fbd0/rsta20190313-g3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/ddb0b4da6226/rsta20190313-g4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/2d54e58e5d50/rsta20190313-g5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/4850f0231730/rsta20190313-g6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/fe6e8af3f39b/rsta20190313-g7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/d96cd410445c/rsta20190313-g8.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/827662b3665d/rsta20190313-g9.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/564fe9177f54/rsta20190313-g10.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/3596298996d5/rsta20190313-g11.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/c90fd688e312/rsta20190313-g12.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/6654364217e3/rsta20190313-g13.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/805595c35568/rsta20190313-g14.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/ebe4c2850389/rsta20190313-g15.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/7b9b6d8b2d16/rsta20190313-g16.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82af/6894521/b656d01fd714/rsta20190313-g17.jpg

相似文献

1
Waves in elastic bodies with discrete and continuous dynamic microstructure.具有离散和连续动态细观结构的弹性体中的波动。
Philos Trans A Math Phys Eng Sci. 2020 Jan 10;378(2162):20190313. doi: 10.1098/rsta.2019.0313. Epub 2019 Nov 25.
2
The Green's matrix and the boundary integral equations for analysis of time-harmonic dynamics of elastic helical springs.格林矩阵与边界积分方程在分析时谐弹性螺旋弹簧动力学中的应用。
J Acoust Soc Am. 2011 Mar;129(3):1315-23. doi: 10.1121/1.3543985.
3
Dynamic characterization of a periodic microstructured flexural system with rotational inertia.具有转动惯量的周期性微结构弯曲系统的动态特性
Philos Trans A Math Phys Eng Sci. 2019 Oct 21;377(2156):20190113. doi: 10.1098/rsta.2019.0113. Epub 2019 Sep 2.
4
Unified Green's function retrieval by cross-correlation; connection with energy principles.通过互相关进行统一格林函数检索；与能量原理的联系。
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Mar;75(3 Pt 2):036103. doi: 10.1103/PhysRevE.75.036103. Epub 2007 Mar 2.
5
Negative refraction and mode trapping of flexural-torsional waves in elastic lattices.弹性晶格中弯曲扭转波的负折射与模式捕获
Philos Trans A Math Phys Eng Sci. 2022 Nov 28;380(2237):20210379. doi: 10.1098/rsta.2021.0379. Epub 2022 Oct 10.
6
Calculations of band diagrams and low frequency dispersion relations of 2D periodic dielectric scatterers using broadband Green's function with low wavenumber extraction (BBGFL).使用具有低波数提取功能的宽带格林函数（BBGFL）对二维周期性介电散射体的能带图和低频色散关系进行计算。
Opt Express. 2016 Jan 25;24(2):945-65. doi: 10.1364/OE.24.000945.
7
Strongly anisotropic surface elasticity and antiplane surface waves.各向异性表面弹性和平面外表面波。
Philos Trans A Math Phys Eng Sci. 2020 Jan 10;378(2162):20190100. doi: 10.1098/rsta.2019.0100. Epub 2019 Nov 25.
8
A Green's function method for surface acoustic waves in functionally graded materials.功能梯度材料中表面声波的格林函数方法。
J Acoust Soc Am. 2007 Jun;121(6):3437-45. doi: 10.1121/1.2722049.
9
Investigation of Lamb elastic waves in anisotropic multilayered composites applying the Green's matrix.应用格林矩阵研究各向异性多层复合材料中的 Lamb 弹性波。
Ultrasonics. 2011 Jan;51(1):17-28. doi: 10.1016/j.ultras.2010.05.003. Epub 2010 Jun 4.
10
Green's function method for dynamic contact calculations.
Phys Rev E. 2021 May;103(5-1):053305. doi: 10.1103/PhysRevE.103.053305.

引用本文的文献

1
An overview of elastic waveguides with dynamic sub-structures.具有动态子结构的弹性波导概述。
Philos Trans A Math Phys Eng Sci. 2022 Nov 28;380(2237):20210381. doi: 10.1098/rsta.2021.0381. Epub 2022 Oct 10.

本文引用的文献

1
Dynamic interfacial trapping of flexural waves in structured plates.结构板中弯曲波的动态界面俘获
Proc Math Phys Eng Sci. 2016 Feb;472(2186):20150658. doi: 10.1098/rspa.2015.0658.
2
On the energy partition in oscillations and waves.关于振荡和波中的能量分配
Proc Math Phys Eng Sci. 2015 Mar 8;471(2175):20140838. doi: 10.1098/rspa.2014.0838.
3
Brittle fracture in a periodic structure with internal potential energy.具有内部势能的周期性结构中的脆性断裂。
Proc Math Phys Eng Sci. 2014 May 8;470(2165):20130821. doi: 10.1098/rspa.2013.0821.