期刊
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
卷 109, 期 -, 页码 152-165出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2017.01.017
关键词
Rayleigh beam; Rotational inertia; Dispersive waves; Metamaterial
类别
资金
- European Union's Seventh Framework Programme FP7 under REA grant [PCIG13-GA-2013-618375-MeMic]
- University of Liverpool through the European Union's Grant [PIAPP-GA-284544-PARM-2]
- European Union's Grant [ERC-2013-ADG-340561-INSTABILITIES]
- UK EPSRC Program Grant [EP/L024926/1]
- University of Trento
- EPSRC [EP/L024926/1] Funding Source: UKRI
The paper presents a novel analysis of Floquet-Bloch flexural waves in a periodic lattice-like structure consisting of flexural beam ligaments. A special feature of this structure is in the presence of the rotational inertia, which is commonly neglected in conventional models of the Euler-Bernoulli type. The dispersion properties of the Rayleigh beam structure with rotational inertia include degeneracies linked to Dirac cones on the dispersion diagrams as well as directional anisotropy and special refraction properties. Steering of Dirac cones is described for rectangular flexural structures with a rotational inertia. Numerical examples for a forced network of Rayleigh and Euler-Bernoulli beams illustrate directional localisation, negative refraction, localisation at an interface and neutrality for propagating plane waves across a structured interface for a frequency range corresponding to a Dirac cone. (C) 2017 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据