arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2212.06960physics.app-ph
收藏

机械石墨烯中的零频角模态

Zero-frequency corner modes in mechanical graphene

Hasan B. Al Ba'ba'a

AI总结:

本文设计了一种带弹性基础的弹簧-质量蜂窝晶格(机械石墨烯),通过精细调制弹性基础刚度实现零频角模态,并证明其源于二原子链动力学,且对远离角部的缺陷具有鲁棒性。

摘要:

在无约束弹性体中,由于物体能够在不发生结构变形的情况下进行纯平移或旋转,出现零自然频率是可预期的结果。近期文献中的进展已超越这种传统定义,并展示了超越典型零频模态的特性,例如变形在结构边缘或角部的局部化。本文设计了一种带弹性基础的弹簧-质量蜂窝晶格,称为机械石墨烯,以展现零频角模态。所提出设计的核心要素是弹性基础,而零频角模态是通过对弹性基础刚度的精细调制来实现的。这些模态被证明源于由单条自由边界机械石墨烯构成的二原子链的动力学。考虑了具有自由边界的不同形状的有限机械石墨烯,并将导致角模态显现的条件与角的角度及支撑它们的弹簧刚度相关联。最后,简要讨论了缺陷对零频角模态的影响,展示了其对于远离角部的结构缺陷的鲁棒性。

英文摘要:

In an unconstrained elastic body, emergence of zero natural frequencies is an expectable outcome on account of the body's ability to purely translate or rotate with no structural deformation. Recent advances in literature have pushed such conventional definition and demonstrated properties transcending typical zero-frequency modes, such as localization of deformation at a structural edge or corner. In this paper, a spring-mass honeycomb lattice with an elastic foundation, referred to here as mechanical graphene, is designed to exhibit zero-frequency corner modes. A central element in the proposed design is the elastic foundation, and the zero-frequency corner modes are enabled by intricate modulation of the elastic-foundation's stiffness. These modes are proven to have their origins from the dynamics of a diatomic chain, made from a single strip of the mechanical graphene with free boundaries. Different shapes of finite mechanical graphene with free boundaries are considered and conditions leading to the manifestation of corner modes are correlated with the angle of corners and stiffness of springs supporting them. Finally, the effect of defects on zero-frequency corner modes is briefly discussed, demonstrating robustness against structural defects that are distant from corners.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑