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用于多稳态超材料元件的屈曲与单侧约束

Buckling versus unilateral constraint for a multistable metamaterial element.

作者信息

Hima N, Bigoni D, Dal Corso F

机构信息

DICAM, University of Trento, via Mesiano 77, Trento 38123, Italy.

FIP MEC srl, via Scapacchiò 41, Selvazzano Dentro PD 35030, Italy.

出版信息

Philos Trans A Math Phys Eng Sci. 2022 Sep 5;380(2231):20220021. doi: 10.1098/rsta.2022.0021. Epub 2022 Jul 18.

DOI:10.1098/rsta.2022.0021
PMID:35858080
Abstract

A structural element is designed and investigated, forming the basis for the development of an elastic multistable metamaterial. The leitmotif of the structural design is the implementation of a strut characterized by a bifurcation occurring at either vanishing tensile or compressive load. It is shown that buckling at null load leads to a mechanical equivalence with a unilateral constraint formulation, introducing shocks in dynamics. Towards a future analysis of the latter, the nonlinear quasi-static response is investigated, showing the multistable character of the structure, which may appear as bistable or tetrastable. This article is part of the theme issue 'Wave generation and transmission in multi-scale complex media and structured metamaterials (part 1)'.

摘要

设计并研究了一种结构元件,它构成了弹性多稳态超材料发展的基础。结构设计的主旨是实现一种支柱,其特征在于在拉伸或压缩载荷消失时会出现分岔。结果表明,零载荷下的屈曲会导致与单边约束公式的力学等效,从而在动力学中引入冲击。为了对后者进行未来分析,研究了非线性准静态响应,显示了结构的多稳态特性,它可能表现为双稳态或四稳态。本文是主题为“多尺度复杂介质和结构化超材料中的波产生与传播(第1部分)”的一部分。

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