Auxetic vibration behaviours of periodic tetrahedral units with a shared edge

Autor:	Yoji Shibutani, Hiro Tanaka, S Asao
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Physics Multidisciplinary Modal analysis Science Mathematical analysis Linear elasticity periodic framework auxeticity zero stiffness mechanical metamaterial Slow motion Vibration Momentum Engineering Spring (device) Tetrahedron Mechanical metamaterial vibration Research Articles tetrahedron
Zdroj:	Royal Society Open Science, Vol 8, Iss 10 (2021) Royal Society Open Science
ISSN:	2054-5703
DOI:	10.1098/rsos.210768
Popis:	A very low-frequency mode supported within an auxetic structure is presented. We propose a constrained periodic framework with corner-to-corner and edge-to-edge sharing of tetrahedra and develop a kinematic model incorporating two types of linear springs to calculate the momentum term under infinitesimal transformations. The modal analysis shows that the microstructure with its two degrees of freedom has both low- and high-frequency modes under auxetic transformations. The low-frequency mode approaches zero frequency when the corresponding spring constant tends to zero. With regard to coupled eigenmodes, the stress–strain relationship of the uniaxial forced vibration covers a wide range. When excited, a very slow motion is clearly observed along with a structural expansion for almost zero values of the linear elastic modulus.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98a1d47e0ea4ed6e08a1912e50fe7545 https://royalsocietypublishing.org/doi/10.1098/rsos.210768 Zobrazit plný text záznamu