Chiral Standing Spin Waves and Unidirectional Waves of Odd Elastic Cylindrical Shells

Author:

Lai Andi1,Zhou Jiawei1,Lim C. W.2

Affiliation:

1. Ministry of Education, (Changsha University of Science & Technology) Key Laboratory of Safety Control, of Bridge Engineering, , Changsha, Hunan 410114 , China

2. City University of Hong Kong Department of Architecture and Civil Engineering, , Kowloon, Hong Kong SAR 999077 , China

Abstract

Abstract Rotating waves can be observed in structures with periodic conditions, such as cylinders and spheres. Compared with traveling waves and standing waves, rotating waves have received less attention. In this paper, an odd elastic dynamic model of the cylindrical shells is established, and the dispersion relation, traveling waves, and standing waves are investigated. The non-Hermitian rotating waves and single-handedness chiral standing spin waves are reported, which are novel dynamic phenomenon caused by odd elastic effects. Waves generally cannot propagate in passive materials with vanishingly small elastic modulus. However, a unidirectional wave with the highest cut off frequency can occur in an odd elastic cylindrical shell with vanishingly small elastic modulus. For incompletely restrained end displacements, the odd elastic cylindrical shell can also generate a hybrid mode combining standing spin waves with unidirectional waves.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference58 articles.

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