A Constrained Mechanical Metamaterial Towards Wave Polarization and Steering Control

Fuente: arXiv
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Main Authors: Zhao, Shiheng, Tian, Zhan, Chen, Jiaji, Jiang, Heng, Chang, Zheng, Huang, Guoliang
Format: Preprint
Published: 2024
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_version_ 1866913560964104192
author Zhao, Shiheng
Tian, Zhan
Chen, Jiaji
Jiang, Heng
Chang, Zheng
Huang, Guoliang
author_facet Zhao, Shiheng
Tian, Zhan
Chen, Jiaji
Jiang, Heng
Chang, Zheng
Huang, Guoliang
contents Precise control of the polarization and propagation direction of elastic waves is a fundamental challenge in elastodynamics. Achieving efficient mode conversion along arbitrary paths with conventional techniques has proven difficult. In this letter, we propose an innovative harmonimode mechanical metamaterial by integrating classical lattice architecture with a constrained mechanism. The constrained discrete mass-spring model is formulated and homogenized to reveal the unique harmonimode behavior, which supports single-mode polarized propagation and perfect impedance matching with the reference medium. Leveraging multi-scale simulations and the discrete transformation method, the metamaterial is designed to exhibit degenerated wave polarization and broadband mode conversion along various paths by simply adjusting constraint orientations. Finally, hinge joints are proposed for the physical realization of the metamaterial with sub-wavelength microstructures. Numerical simulations confirm its exceptional wave control performance over a broad frequency range. This work presents a comprehensive framework for designing harmonimode metamaterials capable of arbitrary polarization control.
format Preprint
id arxiv_https___arxiv_org_abs_2410_17627
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Constrained Mechanical Metamaterial Towards Wave Polarization and Steering Control
Zhao, Shiheng
Tian, Zhan
Chen, Jiaji
Jiang, Heng
Chang, Zheng
Huang, Guoliang
Applied Physics
Precise control of the polarization and propagation direction of elastic waves is a fundamental challenge in elastodynamics. Achieving efficient mode conversion along arbitrary paths with conventional techniques has proven difficult. In this letter, we propose an innovative harmonimode mechanical metamaterial by integrating classical lattice architecture with a constrained mechanism. The constrained discrete mass-spring model is formulated and homogenized to reveal the unique harmonimode behavior, which supports single-mode polarized propagation and perfect impedance matching with the reference medium. Leveraging multi-scale simulations and the discrete transformation method, the metamaterial is designed to exhibit degenerated wave polarization and broadband mode conversion along various paths by simply adjusting constraint orientations. Finally, hinge joints are proposed for the physical realization of the metamaterial with sub-wavelength microstructures. Numerical simulations confirm its exceptional wave control performance over a broad frequency range. This work presents a comprehensive framework for designing harmonimode metamaterials capable of arbitrary polarization control.
title A Constrained Mechanical Metamaterial Towards Wave Polarization and Steering Control
topic Applied Physics
url https://arxiv.org/abs/2410.17627