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<p>In this paper, inertial amplification (IA) and local resonance (LR) mechanisms are incorporated into a pipe structure to develop a novel meta-pipe system, aiming at enhancing vibration reduction property across a broad frequency range. A coupled band-gap (BG) is formed when the IA and LR mechanisms are integrated within a meta-pipe unit. Based on the Euler–Bernoulli beam theory, the wave equation for the proposed meta-pipe is derived. The BG characteristics of the proposed meta-pipe are analyzed using the transfer matrix method. The excellent agreement between theoretical and experimental results confirms the validity of the proposed analytical approach for characterizing the meta-pipe. The coupling effects of IA and LR mechanisms are shown to broaden the original BG range. Moreover, the width and attenuation capacity of the coupled BGs increase with higher amplification mass <i>m</i><sub><i>a</i></sub>, amplification angle, unit cell length, LR mass <i>m</i><sub><i>b</i></sub> and length of LR rings <i>l</i><sub>1</sub>. These findings contribute to the development of advanced smart metamaterials and meta-structures designed for effective vibration mitigation.</p>

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Coupled Band-Gap Property of Meta-pipe with Inertial Amplification and Local Resonance Mechanisms

  • 期刊论文

  • 发表日期：

    2025年12月22日

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  • Muhammad Shoaib,
  • Jiping Jing,
  • Zhijing Wu,
  • Fengming Li,
  • Long Liu

摘要

In this paper, inertial amplification (IA) and local resonance (LR) mechanisms are incorporated into a pipe structure to develop a novel meta-pipe system, aiming at enhancing vibration reduction property across a broad frequency range. A coupled band-gap (BG) is formed when the IA and LR mechanisms are integrated within a meta-pipe unit. Based on the Euler–Bernoulli beam theory, the wave equation for the proposed meta-pipe is derived. The BG characteristics of the proposed meta-pipe are analyzed using the transfer matrix method. The excellent agreement between theoretical and experimental results confirms the validity of the proposed analytical approach for characterizing the meta-pipe. The coupling effects of IA and LR mechanisms are shown to broaden the original BG range. Moreover, the width and attenuation capacity of the coupled BGs increase with higher amplification mass ma, amplification angle, unit cell length, LR mass mb and length of LR rings l1. These findings contribute to the development of advanced smart metamaterials and meta-structures designed for effective vibration mitigation.