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Multiple band gaps for efficient wave attenuation by inertial amplification in periodic functionally graded beams

机译：多频段间隙，用于通过周期性的功能分级梁的惯性放大有效波衰减

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摘要

With the purpose of obtaining complete stop bands which allow one isolate both longitudinal and transverse vibrations in functionally graded beams, this paper adopts the inertial amplification mechanisms via attaching them on the base beam whose material properties are described by the power-law function to study the nature of propagation and attenuation characteristics. The dynamic model of the inertial amplification mechanism is developed to capture inertial forces when the coupled axial-bending deformation is present in the base structure. By employing the principle of the virtual work and the Bloch theory, a discrete formulation is presented to exploit the complex band diagram. Numerical analyses show that multiple stop bands whose attenuation performances are comparable to that of resonance gaps can be obtained, demonstrating the efficiency on suppressing wave propagation over a wide frequency band, which is helpful to expand the range of engineering applications with functionally graded materials for vibration and sound reduction. Furthermore, the effects of the geometrical characteristics of attached substructure, power-law index and material damping are investigated.
机译：为了获得完整的停止带，其允许在功能渐变的光束中隔离一个隔离纵向和横向振动的目的，本文通过将它们附接到其材料特性描述的基础梁上，采用惯性放大机构来研究幂律函数来研究传播与衰减特性的性质。当耦合的轴向弯曲变形存在于基础结构时，开发了惯性放大机构的动态模型以捕获惯性力。通过采用虚拟工作和Bloch理论的原理，提出了一种离散的制定来利用复杂的带图。数值分析表明，可以获得衰减性能与谐振间隙相当的多个停止频段，证明抑制宽频带上的波传播的效率，这有助于扩展具有用于振动的功能分级材料的工程应用范围和声音减少。此外，研究了附着的子结构，电力法指标和材料阻尼的几何特征的影响。

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  • 来源
    《Composite Structures》 |2021年第9期|114130.1-114130.16|共16页
  • 作者

    Li Jingru; Yang Peng; Li Sheng;

  • 作者单位

    Hainan Univ Mech & Elect Engn Coll Haikou 570228 Hainan Peoples R China;

    Hainan Univ Mech & Elect Engn Coll Haikou 570228 Hainan Peoples R China|Huazhong Univ Sci & Technol Sch Naval Architecture & Ocean Engn Wuhan 430074 Peoples R China;

    Dalian Univ Technol Fac Vehicle Engn & Mech Sch Naval Architecture State Key Lab Struct Anal Ind Equipment Dalian 116024 Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Multiple stop bands; Inertial amplification; Functionally graded beam; Wave attenuation; Vibration isolation;

    机译：多个停止带;惯性放大;功能渐变光束;波衰减;振动隔离;

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