Flexural wave propagation in rigid elastic combined metabeam

IF 1.9 4区工程技术 Q2 ACOUSTICS Journal of Vibration and Acoustics-Transactions of the Asme Pub Date : 2022-08-04 DOI:10.1115/1.4055174

Abhigna Bhatt, A. Banerjee

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引用次数: 4

Abstract

In this paper, flexural wave propagation, attenuation and reflection through finite number of rigid elastic combined meta-beam (RECM) elements sandwiched between two Euler Bernoulli beams has been studied, implementing the spectral element, inverse Fourier transform and transfer matrix method. Spectral element has been formulated for the unit representative cell of RECM employing the rigid-body dynamics. Governing dimensionless parameters are identified. Further, the sensitivity analysis has been carried out to comprehend the influence of non-dimensional parameters such as mass ratio, length ratio, and rotary inertia ratio on the attenuation profile. Rotary inertia of rigid body produces Local resonance(LR) band, which may abridge the gap between the two Bragg Scattering(BS) bands and results in an ultra-wide stop-band for the specific combination of governing non-dimensional parameters. 164% normalized attenuation band is possible to obtain in RECM. Natural frequencies for the finite RECM have also been evaluated from the global spectral element matrix and observed that some natural frequencies lies in the attenuation band. Therefore, the level of attenuation near that natural frequencies is significantly less and cannot be identified from the dispersion diagram of the infinite RECM.

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刚弹性组合梁中的弯曲波传播

本文采用谱元法、傅里叶反变换法和传递矩阵法，研究了两根欧拉-伯努利梁之间有限数量的刚弹性组合梁(RECM)单元对弯曲波的传播、衰减和反射。采用刚体动力学方法建立了RECM单元代表单元的谱元。确定了控制无量纲参数。进一步进行了灵敏度分析，了解了质量比、长度比、转动惯量比等非量纲参数对衰减曲线的影响。刚体的旋转惯性产生局部共振(LR)带，它可以弥合两个Bragg散射(BS)带之间的间隙，并且对于控制无量纲参数的特定组合产生超宽的阻带。在RECM中可以获得164%的归一化衰减带。从全局谱元矩阵求出了有限RECM的固有频率，并观察到一些固有频率位于衰减带内。因此，该固有频率附近的衰减水平明显较小，无法从无限RECM的色散图中识别出来。

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来源期刊

Journal of Vibration and Acoustics-Transactions of the Asme 工程技术-工程：机械

CiteScore

4.20

自引率

11.80%

发文量

审稿时长

7 months

期刊介绍： The Journal of Vibration and Acoustics is sponsored jointly by the Design Engineering and the Noise Control and Acoustics Divisions of ASME. The Journal is the premier international venue for publication of original research concerning mechanical vibration and sound. Our mission is to serve researchers and practitioners who seek cutting-edge theories and computational and experimental methods that advance these fields. Our published studies reveal how mechanical vibration and sound impact the design and performance of engineered devices and structures and how to control their negative influences. Vibration of continuous and discrete dynamical systems; Linear and nonlinear vibrations; Random vibrations; Wave propagation; Modal analysis; Mechanical signature analysis; Structural dynamics and control; Vibration energy harvesting; Vibration suppression; Vibration isolation; Passive and active damping; Machinery dynamics; Rotor dynamics; Acoustic emission; Noise control; Machinery noise; Structural acoustics; Fluid-structure interaction; Aeroelasticity; Flow-induced vibration and noise.