几何调制元梁中的波

IF 4.9 2区 工程技术 Q1 ACOUSTICS
Somraj Sen, Arnab Banerjee
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引用次数: 0

摘要

由于蜂窝和可入角结构具有独特的传播特性和元性质,如带隙和负泊松比,具有抑制振动的潜力,因此波在蜂窝和可入角结构中的传播受到了极大的关注。倾斜构件的加入增加了单元胞内的有效波程,降低了群速度。这促使我们探索各种具有几何调制的梁状结构,如菱形,六边形,矩形和可重新进入的单元格。将基于谱元的公式应用于构造与频率相关的单元胞整体动力刚度矩阵。这些矩阵有助于检查波的传播和衰减,揭示对周期结构的全面见解。该分析涵盖了包括轴向、双轴弯曲(弯曲和剪切)和扭转在内的组合一维波传播。从色散图中发现,所有六种波类型的完全衰减带隙,具有模式耦合和波锁定,是影响动态行为的关键机制。频率响应函数(frf)验证了该方法,在衰减带宽内显示最小或没有响应。此外,还对结构的频率响应进行了数值验证和实验研究。最后,该研究探讨了单元胞的几何形状和方向对带隙加宽和衰减水平的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Waves in geometrically modulated metabeams

Waves in geometrically modulated metabeams
Wave propagation through structures like honeycombs and re-entrant corners has gained significant attention due to their unique propagation characteristics and meta-properties like, bandgaps and negative Poisson’s ratio, having potential for vibration suppression. The inclusion of inclined members increases the effective wave path within the unit cell, lowering the group velocity. This motivates us to explore various beam-like structures with geometric modulations like diamond, hexagonal, rectangular, and re-entrant unit cells. The spectral element-based formulation is applied to construct frequency-dependent global dynamic stiffness matrices of unit cells. These matrices facilitate the examination of wave propagation and attenuation, revealing comprehensive insights into periodic structures. The analysis encompasses combined 1D wave propagation involving axial, biaxial flexure (bending and shear), and torsion. Complete attenuation bandgaps for all six wave types, with mode coupling and wave locking are found, identified from the dispersion diagrams, as key mechanisms influencing the dynamic behavior. Frequency response functions (FRFs) validate the methodology, showing minimal or no response within attenuation bandwidths. Further, numerical validation and experimental investigation of the frequency responses of the structures has been conducted. Lastly, the study explores the impact of unit cell geometry and orientation on bandgap widening and attenuation levels.
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来源期刊
Journal of Sound and Vibration
Journal of Sound and Vibration 工程技术-工程:机械
CiteScore
9.10
自引率
10.60%
发文量
551
审稿时长
69 days
期刊介绍: The Journal of Sound and Vibration (JSV) is an independent journal devoted to the prompt publication of original papers, both theoretical and experimental, that provide new information on any aspect of sound or vibration. There is an emphasis on fundamental work that has potential for practical application. JSV was founded and operates on the premise that the subject of sound and vibration requires a journal that publishes papers of a high technical standard across the various subdisciplines, thus facilitating awareness of techniques and discoveries in one area that may be applicable in others.
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