Vibration reduction and wave reflection performance of radial-periodic annular acoustic black hole plate

IF 8.3 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures Pub Date : 2026-05-01 Epub Date: 2026-02-14 DOI:10.1016/j.tws.2026.114679

Yue Bao , Linxin Cai , Chenliang Zheng , Shaogan Ye , Xiaosong Xia , Liang Hou , Xiaoran Wang

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引用次数: 0

Abstract

Periodic two-dimensional acoustic black hole (ABH) plates have attracted considerable attention due to their lightweight and high-efficiency vibration control capabilities. However, most existing studies focus on translationally periodic structures, whereas the vibration analysis of circular ABH plates with radially periodic and enlarged tapered-thickness regions remains intractable because of the quasi-periodic characteristics and complex wave interactions. In this study, a radially periodic annular ABH plate model is proposed, and its dynamic performance is systematically compared with that of a conventional single ABH circular plate. To evaluate the dynamic behavior of the proposed configuration, a transfer matrix method based on the partitioned-element concept is developed and validated through finite element simulations. In addition, the energy dissipation of flexural wave is characterized using a wave-based approach. Analyses of wave reflection coefficients and vibration responses demonstrate that the radially periodic ABH circular plate exhibits pronounced advantages in damping coupling and broadband vibration attenuation, which can be attributed to a significant increase in localized ABH modes and the enhanced global-damping modes. The results show that both the mean velocity of the uniform portion and the vibration transmission loss are reduced by >20 dB compared with the conventional circular ABH plate over the frequency range of 10–6000 Hz. Dynamic experiments further confirm the accuracy of the theoretical predictions, as well as the effectiveness of the proposed structure in vibration attenuation and isolation. Moreover, comprehensive parametric analyses reveal that reducing the residual thickness and increasing the power-law exponent can significantly enhance the vibration attenuation performance of radially periodic ABH structures. This work provides new insights into broadband vibration absorption and isolation in circular plate structures.

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径向周期环形声黑洞板的减振与波反射性能

周期二维声黑洞（ABH）板由于其轻量化和高效的振动控制能力而备受关注。然而，现有的研究大多集中在平移周期结构上，而具有径向周期和扩大锥形厚度区域的圆形ABH板由于其准周期特性和复杂的波相互作用而难以分析。本文提出了一种径向周期环形ABH板模型，并与传统单ABH圆板的动态性能进行了系统比较。为了评估该结构的动态特性，提出了一种基于分区单元概念的传递矩阵方法，并通过有限元仿真进行了验证。此外，还利用基于波的方法对弯曲波的能量耗散进行了表征。波反射系数和振动响应分析表明，径向周期ABH圆板在阻尼耦合和宽带减振方面具有明显的优势，这可以归因于局域ABH模态的显著增加和全局阻尼模态的增强。结果表明，在10 ~ 6000 Hz的频率范围内，与传统的圆形ABH板相比，均匀部的平均速度和振动传递损失都降低了20 dB；动力实验进一步证实了理论预测的准确性，以及所提出的结构在减振和隔振方面的有效性。综合参数分析表明，减小残余厚度和增加幂律指数可以显著提高径向周期ABH结构的减振性能。这项工作为圆板结构的宽带振动吸收和隔离提供了新的见解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Thin-Walled Structures 工程技术-工程：土木

CiteScore

9.60

自引率

20.30%

发文量

801

审稿时长

66 days

期刊介绍： Thin-walled structures comprises an important and growing proportion of engineering construction with areas of application becoming increasingly diverse, ranging from aircraft, bridges, ships and oil rigs to storage vessels, industrial buildings and warehouses. Many factors, including cost and weight economy, new materials and processes and the growth of powerful methods of analysis have contributed to this growth, and led to the need for a journal which concentrates specifically on structures in which problems arise due to the thinness of the walls. This field includes cold– formed sections, plate and shell structures, reinforced plastics structures and aluminium structures, and is of importance in many branches of engineering. The primary criterion for consideration of papers in Thin–Walled Structures is that they must be concerned with thin–walled structures or the basic problems inherent in thin–walled structures. Provided this criterion is satisfied no restriction is placed on the type of construction, material or field of application. Papers on theory, experiment, design, etc., are published and it is expected that many papers will contain aspects of all three.