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圆柱腔双板声子晶体的减振特性分析与参数优化

Analysis of Vibration-Damping Characteristics and Parameter Optimization of Cylindrical Cavity Double-Plate Phononic Crystal.

作者信息

Song Chunsheng, Yang Qi, Xiong Xuechun, Yin Rui, Jia Bo, Liang Yaru, Fang Haining

机构信息

School of Mechanical and Electrical Engineering, Wuhan University of Technology, Wuhan 430070, China.

School of Management, Wuhan University of Technology, Wuhan 430070, China.

出版信息

Materials (Basel). 2023 Jun 26;16(13):4605. doi: 10.3390/ma16134605.

DOI:10.3390/ma16134605
PMID:37444919
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10342448/
Abstract

For the application of low-frequency vibration damping in industry, a cylindrical cavity double-layer plate-type local resonance phononic crystal structure is proposed to solve low-frequency vibration in mechanical equipment. Initially, using COMSOL 5.4 software, the bending wave band gap is calculated in conjunction with elastic dynamics theory and the BOLOCH theorem to be 127-384 Hz. Then the mechanism of bending wave gap is analyzed by combining element mode shape and an equivalent model. Subsequently, the bending vibration transmission characteristics of the crystal plate are explained, and the vibration-damping characteristics are illustrated in combination with the time-frequency domain. An experimental system is constructed to verify the vibration-damping properties of crystal plates; the experimental results and simulation results are verified with each other. Finally, the element structural parameters are optimized using the RSM. Fifty-four sets of experiments are designed based on six structural factors and three levels, and the expressions between the bending wave band gap and six structural factors are obtained. Combining the particle swarm algorithm, the optimization is performed with the band gap width as the target. This method is shown to be more accurate than the commonly used interior point method. The structure of cylindrical-cavity-type phononic crystal and the parameter optimization method proposed in this paper provide a certain reference for the design of local-resonance-type phononic crystal.

摘要

针对低频减振在工业中的应用，提出了一种圆柱腔双层板式局部共振声子晶体结构，以解决机械设备中的低频振动问题。首先，利用COMSOL 5.4软件，结合弹性动力学理论和布洛赫定理计算出弯曲波带隙为127 - 384 Hz。然后，通过结合单元模态形状和等效模型分析弯曲波隙的机理。随后，阐述了晶体板的弯曲振动传递特性，并结合时频域说明了减振特性。构建了一个实验系统来验证晶体板的减振性能；实验结果与模拟结果相互验证。最后，利用响应曲面法对单元结构参数进行优化。基于六个结构因素和三个水平设计了54组实验，得到了弯曲波带隙与六个结构因素之间的表达式。结合粒子群算法，以带隙宽度为目标进行优化。结果表明，该方法比常用的内点法更精确。本文提出的圆柱腔型声子晶体结构及参数优化方法为局部共振型声子晶体的设计提供了一定的参考。

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