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功能梯度压电-压磁板中消逝兰姆波的复频散及特性计算

The Computation of Complex Dispersion and Properties of Evanescent Lamb Wave in Functionally Graded Piezoelectric-Piezomagnetic Plates.

作者信息

Zhang Xiaoming, Li Zhi, Yu Jiangong

机构信息

School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454000, China.

出版信息

Materials (Basel). 2018 Jul 10;11(7):1186. doi: 10.3390/ma11071186.

DOI:10.3390/ma11071186
PMID:29996563
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6073724/
Abstract

Functionally graded piezoelectric-piezomagnetic material (FGPPM), with a gradual variation of the material properties in the desired direction(s), can improve the conversion of energy among mechanical, electric, and magnetic fields. Full dispersion relations and wave mode shapes are vital to understanding dynamic behaviors of structures made of FGPPM. In this paper, an analytic method based on polynomial expansions is proposed to investigate the complex-valued dispersion and the evanescent Lamb wave in FGPPM plates. Comparisons with other related studies are conducted to validate the correctness of the presented method. Characteristics of the guided wave, including propagating modes and evanescent modes, in various FGPPM plates are studied, and three-dimensional full dispersion and attenuation curves are plotted to gain a deeper insight into the nature of the evanescent wave. The influences of the gradient variation on the dispersion and the magneto-electromechanical coupling factor are illustrated. The displacement amplitude and electric potential and magnetic potential distributions are also discussed in detail. The obtained numerical results could be useful to design and optimize different sensors and transducers made of smart piezoelectric and piezomagnetic materials with high performance by adjusting the gradient property.

摘要

功能梯度压电-压磁材料（FGPPM）在期望的方向上材料特性逐渐变化，能够改善机械、电场和磁场之间的能量转换。完全色散关系和波模形状对于理解由FGPPM制成的结构的动态行为至关重要。本文提出一种基于多项式展开的解析方法，用于研究FGPPM板中的复值色散和消逝兰姆波。与其他相关研究进行了比较，以验证所提方法的正确性。研究了各种FGPPM板中导波的特性，包括传播模式和消逝模式，并绘制了三维完全色散和衰减曲线，以更深入地了解消逝波的本质。阐述了梯度变化对色散和磁电耦合系数的影响。还详细讨论了位移幅值、电势和磁势分布。通过调整梯度特性，所获得的数值结果对于设计和优化由高性能智能压电和压磁材料制成的不同传感器和换能器可能是有用的。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b2db/6073724/9f95cf988403/materials-11-01186-g012.jpg
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本文引用的文献

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Sparse and Dispersion-Based Matching Pursuit for Minimizing the Dispersion Effect Occurring when Using Guided Wave for Pipe Inspection.基于稀疏和离散度的匹配追踪算法，用于最小化在管道检测中使用导波时出现的离散效应。
Materials (Basel). 2017 Jun 6;10(6):622. doi: 10.3390/ma10060622.
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Conversion of evanescent Lamb waves into propagating waves via a narrow aperture edge.
通过窄孔径边缘将消逝兰姆波转换为传播波。
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