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功能梯度压电-压磁扇形圆柱结构中导波的磁电效应

Magneto-Electric Effect on Guided Waves in Functionally Graded Piezoelectric⁻Piezomagnetic Fan-Shaped Cylindrical Structures.

作者信息

Zhang Bo, Yu Jiangong, Elmaimouni Lahoucine, Zhang Xiaoming

机构信息

School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454003, China.

LSIE-ERMAM, Faculté Polydisciplinaire d'Ouarzazate, Université Ibn Zohr, 45000 Ouarzazate, Morocco.

出版信息

Materials (Basel). 2018 Nov 2;11(11):2174. doi: 10.3390/ma11112174.

DOI:10.3390/ma11112174
PMID:30400249
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6266281/
Abstract

Functionally graded piezoelectric⁻piezomagnetic (FGPP) material simultaneously consists of piezomagnetic and piezoelectric phases, which are able to convert energy among mechanical, electric, and magnetic fields. The magneto-electric effect on waves in FGPP fan-shaped cylindrical structures is studied by exploiting the double Legendre orthogonal polynomial method. By means of the Heaviside function, the initial conditions are brought into wave motion equations. Dispersion properties, electric and magnetic potential, and the Poynting vector are calculated. Subsequently, the effect of the graded variation and geometric size on wave characteristics is analyzed. The FGPP fan-shaped cylindrical structures are of complex geometrical shape and material inhomogeneity, so their influences on the magneto-electric effect are the focus of discussion. Results reveal that the cut-off frequencies have a negative relationship with the cross-section area of the structure. The magneto-electric effect could be adjusted via altering the geometric size of the cross-section. These results can be utilized to design and optimize piezoelectric⁻piezomagnetic fan-shaped transducers.

摘要

功能梯度压电压磁(FGPP)材料同时由压磁相和压电相组成,它们能够在机械、电场和磁场之间转换能量。利用双勒让德正交多项式方法研究了FGPP扇形圆柱结构中波的磁电效应。通过海维赛德函数将初始条件引入波动方程。计算了色散特性、电势和磁势以及坡印廷矢量。随后,分析了梯度变化和几何尺寸对波特性的影响。FGPP扇形圆柱结构具有复杂的几何形状和材料不均匀性,因此它们对磁电效应的影响是讨论的重点。结果表明,截止频率与结构的横截面积呈负相关。磁电效应可以通过改变横截面的几何尺寸来调节。这些结果可用于设计和优化压电压磁扇形换能器。

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