Magnetic Control of Vibrational Behavior of Smart FG Sandwich Plates with Honeycomb Core via a Quasi-3D Plate Theory,Advanced Engineering Materials

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Magnetic Control of Vibrational Behavior of Smart FG Sandwich Plates with Honeycomb Core via a Quasi-3D Plate Theory
Advanced Engineering Materials ( IF 3.4 ) Pub Date : 2023-03-16 , DOI: 10.1002/adem.202300096
Mohammed Sobhy _{1,

2} , Fatemah H.H. Al Mukahal ₁

Affiliation

Herein, vibrational behavior of functionally graded (FG) smart piezoelectric sandwich plates with honeycomb core resting on viscoelastic foundation under the effect of 2D magnetic field is presented. By varying the magnetic-field magnitude and its direction, the vibrations can be controlled. The plate is composed of two FG piezoelectric layers bonded with honeycomb structure as a mid-layer. Magnetic Lorentz force will be deduced via Maxwell's relations. A new quasi-3D plate theory considering the shear and normal deformations is incorporated to evaluate the displacements. The governing equations of motion are introduced via Hamilton's principle. Galerkin technique is considered to solve the motion equations for different boundary conditions. Influences of the magnetic field, boundary conditions, electric voltage, and core thickness on the eigenfrequency of the FG sandwich piezoelectric plate are illustrated. It is found that considering the effect of the magnetic field on the smart devices increases their vibrations, which may lead to an increment in the energy harvested from them. Further, when the magnetic field is applied along the length of the rectangular plate, the vibrations are reduced and vice versa.

中文翻译：

通过准三维板理论对具有蜂窝芯的智能 FG 夹层板的振动行为进行磁控制

在此，介绍了在二维磁场作用下，基于粘弹性基础的蜂窝芯功能梯度 (FG) 智能压电夹层板的振动行为。通过改变磁场强度及其方向，可以控制振动。该板由两个 FG 压电层组成，中间层为蜂窝结构。磁洛伦兹力将通过麦克斯韦关系推导出来。一种新的考虑剪切变形和法向变形的准三维板理论被纳入评估位移。运动的控制方程是通过哈密顿原理引入的。伽辽金技术被认为是求解不同边界条件下的运动方程。磁场、边界条件、电压的影响，FG 夹层压电板的本征频率和磁芯厚度如图所示。研究发现，考虑到磁场对智能设备的影响会增加它们的振动，这可能会导致从它们收集的能量增加。此外，当沿矩形板的长度方向施加磁场时，振动会减少，反之亦然。

更新日期：2023-03-16

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