湿热环境下嵌入黏弹性基础中的黏弹性磁致伸缩板的振动  

Vibration of viscoelastic magnetostrictive plates embedded in viscoelastic foundations in hygrothermal environments

作　　者：Ashraf M.Zenkour Hela D.El-Shahrany 

机构地区：[1]Department of Mathematics,Faculty of Science,King Abdulaziz University,Jeddah,21589,Saudi Arabia [2]Department of Mathematics,Faculty of Science,Kafrelsheikh University,Kafrelsheikh,33516,Egypt [3]Department of Mathematics,Faculty of Science,University of Bisha,Bisha,67714,Saudi Arabia

出　　处：《Acta Mechanica Sinica》2023年第5期144-159,共16页力学学报（英文版）

摘　　要：本文研究了湿热荷载作用下自适应夹芯板在黏弹性介质中的振动.简单支撑的夹芯板包含三种类型的层:纤维增强层、两个磁致伸缩致动器和黏弹性面.结构的顶部和底部建模为Kelvin-Voigt黏弹性模型.基于板理论,主要振动模式应用汉密尔顿原理.数值算例研究了各种参数对湿热振动特性的影响,如厚度比、长径比、黏弹性与磁致伸缩层厚度比、模态、黏弹性基体刚度和阻尼系数、层压方案、反馈系数大小、磁致伸缩层位置、黏弹性结构阻尼、温升和水分浓度的程度.研究结果表明温度和湿度浓度是影响振动的主要因素.对于在湿热荷载作用下板的设计,上述研究结果有助于智能结构的开发与应用并控制其在这种环境条件下的振动.Under hygrothermal loads,vibration analysis of adaptive sandwich plates resting on the viscoelastic medium is presented in the current study.The simply supported sandwich plates contain three types of layers:a fiber-reinforced layer,two magnetostrictive actuators,and viscoelastic faces.The top and bottom of the structure are modeled as Kelvin-Voigt viscoelastic models.Based on the unified plate theory,the governing motion system is deduced utilizing Hamilton’s principle.Some numerical examples are presented to illustrate the influences of various parameters on hygrothermal vibration characteristics such as the effect of the thickness ratio,aspect ratio,viscoelastic to magnetostrictive layer thickness ratio,modes,stiffness and damping coefficients of the viscoelastic substrate,lamination schemes,magnitude of the feedback coefficient,location of the magnetostrictive layers,viscoelastic structural damping,temperature rise and degree of the moisture concentration.The findings refer to the vibration characteristics that are sensitive to temperature and humidity concentrations.The design of the plate considering the mentioned observations in the study,maybe help in the development of smart structural applications and control their vibration in such environmental conditions.

关 键 词：Vibration suppression Laminated composite plate Magnetostrictive and viscoelastic materials Hygrothermal loads Visco-Pasternak’s foundations 

分 类 号：O343[理学—固体力学]