悬臂导电薄板磁弹性耦合作用下的磁阻尼分析  

Magnetic damping analysis of magnetoelastic coupling interactions for cantilever conductive thin plate

作　　者：张建平[1,2] 戴咏夏[1] 颜志江 纪冬梅[1] 王昊[1] 

机构地区：[1]上海电力学院能源与环境工程学院,上海200090 [2]上海交通大学机械与动力工程学院,上海200240 [3]浙江驰江工贸有限公司,浙江武义321210

出　　处：《吉林大学学报（工学版）》2011年第2期413-418,共6页Journal of Jilin University:Engineering and Technology Edition

基　　金：上海市自然科学基金项目(09ZR1413000);上海市教育委员会重点学科(第五期)项目(G51304);上海市教育委员会科研创新项目(11ZZ172;11ZZ171);上海市教育委员会第三期本科教育高地建设项目

摘　　要：针对处于外加磁场作用下的悬臂导电薄板,基于导电介质所满足的电磁学及力学基本定律和方程,建立了描述其力-电-磁耦合作用下几何非线性振动问题的理论模型,并给出了等效阻尼系数的确定方法,定量模拟了面内恒定磁场给涡电流和挠度耦合程度以及磁阻尼强弱所带来的影响。仿真结果表明,随着面内恒定磁场的增加,几何非线性效应和由耦合作用引起的磁阻尼会增强,而等效阻尼系数随着周期或时间是衰减的,并随着面内恒定磁场的增加而增加,这为磁场环境中导电结构的振动控制研究提供了一定的科学依据。For the cantilever conductive thin plate under external magnetic field,a theoretical model was established to describe the vibration problem of geometric nonlinearity under the mechanics-electricity-magnetism coupling interactions.This model is based on the basic laws and equations of electromagnetics and mechanics of conductive media.Furthermore,the method to determine the effective damping factor was given,and the influences of in-plane constant magnetic field on eddy,deformation and magnetic damping were quantitatively simulated.Numerical results demonstrate that the effects of geometric nonlinearity and the coupling induced magnetic damping become stronger as the in-plane constant magnetic field increases.The effective damping factor decays with the period or the time,but increases with the in-plane constant magnetic field.This study provides scientific basis for the vibration control of conductive structures in magnetic field environment.

关 键 词：磁阻尼 导电薄板 磁弹性耦合作用 几何非线性 面内磁体力 

分 类 号：O322[理学—一般力学与力学基础] TB24[理学—力学]