磁场环境中几何非线性导电薄板的热弹性耦合振动  

THERMO-ELASTIC COUPLING VIBRATION OF GEOMETRIC NONLINEARITY CONDUCTIVE THIN PLATE IN MAGNETIC FIELD

作　　者：张建平[1,2] 颜志江 戴咏夏[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,武义321210

出　　处：《机械强度》2011年第2期159-164,共6页Journal of Mechanical Strength

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

摘　　要：基于涡电流热效应引起的温度场初边值问题和非线性热磁弹性力学的基本方程,在计及面内磁体力的前提下,研究几何非线性导电薄板在横向时变磁场及面内恒定磁场共同作用下的热弹性耦合动力响应,并对导电薄板的涡电流、磁力、温度以及挠度随外加磁场的变化情况进行定量模拟。数值结果表明,在考虑面内磁体力和几何非线性效应的情况下,当横向磁场较小时,面内磁体力的作用可以忽略,但必须考虑涡电流的热效应,而当横向磁场增加到一定值时,面内磁体力对变形场造成的影响作用比涡电流热效应的大,此时必须同时考虑面内磁体力和涡电流热效应对多场耦合行为分析所带来的影响。Based on the initial boundary-value problem of temperature field arisen from eddy current heat effect and the nonlinear thermo-magnetoelasticity coupled dynamic equations,the dynamic response behavior of the geometric nonlinearity conductive plate subjected to the thermo-elastic coupling in the transverse time-varying and in-plane constant magnetic fields was studied when in-plane magnetic volume forces were taken into account.Some mechanical characteristics of the conductive thin plate,which included eddy current,magnetic force,temperature and deflection varying with the external magnetic field,were quantitatively simulated.The numerical results indicate that it is necessary to take the action produced by eddy current heat effect into account and neglect the one caused by in-plane magnetic volume forces with in-plane magnetic volume forces and geometric nonlinearity considered when transverse magnetic field is fairly small,and that the influences of in-plane magnetic volume forces on the deformation are much stronger than the ones due to eddy current heat effect while transverse magnetic field is up to a certain value.Therefore,eddy current heat effects and in-plane magnetic volume forces are synchronously considered in analysis of multi-field coupling behavior.

关 键 词：导电薄板 热弹性耦合 几何非线性 面内磁体力 动力响应 

分 类 号：O322[理学—一般力学与力学基础] TB24[理学—力学]