磁弹性耦合作用下悬臂导电薄板的非线性动态响应分析  

Nonlinear dynamic response for cantilever conductive thin plate due to magnetoelastic interaction

作　　者：张建平[1] 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

出　　处：《核聚变与等离子体物理》2009年第4期289-294,共6页Nuclear Fusion and Plasma Physics

基　　金：上海市自然科学基金资助项目(09ZR1413000);上海市高等学校本科教育高地建设资助项目;上海市科委重点科技攻关计划资助项目(08160510600)

摘　　要：针对核聚变反应堆中受到复杂磁场作用的限制器叶片,用悬臂导电薄板作为其简化结构,从导电介质所满足的电磁学及力学的基本定律和方程出发,建立了描述其力-电-磁耦合作用下几何非线性动态响应问题的理论模型,给出了数值计算的求解过程,定量模拟了面内磁体力和几何非线性对薄板挠度的影响。仿真结果显示,在横向磁场很小时,面内磁体力和大挠度都不考虑时的线性结果是可靠的,但是随着横向磁场的增加,几何非线性的影响越来越大,面内磁体力的作用也越发明显,且考虑几何非线性得到的挠度峰值要比线性情形的小,这表明了在导电结构设计中必须同时考虑面内磁体力和几何非线性效应。For the limiter blade in fusion reactor under the complicated magnetic field, a cantilever conductive thin plate was employed as its simplify structure, and a theoretical model was established to describe the dynamic response behavior of geometric nonlinearity under the condition of mechanics-electricity-magnetism interactions based on electromagnetic and mechanical basic laws and equations of conductive media. The solving processes for numerical calculation were given, and the influences of in-plane magnetic volume forces and geometric nonlinearity on the deformation of thin plate were quantitatively simulated. The simulation results indicate that it is not necessary to take in-plane magnetic volume forces and the deformation into account under the condition of fairly small transverse magnetic field while their effects are more obvious with the increase of transverse magnetic field, and that the deflection peak with geometric nonlinearity is smaller than that from linearity. Therefore, the effects of geometric nonlinearity and in-plane magnetic volume forces are synchronously considered in the conductive structure design.

关 键 词：磁弹性耦合 几何非线性 导电薄板 面内磁体力 动态响应 

分 类 号：TL69[核科学技术—核技术及应用]