载流板壳电磁、热、机械场耦合的弹性效应分析  

Elastic Effect Analysis of the Current-carring Plate and Shell in Electromagnetic Thermal and Mechnincal Field

作　　者：田振国[1] 白象忠[1] 

机构地区：[1]燕山大学建筑工程与力学学院,河北秦皇岛066004

出　　处：《应用基础与工程科学学报》2009年第2期318-325,共8页Journal of Basic Science and Engineering

基　　金：国家自然科学基金资助项目(50275128)

摘　　要：在建立载流板壳的电磁场、温度场、机械场耦合非线性运动方程、物理方程、几何方程及电动力学方程基础上,通过变量代换进行变形,整理成含有8个基本未知函数的标准柯西型方程式.考虑了电磁场的焦耳热效应,引入热平衡方程,通过差分及准线性化方法,变换成能用离散正交法编程求解的准线性微分方程组;讨论了载流圆环形薄板应力、温度及变形随外加电磁参量的变化规律,并通过实例证实了可以通过改变电、磁、力场的参数来实现对板壳的应力、应变、温度的控制.Based on the nonlinear kinetic equation of coupling electromagnetic field, temperature field and mechanical field, physical equation, geometrical equation and electrodynamics equation of the current-carrying plate and shell, the normal Cauchy form nonlinear differential equations, which includes eight basic unknown functions in all were obtained by means of variable replacement method. Considering the Joul＇ s heat effect and inducting thermal equilibrium equation, using the difference method and quasi-linearization, the nonlinear equations were reduced to a sequence of solved by the method of discrete orthogonlization. The variant regularity is discussed that the stress, temperature and deformation of the current- carrying annular plate is altered with the variation of loaded electromagnetic parameter, it is proved that the deformation and stress can be controlled by changing the electromagnetic and mechanics parameters.

关 键 词：载流板壳 耦合 电磁场 温度场 机械场 热磁弹性 

分 类 号：O482.6[理学—固体物理] O441[理学—物理]