层叠板瞬态随机温度场的分析  

RANDOMICITY ANALYSIS OF A LINEAR TRANSIENT TEMPERATURE FIELD FOR LAMINATED PLATES

作　　者：王小兵[1] 陈建军[1] 李金平[1] 

机构地区：[1]西安电子科技大学机电工程学院,西安710071

出　　处：《机械强度》2007年第6期964-969,共6页Journal of Mechanical Strength

基　　金：国防预研基金(No51421060505DZ0155);陕西省自然科学基金(No2005A009)资助项目~~

摘　　要：以各层材料不相同的层叠板为研究对象,在热传导和对流边界条件下,利用伽辽金法推导瞬态温度场的有限元微分方程,研究当所有结构参数均具有随机性时,通过方程解耦、特征对随机性分析以及二阶矩方法,对瞬态随机温度场的数字特征进行求解。以三层板结构为算例,并将所得结果与MonteCarlo数值模拟法的结果进行比较,证明文中方法的功效性。For laminated plates with materials of each layer different, under the heat exchange and convection boundary conditioga, a 4-node rectangle element model was adopted and its temperature differential equations were derived by means of Galerkin method. And then, when all parameters axe random, on the basis of decoupling method, randomicity analysis of eigenvalue and eigenvector, and second-moment method, the numeric characteristics of the linear transient stochastic temperature field were obtained. Finally, a 3- layer plates was taken as an example, the numerical results were compared with those of the Monte Carlo method, by which the validity of the method presented is verified.

关 键 词：层叠板 有限元法 随机温度场 特征对 数字仿真 

分 类 号：TB131[理学—物理] TB115[理学—应用物理]