基于Neumann展开Monte_Carlo有限元法的随机温度场分析.pdfVIP

2007 6 ( ) Jun. 2007 4 J OUR NAL OF XIDIAN UNIV ER SITY Vol. 4 No. Neumann Mont eCarlo 李金平, 陈建军, 刘海锋, 徐 健, 黄宵忭 (西安电子科技大学 机电工程学院, 陕西 西安 710071) : 利用Neumann 展开MonteCarlo 随机有限元法, 对导热系数换热系数热流 度环境温度以及 内热源等物理参数同时具有随机性的温度场问题进行了分析, 给出了节点温度响应的均值变异系数和 节点温度落在某 一区间内的概率计算公式. 通过算例考察了各随机变量的变异性大小对节点温度响应 的影响, 并表明随着结构的自由度数目增大, 文中方法呈现出计算效率高的优点. : Neumann 展开; MonteCarlo 法; 随机有限元; 随机温度场 : O551. : A :2007) 0 045 05 Analysis of stochastic temperature field by the Neumann expansions LI Jinp ing , CH EN Jianj un, LI UH aif eng , X U Jian, H UA N GX iaobian ( School of Mechanoelectronic Engineering, Xidian Univ . , Xian 710071, China) Abstract: An analysis of the plate temperature field with the random heat transfer coefficient, heat exchange coefficient, heat flux density , environment temperature and heat source is made by the Neumann expansions MonteCarlo stochastic finite element method. The computing formulas for the mean value and variance and possibility in some interval of node temperature are given. T he effect of the amount of variances of random variables on node temperature response is considered by the example. The example in this paper shows that as t he number of f reedoms of the structure becomes greater, the method proposed has the advantage of high efficiency . Key Words: Neumann expansions; MonteCarlo method; stochastic finite element method; random temperature field , . , ( ) , . , . , [ 1] [ 2] . , : ( SFEM) MonteCarlo