随机弹性杆在随机瞬态温度场下的热响应分析  

Thermal Response Analysis of Stochastic Pole Structures Under Random Transient Temperature Field

作　　者：阎彬[1] 陈建军[1] 马洪波[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：《电子科技大学学报》2012年第4期631-636,共6页Journal of University of Electronic Science and Technology of China

基　　金：国家自然科学基金(50905134)

摘　　要：研究弹性杆在其物理参数、温度场同时具有随机性时的热响应。利用隐式差分法求解随机瞬态温度场,结合Monte-Carlo模拟法得到各时间节点处结构温度场分布的数字特征。利用随机因子的有限元法推导出在各时间节点处结构位移和单元应力响应的均值和方差计算表达式,其中加入了随机机械载荷的影响。通过悬臂杆的算例,得到结构各节点位移响应及单元应力响应在瞬态变温阶段内均值和均方差的变化规律;并考察了在随机力载荷和随机热载荷共同作用下,各随机参数的分散性对响应分散性的影响。The thermal response of stochastic elastic pole structure under random temperature field is researched in this paper. The transient temperature field is solved by using the method of implicit difference and the numerical characteristics of node temperature field in every time step is obtained with Monte-Carlo simulation. The computation expressions of mean and variance of displacement and stress in every time step are derived from f＇mite element method based on random factor with consideration of mechanical loads. An example of cantilever pole analysis shows the change to the mean value and mean-square deviation of displacement and stress of the random variables in transient duration, and the influence of the response dispersion due to the dispersion of the random parameters under both random static load and random thermal load.

关 键 词：数字特征 隐式差分 随机因子 热响应 瞬态温度场 

分 类 号：O551[理学—热学与物质分子运动论]