区间参数空间结构的瞬态温度场数值分析  

NUMERICAL ANALYSIS OF TRANSIENT TEMPERATURE FIELD OF SPACE STRUCTURE WITH INTERVAL PARAMETERS

作　　者：云永琥[1] 陈建军[1] 阎彬[1] 赵宽[1] 曹鸿钧[1] 

机构地区：[1]西安电子科技大学电子装备结构设计教育部重点实验室,西安710071

出　　处：《工程力学》2013年第11期9-14,共6页Engineering Mechanics

基　　金：国家自然科学基金项目(51175398)

摘　　要：针对含有区间参数的空间薄壁圆管结构,基于区间分析理论,给出其在持续热流作用下瞬态温度场问题的区间分析方法。将结构所有物性参数均视为区间变量,建立了空间结构的瞬态热分析有限元模型,对该模型在空间域上利用有限元离散,在时间域上利用差分递推。基于区间扩张理论和Taylor级数展开,利用矩阵摄动方法求解,获得了区间参数结构的瞬态温度场响应的区间范围。通过算例的计算结果与参考文献结果的对比,显示了文中计算模型的合理性和方法的有效性。A space thin-walled tube structure with interval parameters is studied. Based on interval analysis theory, an interval method is presented for the transient temperature field problem of space structures subjected to solar heat flux continuously. In this method, all parameters are regarded as interval parameters, and a transient thermal analysis model for space structures is established by FEM. In order to solve this problem, the regions of space are discretized by finite elements and the regions of time are discretized by the recursive computation of difference. Based on interval extension theory and Taylor series expansion, the interval finite element equation of a structure is solved by matrix perturbation formulas, and then the range of temperature field responses of the structure is obtained. The present results and the reference results are compared by a numerical example, and it indicates the rationality of the computational model and the efficiency of the method.

关 键 词：空间结构 区间参数 区间有限元 矩阵摄动 瞬态温度场 

分 类 号：O551.3[理学—热学与物质分子运动论]