摘要
针对不确定结构的瞬态热传导问题,提出一种将结构的各个物理参数和温度的初、边值条件均视为区间变量,并利用区间分析进行处理的方法。对具有区间参数的热传导抛物型方程的求解,在空间域上利用有限单元离散,在时间域上利用差分离散,将区间分析和常规的有限元法相结合,建立了基于单元的区间有限元方法。利用矩阵摄动公式求解结构的区间有限元方程,获得了结构瞬态温度场响应的范围。通过一瞬态热传导问题的算例表明该方法的可行性和有效性。
A method using interval analysis is presented for transient heat conduction problems of uncertain structure. In this method, each parameter and initial boundary conditions are regarded as interval parameters. In order to solve parabolic equation of heat conduction with interval parameters, the regions of space are discretized by finite elements and the regions of time are discretized by finite difference. The interval finite element method based on the element is established via the combination of interval analysis and the traditional finite element method. The interval finite equation of structure is solved by matrix perturbation formulas, and then the range of temperature field response of the structure is obtained. The proposed method is finally applied to the problem of transient heat conduction which shows its effectiveness.
出处
《电子科技大学学报》
EI
CAS
CSCD
北大核心
2009年第3期463-466,共4页
Journal of University of Electronic Science and Technology of China
基金
国家863计划(2006AA04Z402)
部级预研基金
关键词
区间分析
区间参数
矩阵摄动
温度场
不确定性
interval analysis
interval parameters
matrix perturbation
temperature field
uncertainty
