| 具有区间参数的瞬态温度场数值分析 |
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| 引用本文： | 李金平,陈建军,刘国梁,李军锁.具有区间参数的瞬态温度场数值分析[J].电子科技大学学报(社会科学版),2009(3). |
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| 作者姓名： | 李金平 陈建军 刘国梁 李军锁 |
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| 作者单位： | 西安电子科技大学机电工程学院;中国空间技术研究院卫星应用系统部; |
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| 基金项目： | 国家863计划(2006AA04Z402); 部级预研基金 |
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| 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。
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| 关 键 词： | 区间分析 区间参数 矩阵摄动 温度场 不确定性 |
Numerical Analysis of Transient Temperature Field with Interval Parameters |
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| LI Jin-ping,CHEN Jian-jun,LIU Guo-liang, LI Jun-suo.Numerical Analysis of Transient Temperature Field with Interval Parameters[J].Journal of University of Electronic Science and Technology of China(Social Sciences Edition),2009(3). |
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| Authors: | LI Jin-ping CHEN Jian-jun LIU Guo-liang LI Jun-suo |
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| Institution: | LI Jin-ping1,CHEN Jian-jun1,LIU Guo-liang1,, LI Jun-suo2 (1.School of Electromechanical Engineering,Xidian University Xi'an 710071,2.Space Star of China Academy of Space Technology Xi'an 710065) |
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| Abstract: | 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 analy... |
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| Keywords: | interval analysis interval parameters matrix perturbation temperature field uncertainty |
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