| 基于凝聚函数法的稳态热传导区间反演 |
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| 引用本文： | 薛齐文,杨海天. 基于凝聚函数法的稳态热传导区间反演[J]. 大连交通大学学报, 2007, 28(4): 14-17 |
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| 作者姓名： | 薛齐文 杨海天 |
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| 作者单位： | 大连交通大学 |
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| 摘 要： | 考虑观测数据的不确定性,建立了识别稳态热传导边界条件和导热系数的有限元数值反演模型.采用凝聚函数法将此非线性规划问题转化为一个可微的单约束优化问题,在此基础上采用乘子罚函数法求解,获得了反演变量所在区间范围.
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| 关 键 词： | 区间分析 凝聚函数法 反问题 热传导 |
| 文章编号： | 1673-9590（2007）04-0014-04 |
| 收稿时间： | 2007-01-29 |
| 修稿时间： | 2007-01-29 |
Interval Inverse Analysis of Heat Conduction Problem in Steady State Based on Aggregate Function Method |
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| XUE Qi-wen,YANG Hai-tian. Interval Inverse Analysis of Heat Conduction Problem in Steady State Based on Aggregate Function Method[J]. Journal of Dalian Jiaotong University, 2007, 28(4): 14-17 |
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| Authors: | XUE Qi-wen YANG Hai-tian |
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| Abstract: | A FE model is presented for solving state, considering the uncertain property of the inverse heat conduction problems in the steady measured data. The problem of non-linear programming with multi-constrains of inequality can be converted into an optimization with a single differentiable constraint by exploiting a maximum entropy based function method. The interval of inverse parameters can be obtained by using a technique of multiplier penalty functions for the present model. |
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| Keywords: | interval analysis aggregate function method inverse problem heat conduction |
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